Skip to content

M
mathematica
Commit 1d727bf3 authored by himyss's avatar himyss
Browse files
Options

wf in systems

parent dea397f5
Show whitespace changes
Inline Side-by-side
Showing with 1565 additions and 0 deletions
bounded3He.nb 0 → 100644
View file @ 1d727bf3
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 12.0' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 31511, 731]
NotebookOptionsPosition[ 29937, 696]
NotebookOutlinePosition[ 30335, 712]
CellTagsIndexPosition[ 30292, 709]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"Mp", "=", "938.272"}], ";"}], " ",
RowBox[{"(*",
RowBox[{
RowBox[{"mass", " ", "of", " ", "proton"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"Mn", "=", "939.565"}], ";"}],
RowBox[{"(*",
RowBox[{
RowBox[{"mass", " ", "of", " ", "neutron"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"Ebind", "=", "7.718"}], " ", ";"}],
RowBox[{"(*",
RowBox[{
RowBox[{"binding", " ", "energy", " ",
SuperscriptBox[
RowBox[{"of", " "}], "3"], "He"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"Esep", "=", "5.49351"}], ";", " ",
RowBox[{"(*",
RowBox[{
RowBox[{"1", "p", " ", "separation", " ", "energy", " ",
SuperscriptBox[
RowBox[{"for", " "}], "3"], "He"}], ",", " ", "MeV"}], "*)"}],
"\[IndentingNewLine]",
RowBox[{"p", "=", "197.327"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"mass", "=", "625.411"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"range", "=", "2.5"}], ";"}]}], "Input",
CellChangeTimes->{{3.8762198970264225`*^9, 3.8762199052580624`*^9}, {
3.8771827496672716`*^9, 3.8771827824193807`*^9}, {3.878286651057734*^9,
3.8782866641181517`*^9}, 3.87828681545533*^9, {3.878287607680107*^9,
3.8782876162121983`*^9}, {3.878288500983369*^9, 3.878288503593914*^9}, {
3.878288562531385*^9, 3.878288589887306*^9}, {3.8782886404025097`*^9,
3.8782886526954603`*^9}, {3.879567012355792*^9, 3.879567019384864*^9}, {
3.879568558358831*^9, 3.879568558418344*^9}, {3.87956872817546*^9,
3.879568728576707*^9}, {3.879571401760208*^9, 3.87957144648076*^9}, {
3.87957152299862*^9, 3.8795715245943327`*^9}},
CellLabel->"In[16]:=",ExpressionUUID->"ad6df89e-d3d8-490c-ae91-dac6d80d1b5a"],
Cell[BoxData[{
RowBox[{
RowBox[{"fIn", "[",
RowBox[{"q_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{"q", " ", "r", " ",
RowBox[{"SphericalBesselJ", "[",
RowBox[{"ang", ",",
RowBox[{"q", " ", "r"}]}], "]"}]}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"fOut", "[",
RowBox[{"k_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "Pi"], "k", " ", "r"}], ")"}],
FractionBox["1", "2"]], " ",
RowBox[{"BesselK", "[",
RowBox[{
RowBox[{"ang", "+",
FractionBox["1", "2"]}], ",",
RowBox[{"k", " ", "r"}]}], "]"}]}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfInR", "[",
RowBox[{"q_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{"D", "[",
RowBox[{
RowBox[{"fIn", "[",
RowBox[{"q", ",", "r", ",", "ang"}], "]"}], ",", "r"}],
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfIn", "[",
RowBox[{"q_", ",", "ang_"}], "]"}], ":=",
RowBox[{"Simplify", "[",
RowBox[{
RowBox[{"dfInR", "[",
RowBox[{"q", ",", "r", ",", "ang"}], "]"}], "/.",
RowBox[{"r", "->", "range"}]}], "]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfOutR", "[",
RowBox[{"k_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{"D", "[",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "Pi"], "k", " ", "r"}], ")"}],
FractionBox["1", "2"]], " ",
RowBox[{"BesselK", "[",
RowBox[{
RowBox[{"ang", "+",
FractionBox["1", "2"]}], ",",
RowBox[{"k", " ", "r"}]}], "]"}]}], ",", "r"}],
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfOut", "[",
RowBox[{"q_", ",", "ang_"}], "]"}], ":=",
RowBox[{"Simplify", "[",
RowBox[{
RowBox[{"dfOutR", "[",
RowBox[{"q", ",", "r", ",", "ang"}], "]"}], "/.",
RowBox[{"r", "->", "range"}]}], "]"}]}]}], "Input",
CellChangeTimes->{{3.876220044319666*^9, 3.87622004450217*^9}, {
3.8765038952022886`*^9, 3.8765039216405926`*^9}, 3.876505041667235*^9,
3.8765050912134867`*^9, {3.876505234788604*^9, 3.876505237898678*^9}, {
3.8765054584182944`*^9, 3.876505476330624*^9}, {3.876505721940834*^9,
3.8765057522605066`*^9}, 3.8765058613666496`*^9, 3.8769000872264614`*^9,
3.876912136986064*^9, 3.8771829534368153`*^9, {3.8771829917988296`*^9,
3.8771830129482393`*^9}, {3.8782869289935923`*^9, 3.878286953801031*^9}, {
3.87828729637827*^9, 3.878287488606941*^9}, {3.878287533404892*^9,
3.8782876443143806`*^9}, {3.878288596072308*^9, 3.8782886055224047`*^9}, {
3.878288683259207*^9, 3.8782887288588037`*^9}, {3.878288791621035*^9,
3.8782888301901093`*^9}},
CellLabel->"In[22]:=",ExpressionUUID->"2fc4ef7c-d275-441b-9d3d-7d7239f74130"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
FractionBox[
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "range",
",", "0"}], "]"}],
RowBox[{"dfIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "0"}],
"]"}]], "-",
FractionBox[
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "range", ",",
"0"}], "]"}],
RowBox[{"dfOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "0"}], "]"}]]}],
",",
RowBox[{"{",
RowBox[{"U", ",", "0", ",", "50"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQB2IQ/WOD21zfh28c9y2XXAiiNSrOrgbRHQxZG0D0fAnd
LSDaITlyN4iOCF97GUSXHrW/DqI7v+w8dANIK6XuB9Myj+adANGTuhecBNEv
7qZI3QTSJmKZ0iDascziy4xHbxy/vCv+CqJncd+XnAWkpfeXSoPoDbq/voDo
Kd4830E01zHZfcqP3zjmMfrtB9Hmy/pV7J++cTyxLFcdRB/fmdcPovv4ZoPp
dUnH5oPoPJGPS0C00frAlSC6JDgMTLMZmG0E0VIrKjeB6ICLG/aC6AWLZx4A
0aGOq06C6D1C26+AaLN22YMbnr9xPLR49REQvfVP7wkQPW/L9lMg+lH0lIsg
Ou25wmUQ/SJDj2UTkGboNwXTYsrMXCDaRKYDTAMAeD3S4g==
"],
CellLabel->"In[30]:=",ExpressionUUID->"c2ad0be7-22ee-4300-8ad8-45a6e113c1b0"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[{{1.020408163265306*^-6, 4.241741718763919}, {
0.0002625153897959781, 4.241762892770343}}],
LineBox[{{0.032150270491836795`, 4.244349502137258}, {
0.061340522887435564`, 4.246725267883429}, {0.12268002536670786`,
4.251742615733744}, {0.24535903032525244`, 4.261880121628202}, {
0.49071704024234164`, 4.282576552952344}, {0.98143306007652,
4.325740981044393}, {1.7571434715124448`, 4.399245471999349}}],
LineBox[{{1.7890312266144854`, 4.402416451480064}, {2.527954346461434,
4.479534064972313}}],
LineBox[{{2.5598421015634747`, 4.483027265533171}, {4.012882440943803,
4.659045426871684}, {4.6008376977796654`, 4.741106043528902}}],
LineBox[{{4.632725452881706, 4.7457631820549615`}, {5.073489574391078,
4.812494616133865}}], LineBox[CompressedData["
1:eJwVk2s41IkChycx2VKJMTPGDHOf//znIvW0tSG/ckluW2pbpFi5zMYiodyO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"]], LineBox[CompressedData["
1:eJwVlns0VIsfxeeMPIrcpITQ0MP0kseZF8P5kseJHrgllfoVkSipkGcNSR5z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"]]},
Annotation[#, "Charting`Private`Tag$5733#1"]& ], {}}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 50}, {-8.900837493810066, 14.534402649413224`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.8762203703057337`*^9, 3.876220379980977*^9},
3.8765050131761856`*^9, 3.8765050505154057`*^9, 3.876505166733531*^9,
3.876505253203033*^9, 3.8765054682425213`*^9, {3.876505736001601*^9,
3.876505760106862*^9}, 3.8765058280963507`*^9, 3.876505866424039*^9,
3.8768987397838306`*^9, 3.8769000954185047`*^9, 3.8769010854667377`*^9,
3.8769028434196196`*^9, 3.8769121476361966`*^9, {3.8771829651953516`*^9,
3.877182971722556*^9}, 3.877183021959716*^9, {3.8782890252122993`*^9,
3.878289063704639*^9}, 3.878292725117619*^9, 3.879568890539933*^9,
3.8795689360093517`*^9, {3.87956897106921*^9, 3.879568983881357*^9}, {
3.879569032952899*^9, 3.8795690542179728`*^9}, {3.879571487079197*^9,
3.8795714913553343`*^9}, {3.879571532521268*^9, 3.8795715419674997`*^9}},
CellLabel->"Out[30]=",ExpressionUUID->"8e664e95-9bfc-453e-8197-e74a2f6a249c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{
RowBox[{
FractionBox[
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "range",
",", "0"}], "]"}],
RowBox[{"dfIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "0"}],
"]"}]], "-",
FractionBox[
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "range", ",",
"0"}], "]"}],
RowBox[{"dfOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "0"}],
"]"}]]}], "\[Equal]", "0"}], ",",
RowBox[{"{",
RowBox[{"U", ",", "30"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.876220514856612*^9, 3.8762205364843173`*^9}, {
3.87641380286448*^9, 3.876413813776764*^9}, 3.8765050174731894`*^9,
3.876505834830249*^9, {3.8768987485820503`*^9, 3.876898765145231*^9}, {
3.876901089974984*^9, 3.876901108003067*^9}, {3.8769028508117027`*^9,
3.876902864692957*^9}, {3.876912179610631*^9, 3.876912183976046*^9}, {
3.8771829776133184`*^9, 3.8771829780132623`*^9}, {3.8782890831225157`*^9,
3.878289091001782*^9}, {3.878289430122672*^9, 3.878289446396935*^9},
3.87957154916846*^9},
CellLabel->"In[31]:=",ExpressionUUID->"22f1491b-05f8-4461-9d8a-7023940b0eba"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"U", "\[Rule]", "26.327091087132676`"}], "}"}]], "Output",
CellChangeTimes->{
3.8762205374997587`*^9, 3.8764138310515523`*^9, 3.8765050188080196`*^9,
3.8765050618099136`*^9, 3.8765058364421587`*^9, 3.8765058704783134`*^9, {
3.876898758684599*^9, 3.8768987659384336`*^9}, 3.876900107897892*^9, {
3.876901091009881*^9, 3.8769011091519423`*^9}, {3.8769028519905815`*^9,
3.8769028659018292`*^9}, 3.8769121525485616`*^9, 3.876912185418889*^9, {
3.877182978736745*^9, 3.877183025647654*^9}, 3.878289092820195*^9,
3.878292505137838*^9, 3.8795690844906807`*^9, 3.879570642631118*^9,
3.879571550250393*^9},
CellLabel->"Out[31]=",ExpressionUUID->"61cb5a0a-93c0-4b86-b0da-87abf1412e6c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "26.327091087132676"}], ")"}]}]],
"p"], ",", "range", ",", "0"}], "]"}], "-",
RowBox[{"coeff", " ", "*",
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "range", ",",
"0"}], "]"}]}]}], "\[Equal]", "0"}], ",",
RowBox[{"{",
RowBox[{"coeff", ",", "1"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.878289683612082*^9, 3.8782897289455433`*^9}, {
3.878289801822311*^9, 3.87828982476785*^9}, 3.879569118948894*^9, {
3.879571556146941*^9, 3.87957155754856*^9}},
CellLabel->"In[32]:=",ExpressionUUID->"444da03a-39cf-4c3d-bb1b-9d322299f630"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"coeff", "\[Rule]", "2.5426173021971623`"}], "}"}]], "Output",
CellChangeTimes->{3.879570442808729*^9, 3.87957064413636*^9,
3.8795715629434137`*^9},
CellLabel->"Out[32]=",ExpressionUUID->"e3c27c07-1095-4202-bee1-1be442ec0d13"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox["A", "2"], " ",
RowBox[{"Integrate", "[",
RowBox[{
SuperscriptBox[
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "26.327091087132676"}], ")"}]}]],
"p"], ",", "r", ",", "0"}], "]"}], "2"], ",", " ",
RowBox[{"{",
RowBox[{"r", ",", "0", ",", "range"}], "}"}]}], "]"}]}], "+",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"2.5426173021971623", "*", "A"}], ")"}], "2"], " ",
RowBox[{"Integrate", "[",
RowBox[{
SuperscriptBox[
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "r", ",",
"0"}], "]"}], "2"], ",", " ",
RowBox[{"{",
RowBox[{"r", ",", "range", ",", "Infinity"}], "}"}]}], "]"}]}]}],
"\[Equal]", "1"}], ",", " ",
RowBox[{"{",
RowBox[{"A", ",", "0.2"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.878289888090169*^9, 3.87828992516182*^9},
3.878290001694314*^9, {3.878290037135365*^9, 3.878290114624291*^9}, {
3.878290154622223*^9, 3.878290162835559*^9}, {3.8782925361300364`*^9,
3.87829257237002*^9}, 3.879569178546549*^9, {3.879569241919948*^9,
3.879569245267922*^9}, {3.879569277686201*^9, 3.879569279300724*^9},
3.879569335601615*^9, {3.879570630856184*^9, 3.879570632038727*^9}, {
3.879571567743319*^9, 3.879571576536313*^9}},
CellLabel->"In[33]:=",ExpressionUUID->"7835cc6b-0406-456f-a3a3-ab6f89b509c7"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"A", "\[Rule]", "0.6401531831830206`"}], "}"}]], "Output",
CellChangeTimes->{
3.879569148123713*^9, 3.8795692505602217`*^9, 3.879569281919847*^9, {
3.879570637910142*^9, 3.879570646893675*^9}, 3.879571580819501*^9},
CellLabel->"Out[33]=",ExpressionUUID->"813d67ce-1939-4667-91e9-5b84699af322"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Piecewise", "[",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"0.6401531831830206",
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "26.327091087132676"}], ")"}]}]],
"p"], ",", "r", ",", "0"}], "]"}]}], ",",
RowBox[{"r", "<", "range"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"0.6401531831830206", " ", "2.5426173021971623", " ",
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "r", ",",
"0"}], "]"}]}], ",",
RowBox[{"r", ">", "range"}]}], "}"}]}], "}"}], "]"}], ",",
RowBox[{"{",
RowBox[{"r", ",", "0", ",", "10"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.8771831750308676`*^9, 3.877183283833062*^9}, {
3.879570725415313*^9, 3.87957082556467*^9}, {3.879571586117661*^9,
3.87957160585564*^9}},
CellLabel->"In[34]:=",ExpressionUUID->"fc251146-842e-4797-bd33-46971b36a427"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[CompressedData["
1:eJwVl3k4VG0fxwdRIXtIWacoZa0eicfvRqWyj6VCKS12UumxRaSo3ilZYsaD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"]]},
Annotation[#, "Charting`Private`Tag$7735#1"]& ]}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 10}, {0., 0.6401531715334164}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.879570843622718*^9, 3.879570853774201*^9},
3.879571608345409*^9},
CellLabel->"Out[34]=",ExpressionUUID->"ebb64a6a-a391-43b6-b5d3-6eaf854e33b0"]
}, Open ]]
},
WindowSize->{1389.75, 768.75},
WindowMargins->{{0, Automatic}, {0, Automatic}},
FrontEndVersion->"13.0 for Linux x86 (64-bit) (December 2, 2021)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"ef468bfc-a077-454d-b697-d1f9ba5b95f7"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 1864, 46, 154, "Input",ExpressionUUID->"ad6df89e-d3d8-490c-ae91-dac6d80d1b5a"],
Cell[2425, 68, 2802, 74, 179, "Input",ExpressionUUID->"2fc4ef7c-d275-441b-9d3d-7d7239f74130"],
Cell[CellGroupData[{
Cell[5252, 146, 1588, 47, 75, "Input",ExpressionUUID->"c2ad0be7-22ee-4300-8ad8-45a6e113c1b0"],
Cell[6843, 195, 9076, 164, 235, "Output",ExpressionUUID->"8e664e95-9bfc-453e-8197-e74a2f6a249c"]
}, Open ]],
Cell[CellGroupData[{
Cell[15956, 364, 1731, 47, 75, "Input",ExpressionUUID->"22f1491b-05f8-4461-9d8a-7023940b0eba"],
Cell[17690, 413, 743, 12, 33, "Output",ExpressionUUID->"61cb5a0a-93c0-4b86-b0da-87abf1412e6c"]
}, Open ]],
Cell[CellGroupData[{
Cell[18470, 430, 955, 26, 53, "Input",ExpressionUUID->"444da03a-39cf-4c3d-bb1b-9d322299f630"],
Cell[19428, 458, 270, 5, 33, "Output",ExpressionUUID->"e3c27c07-1095-4202-bee1-1be442ec0d13"]
}, Open ]],
Cell[CellGroupData[{
Cell[19735, 468, 1805, 46, 111, "Input",ExpressionUUID->"7835cc6b-0406-456f-a3a3-ab6f89b509c7"],
Cell[21543, 516, 339, 6, 33, "Output",ExpressionUUID->"813d67ce-1939-4667-91e9-5b84699af322"]
}, Open ]],
Cell[CellGroupData[{
Cell[21919, 527, 1267, 34, 101, "Input",ExpressionUUID->"fc251146-842e-4797-bd33-46971b36a427"],
Cell[23189, 563, 6732, 130, 237, "Output",ExpressionUUID->"ebb64a6a-a391-43b6-b5d3-6eaf854e33b0"]
}, Open ]]
}
]
*)
bounded8He.nb 0 → 100644
View file @ 1d727bf3
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 12.0' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 36835, 818]
NotebookOptionsPosition[ 35260, 783]
NotebookOutlinePosition[ 35658, 799]
CellTagsIndexPosition[ 35615, 796]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"Mp", "=", "938.272"}], ";"}], " ",
RowBox[{"(*",
RowBox[{
RowBox[{"mass", " ", "of", " ", "proton"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"Mn", "=", "939.565"}], ";"}],
RowBox[{"(*",
RowBox[{
RowBox[{"mass", " ", "of", " ", "neutron"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"Ebind", "=", "3.925"}], " ", ";"}],
RowBox[{"(*",
RowBox[{
RowBox[{"binding", " ", "energy", " ",
SuperscriptBox[
RowBox[{"of", " "}], "8"], "He"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"Esep", "=", "24.81432"}], ";"}], " ",
RowBox[{"(*",
RowBox[{
RowBox[{"1", "p", " ", "separation", " ", "energy", " ",
SuperscriptBox[
RowBox[{"for", " "}], "8"], "He"}], ",", " ", "MeV"}],
"*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"p", "=", "197.327"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"mass", "=", "821"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"range", "=", "2.5"}], ";"}]}], "Input",
CellChangeTimes->{{3.8762198970264225`*^9, 3.8762199052580624`*^9}, {
3.8771827496672716`*^9, 3.8771827824193807`*^9}, {3.878286651057734*^9,
3.8782866641181517`*^9}, 3.87828681545533*^9, {3.878287607680107*^9,
3.8782876162121983`*^9}, {3.878288500983369*^9, 3.878288503593914*^9}, {
3.878288562531385*^9, 3.878288589887306*^9}, {3.8782886404025097`*^9,
3.8782886526954603`*^9}, {3.879567012355792*^9, 3.879567019384864*^9}, {
3.879568558358831*^9, 3.879568558418344*^9}, {3.87956872817546*^9,
3.879568728576707*^9}},
CellLabel->"In[1]:=",ExpressionUUID->"ad6df89e-d3d8-490c-ae91-dac6d80d1b5a"],
Cell[BoxData[{
RowBox[{
RowBox[{"fIn", "[",
RowBox[{"q_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{"q", " ", "r", " ",
RowBox[{"SphericalBesselJ", "[",
RowBox[{"ang", ",",
RowBox[{"q", " ", "r"}]}], "]"}]}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"fOut", "[",
RowBox[{"k_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "Pi"], "k", " ", "r"}], ")"}],
FractionBox["1", "2"]], " ",
RowBox[{"BesselK", "[",
RowBox[{
RowBox[{"ang", "+",
FractionBox["1", "2"]}], ",",
RowBox[{"k", " ", "r"}]}], "]"}]}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfInR", "[",
RowBox[{"q_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{"D", "[",
RowBox[{
RowBox[{"fIn", "[",
RowBox[{"q", ",", "r", ",", "ang"}], "]"}], ",", "r"}],
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfIn", "[",
RowBox[{"q_", ",", "ang_"}], "]"}], ":=",
RowBox[{"Simplify", "[",
RowBox[{
RowBox[{"dfInR", "[",
RowBox[{"q", ",", "r", ",", "ang"}], "]"}], "/.",
RowBox[{"r", "->", "range"}]}], "]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfOutR", "[",
RowBox[{"k_", ",", "r_", ",", "ang_"}], "]"}], ":=",
RowBox[{"D", "[",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
FractionBox["2", "Pi"], "k", " ", "r"}], ")"}],
FractionBox["1", "2"]], " ",
RowBox[{"BesselK", "[",
RowBox[{
RowBox[{"ang", "+",
FractionBox["1", "2"]}], ",",
RowBox[{"k", " ", "r"}]}], "]"}]}], ",", "r"}],
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"dfOut", "[",
RowBox[{"q_", ",", "ang_"}], "]"}], ":=",
RowBox[{"Simplify", "[",
RowBox[{
RowBox[{"dfOutR", "[",
RowBox[{"q", ",", "r", ",", "ang"}], "]"}], "/.",
RowBox[{"r", "->", "range"}]}], "]"}]}]}], "Input",
CellChangeTimes->{{3.876220044319666*^9, 3.87622004450217*^9}, {
3.8765038952022886`*^9, 3.8765039216405926`*^9}, 3.876505041667235*^9,
3.8765050912134867`*^9, {3.876505234788604*^9, 3.876505237898678*^9}, {
3.8765054584182944`*^9, 3.876505476330624*^9}, {3.876505721940834*^9,
3.8765057522605066`*^9}, 3.8765058613666496`*^9, 3.8769000872264614`*^9,
3.876912136986064*^9, 3.8771829534368153`*^9, {3.8771829917988296`*^9,
3.8771830129482393`*^9}, {3.8782869289935923`*^9, 3.878286953801031*^9}, {
3.87828729637827*^9, 3.878287488606941*^9}, {3.878287533404892*^9,
3.8782876443143806`*^9}, {3.878288596072308*^9, 3.8782886055224047`*^9}, {
3.878288683259207*^9, 3.8782887288588037`*^9}, {3.878288791621035*^9,
3.8782888301901093`*^9}},
CellLabel->"In[8]:=",ExpressionUUID->"2fc4ef7c-d275-441b-9d3d-7d7239f74130"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot", "[",
RowBox[{
RowBox[{
FractionBox[
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "range",
",", "0"}], "]"}],
RowBox[{"dfIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "0"}],
"]"}]], "-",
FractionBox[
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "range", ",",
"0"}], "]"}],
RowBox[{"dfOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "0"}], "]"}]]}],
",",
RowBox[{"{",
RowBox[{"U", ",", "0", ",", "50"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQBWIQ/WOD21zfh28c9y2XXAiiNSrOrgbRHQxZG0D0fAnd
LSDaITlyN4iOCF97GUSXHrW/DqI7v+w8dANIK6XuB9Myj+adANGTuhecBNEv
7qZI3QTSJmKZ0iDascziy4xHbxy/vCv+CqJncd+XnAWkpfeXSoPoDbq/voDo
Kd4830E01zHZfcqP3zjmMfrtB9Hmy/pV7J++cTyxLFcdRB/fmdcPovv4ZoPp
dUnH5oPoPJGPS0C00frAlSC6JDgMTLMZmG0E0VIrKjeB6ICLG/aC6AWLZx4A
0aGOq06C6D1C26+AaLN22YMbnr9xPLR49REQvfVP7wkQPW/L9lMg+lH0lIsg
Ou25wmUQDQD6hcRW
"],
CellLabel->"In[17]:=",ExpressionUUID->"c2ad0be7-22ee-4300-8ad8-45a6e113c1b0"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[{{1.020408163265306*^-6, 1.9434682115973003`}, {
0.01533589602798134, 1.943748439521205}, {0.030670771647799414`,
1.9440288987650578`}, {0.061340522887435564`, 1.9445905124319236`}, {
0.12268002536670786`, 1.9457165290480463`}, {0.24535903032525244`,
1.9479797883972108`}, {0.49071704024234164`, 1.9525517709481117`}, {
0.98143306007652, 1.9618821897394834`}, {2.0454178542729324`,
1.9830133301383182`}, {2.958029656364833, 2.002196235245252}}],
LineBox[{{2.9899174114668736`, 2.002885289545698}, {3.0500121108208624`,
2.004187416350027}}],
LineBox[{{3.081899865922903, 2.004880251719722}, {4.298771468715699,
2.032343111696474}}],
LineBox[{{4.330659223817739, 2.033090717404738}, {5.230370406745517,
2.054815538265406}}],
LineBox[{{5.262258161847558, 2.0556086163065914`}, {7.124041306441138,
2.104932858194773}, {8.173138546173233, 2.1356335947117246`}, {
9.151727315943587, 2.1664489328692977`}, {10.112311928229225`,
2.1989922535225253`}}],
LineBox[{{10.144199683331266`, 2.2001147155868095`}, {
10.439885863942887`, 2.2106589009365796`}}],
LineBox[{{10.471773619044928`, 2.2118108967365178`}, {
11.793784171133385`, 2.2623054642685347`}}],
LineBox[{{11.825671926235426`, 2.263593437218421}, {13.228344634183118`,
2.3239364957656083`}, {14.211533911287631`, 2.371048144684206}, {
15.2772759429202, 2.427408695591982}, {15.997201695816472`,
2.469068213762979}}],
LineBox[{{16.029089450918512`, 2.47098698944541}, {17.299275412626642`,
2.553095173962763}, {18.35757366702705, 2.631220222064354}, {
18.575031439058826`, 2.648544318091664}}],
LineBox[{{18.606919194160866`, 2.6511241773082332`}, {
20.415705990432443`, 2.8164527768403436`}, {20.583264093501196`,
2.83393478503636}}],
LineBox[{{20.615151848603237`, 2.8373095136538247`}, {21.76163442231778,
2.9698829793498738`}}],
LineBox[{{21.79352217741982, 2.9739133900641055`}, {22.463514267959305`,
3.0635652845752426`}, {22.476388432909584`, 3.065386539629232}}],
LineBox[{{22.508276188011624`, 3.0699145486974073`}, {22.57976882002402,
3.0801551872074895`}, {22.712631165240843`, 3.0995193790226563`}, {
22.978355855674483`, 3.1396008842680088`}, {23.509805236541766`,
3.225647302026706}, {23.525311334850716`, 3.2282846262936955`}, {
23.540817433159667`, 3.230929516488219}, {23.571829629777568`,
3.236242127181056}, {23.63385402301337, 3.2469596083432255`}, {
23.745330149653963`, 3.2665373628853254`}}], LineBox[CompressedData["
1:eJwVzns4lIkCx/GZ1kYxNzNjJoNhLBMHW6vtmMv7vr+1o7KqTRutGemm+w1d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"]], LineBox[CompressedData["
1:eJwVjnk0VXsfxpGxzENHx/BKabqFyqs30v7ae59jkySHUo4KyVAyXSVTiuhe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"]],
LineBox[{{23.777217904756004`, 3.272213571286108}, {24.500912064223318`,
3.4109378348607606`}}],
LineBox[{{24.61034969639067, 3.4337160525576738`}, {24.730449091526378`,
3.4593125448441233`}}],
LineBox[{{24.53279981932536, 3.417522268161458}, {24.563001917687984`,
3.423798359927806}, {24.57846194128863, 3.4270260774198293`}}]},
Annotation[#, "Charting`Private`Tag$5933#1"]& ], {}}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 50}, {-7.026255643989277, 9.975712471055067}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.8762203703057337`*^9, 3.876220379980977*^9},
3.8765050131761856`*^9, 3.8765050505154057`*^9, 3.876505166733531*^9,
3.876505253203033*^9, 3.8765054682425213`*^9, {3.876505736001601*^9,
3.876505760106862*^9}, 3.8765058280963507`*^9, 3.876505866424039*^9,
3.8768987397838306`*^9, 3.8769000954185047`*^9, 3.8769010854667377`*^9,
3.8769028434196196`*^9, 3.8769121476361966`*^9, {3.8771829651953516`*^9,
3.877182971722556*^9}, 3.877183021959716*^9, {3.8782890252122993`*^9,
3.878289063704639*^9}, 3.878292725117619*^9, 3.879568890539933*^9,
3.8795689360093517`*^9, {3.87956897106921*^9, 3.879568983881357*^9}, {
3.879569032952899*^9, 3.8795690542179728`*^9}},
CellLabel->"Out[17]=",ExpressionUUID->"7ddecd95-d077-4b74-bbf8-e6285ce1c409"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{
RowBox[{
FractionBox[
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "range",
",", "0"}], "]"}],
RowBox[{"dfIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "U"}], ")"}]}]], "p"], ",", "0"}],
"]"}]], "-",
FractionBox[
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "range", ",",
"0"}], "]"}],
RowBox[{"dfOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "0"}],
"]"}]]}], "\[Equal]", "0"}], ",",
RowBox[{"{",
RowBox[{"U", ",", "50"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.876220514856612*^9, 3.8762205364843173`*^9}, {
3.87641380286448*^9, 3.876413813776764*^9}, 3.8765050174731894`*^9,
3.876505834830249*^9, {3.8768987485820503`*^9, 3.876898765145231*^9}, {
3.876901089974984*^9, 3.876901108003067*^9}, {3.8769028508117027`*^9,
3.876902864692957*^9}, {3.876912179610631*^9, 3.876912183976046*^9}, {
3.8771829776133184`*^9, 3.8771829780132623`*^9}, {3.8782890831225157`*^9,
3.878289091001782*^9}, {3.878289430122672*^9, 3.878289446396935*^9}},
CellLabel->"In[38]:=",ExpressionUUID->"22f1491b-05f8-4461-9d8a-7023940b0eba"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"U", "\[Rule]", "46.48728734369617`"}], "}"}]], "Output",
CellChangeTimes->{
3.8762205374997587`*^9, 3.8764138310515523`*^9, 3.8765050188080196`*^9,
3.8765050618099136`*^9, 3.8765058364421587`*^9, 3.8765058704783134`*^9, {
3.876898758684599*^9, 3.8768987659384336`*^9}, 3.876900107897892*^9, {
3.876901091009881*^9, 3.8769011091519423`*^9}, {3.8769028519905815`*^9,
3.8769028659018292`*^9}, 3.8769121525485616`*^9, 3.876912185418889*^9, {
3.877182978736745*^9, 3.877183025647654*^9}, 3.878289092820195*^9,
3.878292505137838*^9, 3.8795690844906807`*^9, 3.879570642631118*^9},
CellLabel->"Out[38]=",ExpressionUUID->"5e4e737a-a194-482f-a372-1fbe2ace2da3"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "46.48728734369617`"}], ")"}]}]],
"p"], ",", "range", ",", "0"}], "]"}], "-",
RowBox[{"coeff", " ", "*",
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "range", ",",
"0"}], "]"}]}]}], "\[Equal]", "0"}], ",",
RowBox[{"{",
RowBox[{"coeff", ",", "1"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.878289683612082*^9, 3.8782897289455433`*^9}, {
3.878289801822311*^9, 3.87828982476785*^9}, 3.879569118948894*^9},
CellLabel->"In[39]:=",ExpressionUUID->"444da03a-39cf-4c3d-bb1b-9d322299f630"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"coeff", "\[Rule]", "8.80922839269386`"}], "}"}]], "Output",
CellChangeTimes->{3.879570442808729*^9, 3.87957064413636*^9},
CellLabel->"Out[39]=",ExpressionUUID->"3eb7226b-93be-43d1-8fd7-dced997b260b"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox["A", "2"], " ",
RowBox[{"Integrate", "[",
RowBox[{
SuperscriptBox[
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "46.48728734369617"}], ")"}]}]],
"p"], ",", "r", ",", "0"}], "]"}], "2"], ",", " ",
RowBox[{"{",
RowBox[{"r", ",", "0", ",", "range"}], "}"}]}], "]"}]}], "+",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"8.80922839269386", "*", "A"}], ")"}], "2"], " ",
RowBox[{"Integrate", "[",
RowBox[{
SuperscriptBox[
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "r", ",",
"0"}], "]"}], "2"], ",", " ",
RowBox[{"{",
RowBox[{"r", ",", "range", ",", "Infinity"}], "}"}]}], "]"}]}]}],
"\[Equal]", "1"}], ",", " ",
RowBox[{"{",
RowBox[{"A", ",", "0.2"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.878289888090169*^9, 3.87828992516182*^9},
3.878290001694314*^9, {3.878290037135365*^9, 3.878290114624291*^9}, {
3.878290154622223*^9, 3.878290162835559*^9}, {3.8782925361300364`*^9,
3.87829257237002*^9}, 3.879569178546549*^9, {3.879569241919948*^9,
3.879569245267922*^9}, {3.879569277686201*^9, 3.879569279300724*^9},
3.879569335601615*^9, {3.879570630856184*^9, 3.879570632038727*^9}},
CellLabel->"In[40]:=",ExpressionUUID->"7835cc6b-0406-456f-a3a3-ab6f89b509c7"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"A", "\[Rule]", "0.7583626465084375`"}], "}"}]], "Output",
CellChangeTimes->{
3.879569148123713*^9, 3.8795692505602217`*^9, 3.879569281919847*^9, {
3.879570637910142*^9, 3.879570646893675*^9}},
CellLabel->"Out[40]=",ExpressionUUID->"04ad714b-04df-47df-ab06-0b100aeae348"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"Piecewise", "[",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"0.7583626465084375",
RowBox[{"fIn", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "Esep"}], "+", "46.48728734369617"}], ")"}]}]],
"p"], ",", "r", ",", "0"}], "]"}]}], ",",
RowBox[{"r", "<", "range"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"0.7583626465084375", " ", "8.80922839269386", " ",
RowBox[{"fOut", "[",
RowBox[{
FractionBox[
SqrtBox[
RowBox[{"2", " ", "mass", " ", "Esep"}]], "p"], ",", "r", ",",
"0"}], "]"}]}], ",",
RowBox[{"r", ">", "range"}]}], "}"}]}], "}"}], "]"}], ",",
RowBox[{"{",
RowBox[{"r", ",", "0", ",", "10"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.8771831750308676`*^9, 3.877183283833062*^9}, {
3.879570725415313*^9, 3.87957082556467*^9}},
CellLabel->"In[49]:=",ExpressionUUID->"fc251146-842e-4797-bd33-46971b36a427"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[CompressedData["
1:eJwV13c8ld8fAHA72XuP616bzGz1OdkyspPsrDKSFhF9zVRmipIZJRUVFdkk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"]]},
Annotation[#, "Charting`Private`Tag$14210#1"]& ]}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 10}, {0., 0.7583624694778662}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.879570843622718*^9, 3.879570853774201*^9}},
CellLabel->"Out[49]=",ExpressionUUID->"a2b7c079-b84d-4e78-b408-da71e768420f"]
}, Open ]]
},
WindowSize->{1389.75, 768.75},
WindowMargins->{{0, Automatic}, {0, Automatic}},
FrontEndVersion->"13.0 for Linux x86 (64-bit) (December 2, 2021)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"64e28415-be8d-47eb-8c2a-84b3776a3911"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 1791, 47, 154, "Input",ExpressionUUID->"ad6df89e-d3d8-490c-ae91-dac6d80d1b5a"],
Cell[2352, 69, 2801, 74, 179, "Input",ExpressionUUID->"2fc4ef7c-d275-441b-9d3d-7d7239f74130"],
Cell[CellGroupData[{
Cell[5178, 147, 1556, 47, 75, "Input",ExpressionUUID->"c2ad0be7-22ee-4300-8ad8-45a6e113c1b0"],
Cell[6737, 196, 10268, 183, 235, "Output",ExpressionUUID->"7ddecd95-d077-4b74-bbf8-e6285ce1c409"]
}, Open ]],
Cell[CellGroupData[{
Cell[17042, 384, 1706, 46, 75, "Input",ExpressionUUID->"22f1491b-05f8-4461-9d8a-7023940b0eba"],
Cell[18751, 432, 716, 11, 33, "Output",ExpressionUUID->"5e4e737a-a194-482f-a372-1fbe2ace2da3"]
}, Open ]],
Cell[CellGroupData[{
Cell[19504, 448, 906, 25, 54, "Input",ExpressionUUID->"444da03a-39cf-4c3d-bb1b-9d322299f630"],
Cell[20413, 475, 241, 4, 33, "Output",ExpressionUUID->"3eb7226b-93be-43d1-8fd7-dced997b260b"]
}, Open ]],
Cell[CellGroupData[{
Cell[20691, 484, 1752, 45, 82, "Input",ExpressionUUID->"7835cc6b-0406-456f-a3a3-ab6f89b509c7"],
Cell[22446, 531, 317, 6, 33, "Output",ExpressionUUID->"04ad714b-04df-47df-ab06-0b100aeae348"]
}, Open ]],
Cell[CellGroupData[{
Cell[22800, 542, 1216, 33, 101, "Input",ExpressionUUID->"fc251146-842e-4797-bd33-46971b36a427"],
Cell[24019, 577, 11225, 203, 242, "Output",ExpressionUUID->"a2b7c079-b84d-4e78-b408-da71e768420f"]
}, Open ]]
}
]
*)
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment