Import Geant4 5.1.0 source tree
This commit is contained in:
@@ -1,54 +0,0 @@
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No.events=1000000
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X=1000 g/cm2 Fe
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T=100 GeV T=10000 GeV
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bc b k n p b k n p
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-.950 1015.9 155842.0 .0 80340.4 1018.8 165585.0 .0 281133.8
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-.850 1015.2 123833.1 .0 75005.4 1018.8 131898.4 .0 284400.3
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-.750 1014.3 98379.0 .0 68839.1 1018.8 105052.9 .0 285790.3
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-.650 1013.1 78139.7 1002.2 62042.4 1018.8 83661.7 1760.4 285381.4
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-.550 1011.6 62048.8 901.3 54844.3 1018.8 66618.6 1590.7 283275.9
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-.450 1009.8 49257.4 811.0 47492.3 1018.8 53041.3 1439.8 279594.9
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-.350 1007.5 39090.2 730.2 40236.1 1018.7 42226.3 1305.5 274473.0
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-.250 1004.7 31009.8 657.6 33308.3 1018.7 33612.7 1186.1 268052.0
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-.150 1001.1 24588.6 592.5 26906.0 1018.7 26753.0 1079.9 260475.6
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-.050 996.7 19486.5 534.1 21179.8 1018.7 21290.8 985.6 251883.9
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.050 991.2 15433.1 481.6 16229.7 1018.7 16941.9 901.9 242410.7
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.150 984.5 12213.2 434.6 12102.7 1018.6 13479.8 827.8 232180.2
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.250 976.1 9655.8 392.4 8790.1 1018.6 10723.9 762.4 221306.5
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.350 965.9 7624.9 354.5 6229.3 1018.6 8530.4 704.6 209892.6
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.450 953.5 6012.3 320.5 4317.9 1018.5 6784.8 653.6 198031.8
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.550 938.4 4732.2 289.7 2934.4 1018.4 5395.7 608.8 185808.4
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.650 920.3 3716.2 261.8 1959.1 1018.3 4290.5 569.3 173300.2
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.750 898.6 2910.0 236.4 1286.7 1018.2 3411.2 534.5 160580.9
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.850 873.0 2270.7 212.9 831.9 1018.1 2711.8 503.9 147723.5
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.950 843.0 1764.0 191.1 529.5 1017.9 2155.4 476.9 134803.8
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1.050 808.1 1362.6 170.7 331.4 1017.6 1712.9 452.9 121905.0
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1.150 768.2 1045.2 151.3 203.8 1017.3 1361.1 431.7 109121.5
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1.250 723.1 794.6 132.7 123.0 1017.0 1081.3 412.7 96562.6
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1.350 672.9 597.4 114.8 72.7 1016.5 858.8 395.6 84354.7
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1.450 618.4 442.8 97.6 42.1 1015.9 682.0 380.1 72639.3
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1.550 560.7 322.7 81.1 23.9 1015.1 541.4 366.0 61567.2
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1.650 501.8 230.4 65.5 13.5 1014.2 429.7 352.9 51286.6
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1.750 444.1 160.9 51.1 7.7 1013.0 340.9 340.7 41928.2
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1.850 387.1 110.4 37.8 4.6 1011.5 270.4 329.1 33591.5
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1.950 300.1 75.6 22.1 2.8 1009.6 214.3 318.0 26338.0
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2.050 .0 .0 .0 .0 1007.3 169.8 307.3 20189.6
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2.150 .0 .0 .0 .0 1004.3 134.4 296.6 15126.5
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2.250 .0 .0 .0 .0 1000.6 106.3 286.0 11085.2
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2.350 .0 .0 .0 .0 996.0 84.0 275.3 7959.3
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2.450 .0 .0 .0 .0 990.3 66.3 264.3 5611.7
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2.550 .0 .0 .0 .0 983.1 52.2 253.0 3893.8
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2.650 .0 .0 .0 .0 974.1 41.1 241.2 2663.7
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2.750 .0 .0 .0 .0 963.0 32.2 228.8 1798.5
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2.850 .0 .0 .0 .0 949.4 25.2 215.7 1199.0
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2.950 .0 .0 .0 .0 932.7 19.6 201.9 788.9
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3.050 .0 .0 .0 .0 912.4 15.2 187.2 511.9
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3.150 .0 .0 .0 .0 887.9 11.7 171.6 327.1
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3.250 .0 .0 .0 .0 859.0 8.9 155.1 205.6
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3.350 .0 .0 .0 .0 825.4 6.8 137.7 126.8
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3.450 .0 .0 .0 .0 787.7 5.1 119.8 76.7
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3.550 .0 .0 .0 .0 747.4 3.7 101.5 45.6
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3.650 .0 .0 .0 .0 707.8 2.7 83.5 26.8
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3.750 .0 .0 .0 .0 675.1 2.0 66.1 15.8
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3.850 .0 .0 .0 .0 658.6 1.4 49.5 9.8
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3.950 .0 .0 .0 .0 655.9 1.0 29.2 6.6
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@@ -1,21 +0,0 @@
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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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@@ -1,45 +0,0 @@
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By R.P.Kokoulin, May 12th, 2000
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Multiple Coulomb Scattering – some questions and problems
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Apart from the problems of creation and development of convenient
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procedure for fast simulation of the effect, some principal questions are to be
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answered (possibly, most of them have already been investigated)
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General
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Is it possible to use cross section formulae without magnetic formfactor and spin effects:
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a) for nucleus (probably yes);
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b) for proton (possibly yes);
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c) for electron (probably no).
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Should the scattering on the screened nucleus and on atomic electrons be considered
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separately? (likely, they should; they probably can be combined later, but…)
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Scattering on the nucleus:
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a) influence of the choice of the elastic atomic formfactor (TF, HF, hydrogen-like, …);
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there is a hope that the difference is small (with a proper choice of the parameters) but
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it should be estimated;
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b) influence of the nuclear size (it should influence RMS angle and distribution shape on
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the tail);
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c) influence of the choice of nuclear formfactor (exponential, Gaussian, Fermi model,
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etc.); probably, it is small (only RMS nucleus radius is crucial) but it is better to
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compare directly;
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d) contribution of inelastic nucleus formfactor (incoherent scattering on protons of the
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nucleus);
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e) necessity of taking into account proton formfactor (for incoherent scattering); last two
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points are expected to give small effect but need evaluation.
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Scattering on atomic electrons:
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a) introduction and influence of the choice of inelastic atomic formfactor (TH,
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hydrogen-like exponential, what else?) – it should be evaluated; more simple
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approaches, such as Z(Z+1) substitutions, seem to be incorrect;
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b) problem of a double account for scattering on electrons if explicit simulation of the
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elastic scattering of the projectile on electrons (possibly, above the cut Tcut) is
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included (knock-on electron production with full kinematics) – the possible way is to
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consider restricted multiple scattering (below Tcut).
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@@ -1,27 +0,0 @@
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Some references concerning multiple scattering (May, 2000; RPK)
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1) S.Hayakawa. Cosmic Ray Physics.
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2) S.Striganov. Nucl.Phys.B (Proc.Suppl.) 51A (1996) 172-178.
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3) B.Rossi. High Energy Particles.
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4) I.S.Baishev e.a. Sov.J.Nucl.Phys. 42 (1985) 745-749.
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5) G.R.Lynch, O.I.Dahl. NIM B58 (1991) 6-10.
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6) A.Van Ginneken. NIM A251 (1986) 21-39.
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7) A.Van Ginneken. NIM A362 (1995) 213-223.
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8) D.Liljequist. J.Appl.Phys. 62 (1987) 333-341.
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9) D.Liljequist, M.Ismail. J.Appl.Phys. 62 (1987) 342-350.
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10) D.Liljequist e.a. J.Appl.Phys. 68 (1990) 3061-3065.
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11) G.Shen e.a. Phys.Rev.D 20 (1979) 1584-1588.
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12) J.M.Fernandez-Varea e.a. NIM B73 (1993) 447-473.
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13) P.Arce, M.Wadhwa. CMS Note 1999/000 (?).
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14) L.Urban. G4 Phys.Ref.Manual (also G3toG4/quick overview and references).
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15) G.Moliere. Z.Naturforsch. 2a (1947) 133-145.
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16) G.Moliere. Z.Naturforsch. 3a (1948) 78-97.
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17) H.A.Bethe. Phys.Rev. 89 (1953) 1256-1266.
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18) W.T.Scott. Rev.Mod.Phys. 35 (1963) 231-313.
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19) L.N.Cooper, J.Rainwater. Phys.Rev. 97 (1955) 492-504.
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20) U.Fano. Phys.Rev. 93 (1954) 117-120.
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21) H.W.Lewis. Phys.Rev. 78 (1950) 526-529.
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22) S.Goudsmit, J.L.Sounderson. Phys.Rev. 57 (1940) 24-29.
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23) S.Goudsmit, J.L.Sounderson. Phys.Rev. 58 (1940) 36-42.
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24) Y.S.Tsai. Rev.Mod.Phys. 46 (1974) 815-851; ibid. 49 (1977) 421 - Errata.
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25) L.V.Spencer, C.H.Blanchard. Phys.Rev. 93 (1954) 114-116.
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@@ -1,47 +0,0 @@
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Prepared by R.Kokoulin, May 22nd, 2000
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Brief summary of G4 muon activity, May 2nd - May 23rd, 2000
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S.Kelner, R.Kokoulin, M.Maire, A.Rybin, L.Urban
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1. G4 muon tests
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The test procedure of the verification of muon interaction simulation which allows to check
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both mean free path calculation and energy transfer sampling has been suggested and
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implemented.
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First test results revealed appreciable deviations of the distributions of the energy loss from
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theoretical dependencies (for bremsstrahlung, pair production, nuclear interaction). Several bugs
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have been found and eliminated; it has greatly improved the agreement.
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The program of further G4 muon tests has been prepared and agreed, including thin target
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tests (extending the set of materials, energies, and increasing statistics), and thick target
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simulation which will allow to verify the consistency of consideration of restricted continuous
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energy loss.
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2. Refinement of the processes already implemented
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Simple formulae and algorithm for sampling photon and muon angles in muon
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bremsstrahlung have been suggested and prepared for implementation in G4. It will be coded in
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the nearest days.
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Final states for other processes (pair production, photonuclear interaction) have been
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clarified, fixed and introduced into documentation.
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Logical scheme of a consistent inclusion of bremsstrahlung correction in high-energy knock-
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on electron production and ionisation energy loss is prepared.
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List of questions concerning the validity of multiple scattering model has been compiled.
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After answering these questions, the "calibration" simulation of MCS for high-energy muons can
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be performed.
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3. Documentation
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Sections concerning three basic muon interaction processes (bremsstrahlung, pair production,
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photonuclear interaction) for PRM (Phys. Ref. Manual) have been extended, updated and
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corrected.
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Suggestions for improvements for the section in PRM about muon ionisation, and also
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comments and corrections for "Electromagnetic Physics" gallery have been prepared.
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4. Extension of the muon interactions in G4
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List of muon processes for further inclusion in G4 has been discussed. The processes of
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interest are: muon pair production by photon, muon pair production by muon, diffractive
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bremsstrahlung (which leads to a difference in positive/negative muon energy loss). Refinement
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of multiple scattering and introduction of the screening correction to bremsstrahlung and pair
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production based on recent calculations of radiation logarithm in HF model are also important
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and can improve the accuracy of G4-based simulations. The level of theoretical knowledge of
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these processes is sufficient for their implementation into algorithms and codes.
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Theoretical clarification of LPM and Coulomb corrections for electron pair production by
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muons is needed; these are important both for accelerator and high-energy cosmic ray
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applications.
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@@ -1,36 +0,0 @@
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List of problems with G4muons 15.05.00
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(Rostislav, Andrew, Laszlo, Michel, Stas, …, May 15th – May 22nd )
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1) Tests electromagnetic (conduction, search of the possible
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sources of disagreement,…)
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a) brems
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b) pairs
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c) knock-on
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2) Tests photonuclear
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3) Physics Reference Manual
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Brems, pairs, photonuclear, ionisation
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a) to agree
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b) to correct
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c) to verify
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d) to commission
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4)”A Quick Overview” - corrections
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5) Summary Note on HE muons in G4
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a) to prepare draft
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b) to discuss and to correct
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c) to prepare the iteration (pre-final)
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6) Discussions:
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a) final states in the above processes
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b) multiple scattering – applicability for HE muons
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c) muon pairs by photon
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d) muon pairs by muon
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e) diffractive bremsstrahlung
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f) …
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7) Concluding remarks and summary
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@@ -1,47 +0,0 @@
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List of tests of HE muon interactions in Geant4
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(By RPK 20-21.05.00)
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Thin target (to continue the works started):
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10 TeV, 100 cm iron, 10^5 muons, 4 processes: delta, brems, pairs, photonuclear
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(to compare with the expectation: X*?(T,?)*?*N?*?lg*log10)
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Remaining problems found at the moment:
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1) Knock-on electron production for high-energy muons has to be modified (including
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contribution from electron bremsstrahlung diagrams and radiative corrections); now it
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is not implemented properly;
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2) There is a hint for a peak near the edge of the distribution of energy lost by muon in
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photonuclear interaction (similar to that which was found and eliminated earlier in the
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bremsstrahlung); - problem has been solved! (L.U.,May 22nd)
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3) It is not clear whether the energy lost by muon is equal to the energy transferred to
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secondary particles (kinetic energy of delta-electron, total energy of electron and
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positron in pair production, etc.). There is a hint that they are different.
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4) With high statistics simulation, an error appears sometimes in
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G4HEInelastic::GenerateNBodyEvent (total mass >= total energy).
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After the general agreement is reached, to extend these calculations (with additional
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energy/material):
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Muon energies: 100 GeV and 10 TeV
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Materials: iron (100 cm, or 787 g/cm^2) and carbon (graphite, 500 cm x 2.265 g/cm^3)
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Again, after the agreement is reached, to perform calculations for iron and carbon target
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at 10 TeV energy with increased statistics (about 10^6 muons), to compare with
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expectation (also in terms of the ratio "simulated/expected"), to prepare beautiful pictures
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for inclusion in EM Physics gallery and other presentations.
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Thick target (distribution of the total energy lost by muon in bulk matter, including
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continuous energy loss and all 4 discrete processes), 3 m iron, 1 TeV muon energy,
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statistics about 10^5, then 10^6 muons:
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- histograms of the residual muon energy (in linear scale, 2 GeV bin) and of the energy
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lost by muon (in log scale, 0.10 bin in common logarithm); comparison is possible
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with Van Ginneken's TRAMU (the figure given by Particle Data Group) and with
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Geant 3.21** (A.Rybin); also simulation with original Geant 3.21 is of interest - to
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show, where it was wrong;
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- cut variation: with cut = 1 - 100 MeV the distribution should be the same (in
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particular, this is one of the tests of the consistency of continuous loss calculation);
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- histograms of the scattering angle and lateral displacement (nothing to compare? may
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be, Geant 3.21 ?).
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