--- /dev/null
+/**************************************************************************
+ * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
+ * *
+ * Author: The ALICE Off-line Project. *
+ * Contributors are mentioned in the code where appropriate. *
+ * *
+ * Permission to use, copy, modify and distribute this software and its *
+ * documentation strictly for non-commercial purposes is hereby granted *
+ * without fee, provided that the above copyright notice appears in all *
+ * copies and that both the copyright notice and this permission notice *
+ * appear in the supporting documentation. The authors make no claims *
+ * about the suitability of this software for any purpose. It is *
+ * provided "as is" without express or implied warranty. *
+ **************************************************************************/
+
+// --- Standard libraries
+#include <stdlib.h>
+#include <search.h>
+
+// --- ROOT system
+#include <TRandom.h>
+#include <TF1.h>
+
+// --- AliRoot classes
+#include "AliZDCFragment.h"
+
+ClassImp(AliZDCFragment)
+
+//_____________________________________________________________________________
+AliZDCFragment::AliZDCFragment()
+{
+ //
+ // Default constructor
+ //
+ fB = 0;
+}
+
+//_____________________________________________________________________________
+AliZDCFragment::AliZDCFragment(Float_t b)
+ : TNamed(" "," ")
+{
+ //
+ // Standard constructor
+ //
+ fB = b;
+ fZbAverage = 0;
+ fNimf = 0;
+ fZmax = 0;
+ fTau = 0;
+ fNalpha = 0;
+ fZtot = 0;
+ fNtot = 0;
+ for(Int_t i=0; i<=99; i++){
+ fZZ[i] = 0;
+ fNN[i] = 0;
+ }
+
+}
+
+//_____________________________________________________________________________
+void AliZDCFragment::GenerateIMF(Int_t* fZZ, Int_t &fNalpha)
+{
+ // Coefficients of polynomial for average number of IMF
+ Float_t ParamNimf[5]={0.011236,1.8364,56.572,-116.24,58.289};
+ // Coefficients of polynomial for fluctuations on average number of IMF
+ Float_t ParamFluctNimf[4]={-0.13176,2.9392,-5.2147,2.3092};
+ // Coefficients of polynomial for average maximum Z of fragments
+ Float_t ParamZmax[4]={0.16899,14.203,-2.8284,65.036};
+ // Coefficients of polynomial for fluctuations on maximum Z of fragments
+ Float_t ParamFluctZmax[5]={0.013782,-0.17282,1.5065,1.0654,-2.4317};
+ // Coefficients of polynomial for exponent tau of fragments Z distribution
+ Float_t ParamTau[3]={6.7233,-15.85,13.047};
+ //Coefficients of polynomial for average number of alphas
+ Float_t ParamNalpha[4]={-0.68554,39.605,-68.311,30.165};
+ // Coefficients of polynomial for fluctuations on average number of alphas
+ Float_t ParamFluctNalpha[5]={0.283,6.2141,-17.113,17.394,-6.6084};
+ // Coefficients of function for Pb nucleus skin
+ Float_t ParamSkinPb[2]={0.93,11.05};
+
+ // Thickness of nuclear surface
+ Float_t NuclearThick = 0.52;
+ // Maximum impact parameter for U [r0*A**(1/3)]
+ Float_t bMaxU = 14.87;
+ // Maximum impact parameter for Pb [r0*A**(1/3)]
+ Float_t bMaxPb = 14.22;
+ // Z of the projectile
+ Float_t ZProj = 82.;
+
+ // From b(Pb) to b(U)
+ Float_t bU = fB*bMaxU/bMaxPb;
+
+ // From b(U) to Zbound(U)
+ // --- A.Schuttauf et al, Nuc.Phys. A607 (1996) 457 ---------------
+ // From geometrical consideration and from dsigma/dZbound for U+U,
+ // which is approx. constant, the constant value is found
+ // integrating the nucleus cross surface from 0 to bmax=R1+R2 where
+ // R = 1.2*A**(1/3). This value has been measured in Aladin (U+U).
+ Float_t ZbU = bU*bU*TMath::Pi()/7.48;
+
+ // Rescale Zbound for Pb
+ fZbAverage = ZProj/92.*ZbU;
+
+ // Zbound is proportional to b**2 up to b < bMaxPb-2*NuclearThick
+ // and then it is an increasing exponential, imposing that at
+ // b=bMaxPb-2NuclearThick the two functions have the same derivative
+ Float_t bCore = bMaxPb-2*NuclearThick;
+ if(fB>bCore){
+ fZbAverage=ZProj*(1.-TMath::Exp(-ParamSkinPb[0]*(fB-ParamSkinPb[1])));
+ }
+ if(fZbAverage>ZProj) fZbAverage = ZProj;
+ Float_t ZbNorm = fZbAverage/ZProj;
+ Float_t bNorm = fB/bMaxPb;
+
+ // From Zbound to <Nimf>,<Zmax>,tau
+ // Polinomial fits to Aladin distribution
+ // --- A.Schuttauf et al, Nuc.Phys. A607 (1996) 457.
+ Float_t AverageNimf = ParamNimf[0]+ParamNimf[1]*ZbNorm+ParamNimf[2]*
+ TMath::Power(ZbNorm,2)+ParamNimf[3]*TMath::Power(ZbNorm,3)+
+ ParamNimf[4]*TMath::Power(ZbNorm,4);
+
+ // Add fluctuation: from Singh et al.
+ Float_t FluctNimf = ParamFluctNimf[0]+ParamFluctNimf[1]*ZbNorm+
+ ParamFluctNimf[2]*TMath::Power(ZbNorm,2)+ParamFluctNimf[3]
+ *TMath::Power(ZbNorm,3);
+ Float_t xx = gRandom->Gaus(0.0,1.0);
+ FluctNimf = FluctNimf*xx;
+ fNimf = Int_t(AverageNimf+FluctNimf);
+ Float_t y = gRandom->Rndm();
+ if(y < ((AverageNimf+FluctNimf)-fNimf)) fNimf += 1;
+ if(fNimf ==0 && ZbNorm>0.75) fNimf = 1;
+// printf("\n fNimf = %d\n", fNimf);
+
+ Float_t AverageZmax = ParamZmax[0]+ParamZmax[1]*ZbNorm+ParamZmax[2]*
+ TMath::Power(ZbNorm,2)+ParamZmax[3]*TMath::Power(ZbNorm,3);
+ fTau = ParamTau[0]+ParamTau[1]*ZbNorm+ParamTau[2]*TMath::Power(ZbNorm,2);
+
+ // Add fluctuation to mean value of Zmax (see Hubele)
+ Float_t FluctZmax = ParamFluctZmax[0]+ParamFluctZmax[1]*ZbNorm+
+ ParamFluctZmax[2]*TMath::Power(ZbNorm,2)+ParamFluctZmax[3]*
+ TMath::Power(ZbNorm,3)+ParamFluctZmax[4]*TMath::Power(ZbNorm,4);
+ FluctZmax = FluctZmax*ZProj/6.;
+ Float_t xg = gRandom->Gaus(0.0,1.0);
+ FluctZmax = FluctZmax*xg;
+ fZmax = AverageZmax+FluctZmax;
+ if(fZmax>ZProj) fZmax = ZProj;
+// printf("\n fZmax = %f\n", fZmax);
+
+ // Find the number of alpha particles
+ // from Singh et al. : Pb+emulsion
+ Float_t AverageAlpha = ParamNalpha[0]+ParamNalpha[1]*ZbNorm+
+ ParamNalpha[2]*TMath::Power(ZbNorm,2)+ParamNalpha[3]*
+ TMath::Power(ZbNorm,3);
+ Float_t FluctAlpha = ParamFluctNalpha[0]+ParamFluctNalpha[1]*
+ ZbNorm+ParamFluctNalpha[2]*TMath::Power(ZbNorm,2)+
+ ParamFluctNalpha[3]*TMath::Power(ZbNorm,3)+
+ ParamFluctNalpha[4]*TMath::Power(ZbNorm,4);
+ Float_t xxx = gRandom->Gaus(0.0,1.0);
+ FluctAlpha = FluctAlpha*xxx;
+ fNalpha = Int_t(AverageAlpha+FluctAlpha);
+ Float_t yy = gRandom->Rndm();
+ if(yy < ((AverageAlpha+FluctAlpha)-fNalpha)) fNalpha += 1;
+
+ Int_t Choice = 0;
+ Float_t ZbFrag = 0, SumZ = 0.;
+ // 2 possibilities:
+ // 1) for bNorm < 0.9 ==> first remove alphas, then fragments
+ // 2) for bNorm > 0.9 ==> first remove fragments, then alphas
+
+ if(bNorm<=0.9) {
+ // remove alpha from zbound to find zbound for fragments (Z>=3)
+ ZbFrag = fZbAverage-fNalpha*2;
+ Choice = 1;
+ }
+ else {
+ ZbFrag = fZbAverage;
+ Choice = 0;
+ }
+// printf("\n Choice = %d, fZbAverage = %f, ZbFrag = %f \n", Choice, fZbAverage, ZbFrag);
+
+
+ // Check if ZbFrag < fZmax
+ if(ZbFrag<=fZmax) {
+ if(fNimf>0 && ZbFrag>=2){
+ fNimf = 1;
+ fZZ[0] = Int_t(ZbFrag);
+ SumZ = ZbFrag;
+ }
+ else {
+ fNimf = 0;
+ }
+ return;
+ }
+
+ // Prepare the exponential charge distribution dN/dZ
+ if(fZmax <= 0.01) {
+ fNimf = 0;
+ return;
+ }
+ if(fNimf == 0) {
+ fNimf = 0;
+ return;
+ }
+
+ TF1 *funTau = new TF1("funTau","1./(x**[0])",0.01,fZmax);
+ funTau->SetParameter(0,fTau);
+
+ // Extract randomly the charge of the fragments from the distribution
+
+ Float_t zz[fNimf];
+ for(Int_t j=0; j<fNimf; j++){
+ zz[j] =0;
+ }
+ for(Int_t i=0; i<fNimf; i++){
+ zz[i] = Float_t(funTau->GetRandom());
+// printf("\n zz[%d] = %f \n",i,zz[i]);
+ }
+ delete funTau;
+
+ // Sorting vector in ascending order
+
+// int comp(const void*, const void*);
+ qsort((void*)zz,fNimf,sizeof(float),comp);
+
+ for(Int_t i=0; i<fNimf; i++){
+// printf("\n After sorting -> zz[%d] = %f \n",i,zz[i]);
+ }
+
+ // Rescale the maximum charge to fZmax
+ for(Int_t j=0; j<fNimf; j++){
+ fZZ[j] = Int_t (zz[j]*fZmax/zz[fNimf-1]);
+ if(fZZ[j]<3) fZZ[j] = 3;
+// printf("\n fZZ[%d] = %d \n",j,fZZ[j]);
+ }
+
+ // Check that the sum of the bound charges is not greater than Zbound-Zalfa
+
+ for(Int_t ii=0; ii<fNimf; ii++){
+ SumZ += fZZ[ii];
+ }
+
+ Int_t k = 0;
+ if(SumZ>ZbFrag){
+ for(Int_t i=0; i< fNimf; i++){
+ k += 1;
+ SumZ -= fZZ[i];
+ if(SumZ<=ZbFrag){
+ fNimf -= (i+1);
+ break;
+ }
+ }
+ }
+ else {
+ if(Choice == 1) return;
+ Int_t iDiff = Int_t((ZbFrag-SumZ)/2);
+ if(iDiff<fNalpha){
+ fNalpha=iDiff;
+ return;
+ }
+ else{
+ return;
+ }
+ }
+
+ fNimf += k;
+ for(Int_t i=0; i<fNimf; i++){
+ fZZ[i] = fZZ[i+k];
+ }
+ fNimf -= k;
+
+ SumZ=0;
+ for(Int_t i=0; i<fNimf; i++){
+ SumZ += fZZ[i];
+ }
+// printf("\n The END -> fNimf = %d, SumZ = %f, fZmax = %f\n",
+// fNimf, SumZ, fZmax);
+// printf("\n fNalpha = %d\n", fNalpha);
+// for(Int_t j=0; j<fNimf; j++){
+// printf("\n fZZ[%d] = %d \n",j,fZZ[j]);
+// }
+
+}
+
+int comp(const void *i,const void *j){return (int*)j-(int*)i;}
+
+//_____________________________________________________________________________
+void AliZDCFragment::AttachNeutrons(Int_t *fZZ, Int_t *fNN, Int_t &fZtot,Int_t &fNtot)
+{
+ Float_t AIon[68]={1.87612,2.80943,3.7284,5.60305,6.53536,
+ 6.53622,8.39479,9.32699,10.2551,11.17793,
+ 13.04378,14.89917,17.6969,18.62284,21.41483,
+ 22.34193,25.13314,26.06034,28.85188,29.7818,
+ 32.57328,33.50356,36.29447,37.22492,41.87617,
+ 44.66324,47.45401,48.38228,51.17447,52.10307,
+ 54.89593,53.96644,58.61856,59.54963,68.85715,
+ 74.44178,78.16309,81.88358,83.74571,91.19832,
+ 98.64997,106.10997,111.68821,122.86796,
+ 128.45793,
+ 130.32111,141.51236,
+ 141.55,146.477,148.033,152.699,153.631,
+ 155.802,157.357,162.022,162.984,166.2624,
+ 168.554,171.349,173.4536,177.198,179.0518,
+ 180.675,183.473,188.1345,190.77,193.729,
+ 221.74295};
+ Int_t ZIon[68]={1,1,2,3,3,
+ 4,4,5,5,6,
+ 7,8,9,10,11,
+ 12,13,14,15,16,
+ 17,18,19,20,21,
+ 22,23,24,25,26,
+ 27,28,29,30,32,
+ 34,36,38,40,42,
+ 46,48,50,54,56,
+ 58,62,
+ 63,64,65,66,67,
+ 68,69,70,71,72,
+ 73,74,75,76,77,
+ 78,79,80,81,82,
+ 92};
+
+ Int_t iZ, iA;
+// printf("\n jfNimf=%d\n",fNimf);
+ for(Int_t i=0; i<fNimf; i++) {
+ for(Int_t j=0; j<68; j++) {
+ iZ = ZIon[j];
+ if((fZZ[i]-iZ) == 0){
+ iA = Int_t(AIon[j]/0.93149432+0.5);
+ fNN[i] = iA - iZ;
+// printf("\n j=%d,iA=%d,fZZ[%d]=%d,fNN[%d]=%d\n",j,iA,i,fZZ[i],i,fNN[i]);
+ break;
+ }
+ else if((fZZ[i]-iZ) < 0){
+ fZZ[i] = ZIon[j-1];
+ iA = Int_t (AIon[j-1]/0.93149432+0.5);
+ fNN[i] = iA - ZIon[j-1];
+// printf("\n j=%d,iA=%d,fZZ[%d]=%d,fNN[%d]=%d\n",j,iA,i,fZZ[i],i,fNN[i]);
+ break;
+ }
+ }
+ fZtot += fZZ[i];
+ fNtot += fNN[i];
+ }
+
+
+}