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| 42 | <B> Next:</B> <A NAME="tex2html2635"
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| 43 | HREF="node93.html">Sihver Formula</A>
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| 45 | HREF="node82.html">Hadronic Interactions</A>
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| 53 |
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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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| 64 | <IMG
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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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| 87 | <TD> </TD>
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| 88 | <TD> </TD>
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| 89 | <TD WIDTH=10 ALIGN="RIGHT">
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| 90 | </TD></TR>
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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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| 117 | <LI><A NAME="tex2html2641"
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| 118 | HREF="node98.html">Status of this document</A>
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| 120 | HREF="node99.html">Bibliography</A>
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