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geant4/source/parameterisations/gflash/include/GVFlashHomoShowerTuning.hh
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// $Id: GVFlashHomoShowerTuning.hh,v 1.7 2006/06/29 19:14:04 gunter Exp $
// GEANT4 tag $Name: geant4-08-02 $
//
//
// ---------------------------------------------------------------
// GEANT 4 class header file
//
// GVFlashHomoShowerTuning
//
// Class description:
//
// Tuning class for GFlash homogeneous shower parameterisation.
// Definitions:
// <t>: shower center of gravity
// T: Depth at shower maximum
// Ec: Critical energy
// X0: Radiation length
// y = E/Ec
//
// Homogeneous media:
// Average shower profile
// (1/E)(dE(t)/dt) = f(t)
// = (beta*t)**(alpha-1)*beta*std::exp(-beta*t)/Gamma(alpha)
// where Gamma is the Gamma function
//
// <t> = alpha/beta
// T = (alpha-1)/beta
// and
// T = ln(y) + t1
// alpha = a1+(a2+a3/Z)ln(y)
// Author: J.P. Wellisch - October 2004
//---------------------------------------------------------------
#ifndef GVFlashHomoShowerTuning_hh
#define GVFlashHomoShowerTuning_hh
class GVFlashHomoShowerTuning
{
public: // with description
virtual G4double ParAveT1(){ return -0.812;} // t1
virtual G4double ParAveA1(){ return 0.81; } // a1
virtual G4double ParAveA2(){ return 0.458; } // a2
virtual G4double ParAveA3(){ return 2.26; } // a3
virtual G4double ParSigLogT1(){ return -1.4;} // t1
virtual G4double ParSigLogT2(){ return 1.26;} // t2
// std::sqrt(var(ln(T))) = 1/(t+t2*ln(y))
virtual G4double ParSigLogA1(){ return -0.58;} // a1
virtual G4double ParSigLogA2(){ return 0.86; } // a2
// std::sqrt(var(ln(alpha))) = 1/(a1+a2*ln(y))
virtual G4double ParRho1(){ return 0.705; } // r1
virtual G4double ParRho2(){ return -0.023;} // r2
// Correlation(ln(T),ln(alpha))=r1+r2*ln(y)
// Radial profiles
// f(r) := (1/dE(t))(dE(t,r)/dr)
// Ansatz:
// f(r) = p(2*r*Rc**2)/(r**2+Rc**2)**2+(1-p)*(2*r*Rt**2)/(r**2+Rt**2)**2,
// 0<p<1
virtual G4double ParRC1(){ return 0.0251; } // c1
virtual G4double ParRC2(){ return 0.00319; } // c2
virtual G4double ParRC3(){ return 0.1162; } // c3
virtual G4double ParRC4(){ return -0.000381;} // c4
// Rc (t/T)= z1 +z2*t/T
// z1 = c1+c2*ln(E/GeV)
// z2 = c3+c4*Z
virtual G4double ParRT1(){ return 0.659; } // t1
virtual G4double ParRT2(){ return -0.00309;} // t2
virtual G4double ParRT3(){ return 0.645; } // k2
virtual G4double ParRT4(){ return -2.59; } // k3
virtual G4double ParRT5(){ return 0.3585; } // t5
virtual G4double ParRT6(){ return 0.0412; } // t6
// Rt (t/T)= k1*(std::exp(k3*(t/T-k2))+std::exp(k4*(t/T-k2)))
// k1 = t1+t2*Z
// k4 = t5+t6*ln(E/GeV)
virtual G4double ParWC1(){ return 2.632; } // c1
virtual G4double ParWC2(){ return -0.00094;} // c2
virtual G4double ParWC3(){ return 0.401; } // c3
virtual G4double ParWC4(){ return 0.00187; } // c4
virtual G4double ParWC5(){ return 1.313; } // c5
virtual G4double ParWC6(){ return -0.0686; } // c6
// p(t/T) = p1*std::exp((p2-t/T)/p3 - std::exp((p2-t/T)/p3))
// p1 = c1+c2*Z
// p2 = c3+c4*Z
// p3 = c5 + c6*ln(E/GeV)
virtual G4double ParSpotN1(){ return 93.; } // n1
virtual G4double ParSpotN2(){ return 0.876;} // n2
// Fluctuations on radial profiles through number of spots
// The total number of spots needed for a shower is
// Ns = n1*ln(Z)(E/GeV)**n2
// The number of spots per longitudinal interval is:
// (1/Ns)(dNs(t)/dt) = f(t)
// = (beta*t)**(alpha-1)*beta*std::exp(-beta*t)/Gamma(alpha)
// <t> = alpha_s/beta_s
// Ts = (alpha_s-1)/beta_s
// and
// Ts = T*(t1+t2*Z)
// alpha_s = alpha*(a1+a2*Z)
virtual G4double ParSpotT1(){ return 0.698; } // t1
virtual G4double ParSpotT2(){ return 0.00212;} // t2
virtual G4double ParSpotA1(){ return 0.639; } //a1
virtual G4double ParSpotA2(){ return 0.00334;} //a2
};
#endif