Import Geant4 10.4.0 source tree
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Gabriele Cosmo
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//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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// $Id: $
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//
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// ----------------------------------------------------------------------------
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//
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// GEANT4 Class header file
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//
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// File name: G4GSMottCorrection
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//
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// Author: Mihaly Novak
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//
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// Creation date: 23.08.2017
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//
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// Modifications:
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//
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// Class description:
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// An object of this calss is used in the G4GoudsmitSaundersonTable when Mott-correction
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// was required by the user in the G4GoudsmitSaundersonMscModel.
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// The class is responsible to handle pre-computed Mott correction (rejection) functions
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// obtained as a ratio of GS angular distributions computed based on the Screened-Rutherford
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// DCS to GS angular distributions computed based on a more accurate corrected DCS_{cor}.
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// The DCS used to compute the accurate Goudsmit-Saunderson angular distributions is [1]:
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// DCS_{cor} = DCS_{SR}x[ DCS_{R}/DCS_{Mott}] where :
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// # DCS_{SR} is the relativistic Screened-Rutherford DCS (first Born approximate
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// solution of the Klein-Gordon i.e. relativistic Schrodinger equation =>
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// scattering of spinless e- on exponentially screened Coulomb potential)
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// note: the default (without using Mott-correction) GS angular distributions
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// are based on this DCS_{SR} with Moliere's screening parameter!
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// # DCS_{R} is the Rutherford DCS which is the same as above but without
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// screening
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// # DCS_{Mott} is the Mott DCS i.e. solution of the Dirac equation with a bare
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// Coulomb potential i.e. scattering of particles with spin (e- or e+) on a
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// point-like unscreened Coulomb potential [2]
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// # moreover, the screening parameter of the DCS_{cor} was determined such that
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// the DCS_{cor} with this corrected screening parameter reproduce the first
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// transport cross sections obtained from the corresponding most accurate DCS [3].
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// Unlike the default GS, the Mott-corrected angular distributions are particle type
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// (different for e- and e+ <= the DCS_{Mott} and the screening correction) and target
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// (Z and material) dependent.
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//
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// References:
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// [2] I.Kawrakow, E.Mainegra-Hing, D.W.O.Rogers, F.Tessier,B.R.B.Walters, NRCC
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// Report PIRS-701 (2013)
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// [2] N.F. Mott, Proc. Roy. Soc. (London) A 124 (1929) 425.
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// [3] F.Salvat, A.Jablonski, C.J. Powell, CPC 165(2005) 157-190
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//
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// -----------------------------------------------------------------------------
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#ifndef G4GSMottCorrection_h
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#define G4GSMottCorrection_h 1
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#include <CLHEP/Units/SystemOfUnits.h>
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#include "globals.hh"
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#include <vector>
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#include <string>
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#include <sstream>
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class G4Material;
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class G4Element;
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class G4GSMottCorrection {
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public:
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G4GSMottCorrection(G4bool iselectron=true);
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~G4GSMottCorrection();
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void Initialise();
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void GetMottCorrectionFactors(G4double logekin, G4double beta2, G4int matindx,
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G4double &mcToScr, G4double &mcToQ1, G4double &mcToG2PerG1);
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G4double GetMottRejectionValue(G4double logekin, G4double G4beta2, G4double q1, G4double cost,
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G4int matindx, G4int &ekindx, G4int &deltindx);
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static G4int GetMaxZet() { return gMaxZet; }
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private:
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void InitMCDataPerElement();
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void InitMCDataPerMaterials();
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void LoadMCDataElement(const G4Element*);
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void ReadCompressedFile(std::string fname, std::istringstream &iss);
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void InitMCDataMaterial(const G4Material*);
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//
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// dat structures
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struct DataPerDelta {
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G4double fSA; // a,b,c,d spline interpolation parameters for the last \sin(0.5\theta) bin
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G4double fSB;
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G4double fSC;
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G4double fSD;
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G4double *fRejFuntion; // rejection func. for a given E_{kin}, \delta, e^-/e^+ over the \sin(0.5\theta) grid
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};
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struct DataPerEkin {
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G4double fMCScreening; // correction factor to Moliere screening parameter
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G4double fMCFirstMoment; // correction factor to first moment
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G4double fMCSecondMoment; // correction factor to second
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DataPerDelta **fDataPerDelta; // per delta value data structure for each delta values
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};
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// either per material or per Z
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struct DataPerMaterial {
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DataPerEkin **fDataPerEkin; // per kinetic energy data structure for each kinetic energy value
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};
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//
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void AllocateDataPerMaterial(DataPerMaterial*);
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void DeAllocateDataPerMaterial(DataPerMaterial*);
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void ClearMCDataPerElement();
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void ClearMCDataPerMaterial();
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//
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// data members:
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// - Mott correction data are computed over a :
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// I. Kinetic energy grid [both rejection functions and correction factors]:
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// 1. kinetic energy grid from 1[keV] - 100[keV] with log-spacing 16 points:
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// # linear interpolation on \ln[E_{kin}] will be used
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// 2. \beta^2 grid from E_{kin} = 100[keV](~0.300546) - \beta^2=0.9999(~50.5889MeV]) with linear spacing 16 points:
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// # linear interpolation on \beta^2 will be used
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// 3. the overall kinetic energy grid is from E_{kin}=1[keV] - E_{kin}<=\beta^2=0.9999(~50.5889MeV]) with 31 points
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// II. Delta value grid [rejection functions at a given kinetic energy(also depends on \theta;Z,e-/e+)]:
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// 1. \delta=2 Q_{1SR} (\eta_{MCcor})/ [1-2 Q_{1SR} (\eta_{MCcor})] where Q_{1SR} is the first moment i.e.
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// Q_{1SR}(\eta_{MCcor}) =s/\lambda_{el}G_{1SR}(\eta_{MCcor}) where s/\lambda_{el} is the mean number of elastic
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// scattering along the path s and G_{1SR}(\eta_{MCcor}) is the first, Screened-Rutherford transport coefficient
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// but computed by using the Mott-corrected Moliere screening parameter
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// 2. the delta value grid is from [0(1e-3) - 0.9] with linear spacing of 28 points:
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// # linear interpolation will be used on \delta
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// III. \sin(0.5\theta) grid[rejection function at a given kinetic energy - delta value pair (also depends on Z,e-/e+)]:
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// 1. 32 \sin(0.5\theta) pints between [0,1] with linear spacing: # linear interpolation on \sin(0.5\theta) will
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// be used exept the last bin where spline is used (the corresponding 4 spline parameters are also stored)
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private:
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G4bool fIsElectron;
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static constexpr G4int gNumEkin = 31; // number of kinetic energy grid points for Mott correction
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static constexpr G4int gNumBeta2 = 16; // \beta^2 values between [fMinBeta2-fMaxBeta2]
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static constexpr G4int gNumDelta = 28; // \delta values between [0(1.e-3)-0.9]
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static constexpr G4int gNumAngle = 32; //
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static constexpr G4int gMaxZet = 98; // max. Z for which Mott-correction data were computed (98)
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static constexpr G4double gMinEkin = 1.*CLHEP::keV; // minimum kinetic energy value
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static constexpr G4double gMidEkin = 100.*CLHEP::keV; // kinetic energy at the border of the E_{kin}-\beta^2 grids
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static constexpr G4double gMaxBeta2 = 0.9999; // maximum \beta^2 value
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static constexpr G4double gMaxDelta = 0.9; // maximum \delta value (the minimum is 0(1.e-3))
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//
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G4double fMaxEkin; // from max fMaxBeta2 = 0.9999 (~50.5889 [MeV])
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G4double fLogMinEkin; // \ln[fMinEkin]
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G4double fInvLogDelEkin; // 1/[\ln(fMidEkin/fMinEkin)/(fNumEkin-fNumBeta2)]
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G4double fMinBeta2; // <= E_{kin}=100 [keV] (~0.300546)
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G4double fInvDelBeta2; // 1/[(fMaxBeta2-fMinBeta2)/(fNumBeta2-1)]
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G4double fInvDelDelta; // 1/[0.9/(fNumDelta-1)]
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G4double fInvDelAngle; // 1/[(1-0)/fNumAngle-1]
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//
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static const std::string gElemSymbols[];
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//
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std::vector<DataPerMaterial*> fMCDataPerElement; // size will be gMaxZet+1; won't be null only at used Z indices
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std::vector<DataPerMaterial*> fMCDataPerMaterial; // size will #materials; won't be null only at used mat. indices
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};
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#endif // G4GSMottCorrection_h
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