Gabriele Cosmo
22 lines
1.2 KiB
Plaintext
22 lines
1.2 KiB
Plaintext
COMMENTS ON IONISATION AND KNOCK-ON ELECTRONS WITH
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CORRECTION
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1) Let us introduce Tbound (? 100 KeV); below Tbound the correction to the
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differential cross section is negligibly small.
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2) There also exists Tmax (= function (E)) defined by kinematics. In this case, the
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following possibilities appear:
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3) Tmax < Tbound; usual BBS energy loss (and Bhabha cross section – for Tcut <
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Tmax, with correction or without it, it does not play any substantial role) may be
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used, as it was earlier. But it takes place only for rather low muon energies.
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4) Tmax > Tbound, with three possibilities for Tcut:
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5) Tcut < Tbound: restricted BBS energy loss (< Tcut), numerical calculation of the total
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cross section with accurate formula and sampling with accurate formula are needed.
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6) Tbound < Tcut < Tmax: for energy loss it is necessary to take “usual” restricted BBS
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(< Tbound) plus “twice restricted” numerically integrated energy loss for the interval
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(Tbound,Tcut), total cross section and sampling being similar to preceding point.
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7) Tcut > Tmax: restricted BBS (< Tbound) plus twice restricted numerical (Tbound,
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Tmax); discrete interactions are not simulated.
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RPK 10.05.2000
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