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| 43 | HREF="node93.html">Sihver Formula</A> |
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| 54 | <H1><A NAME="SECTION05300000000000000000"> |
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| 55 | Total Reaction Cross Section in Nucleus-nucleus Reactions</A> |
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| 56 | </H1> |
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| 57 | |
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| 58 | The transportation of heavy ions in matter is a subject of much interest in |
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| 59 | several fields of science. An important input for simulations of this process |
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| 60 | is the total reaction cross section, which is defined as the total |
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| 61 | (<!-- MATH |
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| 62 | $\sigma_{T}$ |
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| 63 | --> |
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| 65 | WIDTH="26" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" |
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| 66 | SRC="img2601.gif" |
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| 67 | ALT="$ \sigma_{T}$">) minus the elastic (<!-- MATH |
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| 68 | $\sigma_{el}$ |
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| 69 | --> |
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| 70 | <IMG |
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| 71 | WIDTH="27" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" |
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| 72 | SRC="img2602.gif" |
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| 73 | ALT="$ \sigma_{el}$">) cross section for |
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| 74 | nucleus-nucleus reactions: |
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| 75 | <BR> |
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| 76 | <DIV ALIGN="CENTER"> |
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| 77 | <!-- MATH |
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| 78 | \begin{eqnarray*} |
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| 79 | \sigma_{R} = \sigma_{T} - \sigma_{el} . |
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| 80 | \end{eqnarray*} |
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| 81 | --> |
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| 84 | WIDTH="123" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" |
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| 85 | SRC="img2603.gif" |
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| 86 | ALT="$\displaystyle \sigma_{R} = \sigma_{T} - \sigma_{el} .$"></TD> |
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| 91 | </TABLE></DIV> |
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| 92 | <BR CLEAR="ALL"> |
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| 93 | |
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| 94 | The total reaction cross section has been studied both theoretically and |
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| 95 | experimentally and several empirical parameterizations of it have been |
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| 96 | developed. In Geant4 the total reaction cross sections are calculated using |
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| 97 | four such parameterizations: the Sihver[#!nnc.Sihver93!#], |
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| 98 | Kox[#!nnc.Kox87!#], Shen[#!nnc.Shen89!#] and Tripathi[#!nnc.Tripathi97!#] |
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| 99 | formulae. Each of these is discussed in order below. |
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| 100 | |
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| 101 | <P> |
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| 102 | <BR><HR> |
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| 103 | <!--Table of Child-Links--> |
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| 104 | <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> |
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| 105 | |
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| 106 | <UL> |
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| 107 | <LI><A NAME="tex2html2636" |
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| 108 | HREF="node93.html">Sihver Formula</A> |
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| 109 | <LI><A NAME="tex2html2637" |
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| 110 | HREF="node94.html">Kox and Shen Formulae</A> |
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| 111 | <LI><A NAME="tex2html2638" |
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| 112 | HREF="node95.html">Tripathi formula</A> |
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| 113 | <LI><A NAME="tex2html2639" |
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| 114 | HREF="node96.html">Representative Cross Sections</A> |
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| 115 | <LI><A NAME="tex2html2640" |
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| 116 | HREF="node97.html">Tripathi Formula for "light" Systems</A> |
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| 118 | HREF="node98.html">Status of this document</A> |
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