Gabriele Cosmo
123 lines
4.6 KiB
C++
123 lines
4.6 KiB
C++
//
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// ********************************************************************
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// * DISCLAIMER *
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// * *
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// * The following disclaimer summarizes all the specific disclaimers *
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// * of contributors to this software. The specific disclaimers,which *
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// * govern, are listed with their locations in: *
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// * http://cern.ch/geant4/license *
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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. *
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// * *
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// * This code implementation is the intellectual property of the *
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// * GEANT4 collaboration. *
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// * By copying, distributing or modifying the Program (or any work *
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// * based on the Program) you indicate your acceptance of this *
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// * statement, and all its terms. *
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// ********************************************************************
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//
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#ifndef GVFlashHomoShowerTuning_hh
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#define GVFlashHomoShowerTuning_hh
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// J.P. Wellisch, Oct. 2004
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class GVFlashHomoShowerTuning
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{
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public:
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// Definitions:
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// <t>: shower center of gravity
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// T: Depth at shower maximum
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// Ec: Critical energy
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// y = E/Ec
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// X0: Radiation length
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// Homogeneous media:
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// Avarage shower profile
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// (1/E)(dE(t)/dt) = f(t) = (beta*t)**(alpha-1)*beta*std::exp(-beta*t)/Gamma(alpha)
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// where Gamma: The Gamma function
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//
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// <t> = alpha/beta
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// T = (alpha-1)/beta
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// and
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// T = ln(y) + t1
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// alpha = a1+(a2+a3/Z)ln(y)
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virtual G4double ParAveT1(){ return -0.858;} // t1
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virtual G4double ParAveA1(){ return 0.21; } // a1
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virtual G4double ParAveA2(){ return 0.492; } // a2
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virtual G4double ParAveA3(){ return 2.38; } // a3
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// std::sqrt(var(ln(T))) = 1/(t+t2*ln(y))
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virtual G4double ParSigLogT1(){ return -1.4;} // t1
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virtual G4double ParSigLogT2(){ return 1.26;} // t2
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// std::sqrt(var(ln(alpha))) = 1/(a1+a2*ln(y))
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virtual G4double ParSigLogA1(){ return -0.58;} // a1
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virtual G4double ParSigLogA2(){ return 0.86; } // a2
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// Correlation(ln(T),ln(alpha))=r1+r2*ln(y)
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virtual G4double ParRho1(){ return 0.705; } // r1
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virtual G4double ParRho2(){ return -0.023;} // r2
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// Radial profiles
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// f(r) := (1/dE(t))(dE(t,r)/dr)
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// Ansatz:
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// 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
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//
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// Rc (t/T)= z1 +z2*t/T
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// z1 = c1+c2*ln(E/GeV)
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// z2 = c3+c4*Z
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virtual G4double ParRC1(){ return 0.0251; } // c1
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virtual G4double ParRC2(){ return 0.00319; } // c2
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virtual G4double ParRC3(){ return 0.1162; } // c3
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virtual G4double ParRC4(){ return -0.000381;} // c4
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// Rt (t/T)= k1*(std::exp(k3*(t/T-k2))+std::exp(k4*(t/T-k2)))
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// k1 = t1+t2*Z
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// k4 = t5+t6*ln(E/GeV)
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virtual G4double ParRT1(){ return 0.659; } // t1
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virtual G4double ParRT2(){ return -0.00309;} // t2
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virtual G4double ParRT3(){ return 0.645; } // k2
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virtual G4double ParRT4(){ return -2.59; } // k3
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virtual G4double ParRT5(){ return 0.3585; } // t5
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virtual G4double ParRT6(){ return 0.0412; } // t6
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// p(t/T) = p1*std::exp((p2-t/T)/p3 - std::exp((p2-t/T)/p3))
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// p1 = c1+c2*Z
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// p2 = c3+c4*Z
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// p3 = c5 + c6*ln(E/GeV)
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virtual G4double ParWC1(){ return 2.632; } // c1
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virtual G4double ParWC2(){ return -0.00094;} // c2
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virtual G4double ParWC3(){ return 0.401; } // c3
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virtual G4double ParWC4(){ return 0.00187; } // c4
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virtual G4double ParWC5(){ return 1.313; } // c5
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virtual G4double ParWC6(){ return -0.0686; } // c6
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// Fluctuations on radial profiles through number of spots
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// The total number of spots needed for a shower is
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// Ns = n1*ln(Z)(E/GeV)**n2
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virtual G4double ParSpotN1(){ return 93.; } // n1
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virtual G4double ParSpotN2(){ return 0.876;} // n2
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// The number of spots per longitudinal interval is:
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// (1/Ns)(dNs(t)/dt) = f(t) = (beta*t)**(alpha-1)*beta*std::exp(-beta*t)/Gamma(alpha)
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// <t> = alpha_s/beta_s
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// Ts = (alpha_s-1)/beta_s
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// and
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// Ts = T*(t1+t2*Z)
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// alpha_s = alpha*(a1+a2*Z)
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virtual G4double ParSpotT1(){ return 0.698; } // t1
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virtual G4double ParSpotT2(){ return 0.00212;} // t2
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virtual G4double ParSpotA1(){ return 0.639; } //a1
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virtual G4double ParSpotA2(){ return 0.00334;} //a2
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};
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#endif
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