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Added nu_13 and nu_24 for anisotropic Mu

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This commit is contained in:
prokscha 2018-09-11 16:36:20 +02:00
parent 09111b659d
commit 4aa264c17a
3 changed files with 70 additions and 32 deletions
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23
src/tests/MuTransition/PSimulateMuTransition.cpp
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@ -100,10 +100,13 @@ PSimulateMuTransition::PSimulateMuTransition(UInt_t seed)
} }
fNmuons = 100; // number of muons to simulate fNmuons = 100; // number of muons to simulate
fNshowProgress = 100; // print progress on screen every fNshowProgress events
fMuPrecFreq34 = 4463.; // vacuum Mu hyperfine coupling constant fMuPrecFreq34 = 4463.; // vacuum Mu hyperfine coupling constant
fMuPrecFreq12 = 0.; // Mu precession frequency of a 12 transition fMuPrecFreq12 = 0.; // Mu precession frequency of a 12 transition
fMuPrecFreq23 = 0.; // Mu precession frequency of a 23 transition fMuPrecFreq23 = 0.; // Mu precession frequency of a 23 transition
fMuPrecFreq14 = 0.; // Mu precession frequency of a 14 transition fMuPrecFreq14 = 0.; // Mu precession frequency of a 14 transition
fMuPrecFreq13 = 0.; // Mu precession frequency of a 13 transition
fMuPrecFreq24 = 0.; // Mu precession frequency of a 24 transition
fMuonPrecFreq = 0.; // muon precession frequency fMuonPrecFreq = 0.; // muon precession frequency
fBfield = 0.01; // magnetic field (T) fBfield = 0.01; // magnetic field (T)
fCaptureRate = 0.01; // Mu+ capture rate (MHz) fCaptureRate = 0.01; // Mu+ capture rate (MHz)
@ -118,6 +121,9 @@ PSimulateMuTransition::PSimulateMuTransition(UInt_t seed)
fMuFractionState34 = 0.25; fMuFractionState34 = 0.25;
fMuFractionState23 = 0.25; fMuFractionState23 = 0.25;
fMuFractionState14 = 0.25; fMuFractionState14 = 0.25;
fMuFractionState13 = 0.;
fMuFractionState24 = 0.;
fDebugFlag = kFALSE; fDebugFlag = kFALSE;
} }
@ -147,6 +153,8 @@ void PSimulateMuTransition::PrintSettings() const
cout << endl << "Mu0 precession frequency 34 (MHz) = " << fMuPrecFreq34; cout << endl << "Mu0 precession frequency 34 (MHz) = " << fMuPrecFreq34;
cout << endl << "Mu0 precession frequency 23 (MHz) = " << fMuPrecFreq23; cout << endl << "Mu0 precession frequency 23 (MHz) = " << fMuPrecFreq23;
cout << endl << "Mu0 precession frequency 14 (MHz) = " << fMuPrecFreq14; cout << endl << "Mu0 precession frequency 14 (MHz) = " << fMuPrecFreq14;
cout << endl << "Mu0 precession frequency 13 (MHz) = " << fMuPrecFreq13;
cout << endl << "Mu0 precession frequency 24 (MHz) = " << fMuPrecFreq24;
cout << endl << "Mu+ precession frequency (MHz) = " << fMuonGyroRatio * fBfield; cout << endl << "Mu+ precession frequency (MHz) = " << fMuonGyroRatio * fBfield;
cout << endl << "B field (T) = " << fBfield; cout << endl << "B field (T) = " << fBfield;
cout << endl << "Mu+ electron capture rate (MHz) = " << fCaptureRate; cout << endl << "Mu+ electron capture rate (MHz) = " << fCaptureRate;
@ -165,6 +173,7 @@ void PSimulateMuTransition::PrintSettings() const
cout << endl << "Muonium fraction state23 = " << fMuFractionState23; cout << endl << "Muonium fraction state23 = " << fMuFractionState23;
cout << endl << "Muonium fraction state14 = " << fMuFractionState14; cout << endl << "Muonium fraction state14 = " << fMuFractionState14;
cout << endl << "Number of particles to simulate = " << fNmuons; cout << endl << "Number of particles to simulate = " << fNmuons;
cout << endl << "Print progress on screen frequency = " << fNshowProgress;
cout << endl << "Initial muon spin phase (degree) = " << fInitialPhase; cout << endl << "Initial muon spin phase (degree) = " << fInitialPhase;
cout << endl << "Debug flag = " << fDebugFlag; cout << endl << "Debug flag = " << fDebugFlag;
cout << endl << endl; cout << endl << endl;
@ -224,7 +233,7 @@ void PSimulateMuTransition::Run(TH1F *histoForward, TH1F *histoBackward)
else else
histoBackward->Fill(fMuonDecayTime*1000., 1. - fAsymmetry*TMath::Cos(fMuonPhase)); histoBackward->Fill(fMuonDecayTime*1000., 1. - fAsymmetry*TMath::Cos(fMuonPhase));
if ( (i%100000) == 0) cout << "number of events processed: " << i << endl; if ( (i%fNshowProgress) == 0) cout << "number of events processed: " << i << endl;
} }
cout << "number of events processed: " << i << endl; cout << "number of events processed: " << i << endl;
return; return;
@ -291,11 +300,14 @@ TComplex PSimulateMuTransition::GTFunction(const Double_t &time, const TString c
complexPol = TComplex::Exp(-TComplex::I()*twoPi*fMuonPrecFreq*time); complexPol = TComplex::Exp(-TComplex::I()*twoPi*fMuonPrecFreq*time);
else{ else{
complexPol = complexPol =
(fMuFractionState12 * TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq12*time) + (fMuFractionState12 * TComplex::Exp(+TComplex::I()*twoPi*fMuPrecFreq12*time) +
fMuFractionState34 * TComplex::Exp(-TComplex::I()*twoPi*fMuPrecFreq34*time)) fMuFractionState34 * TComplex::Exp(-TComplex::I()*twoPi*fMuPrecFreq34*time))
+ +
(fMuFractionState23 * TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq23*time) + (fMuFractionState23 * TComplex::Exp(+TComplex::I()*twoPi*fMuPrecFreq23*time) +
fMuFractionState14 * TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq14*time)); fMuFractionState14 * TComplex::Exp(+TComplex::I()*twoPi*fMuPrecFreq14*time))
+
(fMuFractionState13 * TComplex::Exp(+TComplex::I()*twoPi*fMuPrecFreq13*time) +
fMuFractionState24 * TComplex::Exp(+TComplex::I()*twoPi*fMuPrecFreq24*time));
} }
return complexPol; return complexPol;
@ -354,9 +366,6 @@ Double_t PSimulateMuTransition::GTSpinFlip(const Double_t &time)
* after ionization process is given by Px(t_i+1)*Px(t_i). * after ionization process is given by Px(t_i+1)*Px(t_i).
* 4) get the next electron capture time, continue until t_d is reached. * 4) get the next electron capture time, continue until t_d is reached.
* *
* <p> For isotropic muonium, TF:
* nu_12 and nu_34 with equal probabilities, probability for both states fMuFractionState12
* ni_23 and nu_14 with equal probabilities, probability for both states fMuFractionState23
* *
* <p>Calculates Mu0 polarization in x direction during cyclic charge exchange. * <p>Calculates Mu0 polarization in x direction during cyclic charge exchange.
* See M. Senba, J.Phys. B23, 1545 (1990), equations (9), (11) * See M. Senba, J.Phys. B23, 1545 (1990), equations (9), (11)

10
src/tests/MuTransition/PSimulateMuTransition.h
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@ -48,12 +48,15 @@ class PSimulateMuTransition : public TObject
virtual void PrintSettings() const; virtual void PrintSettings() const;
virtual void SetNmuons(Int_t value) { fNmuons = value; } //!< number of muons virtual void SetNmuons(Int_t value) { fNmuons = value; } //!< number of muons
virtual void SetNshowProgress(Int_t value) { fNshowProgress = value; } //!< frequency of output on screen how many muons have been processed
virtual void SetDebugFlag(Bool_t value) { fDebugFlag = value; } //!< debug flag virtual void SetDebugFlag(Bool_t value) { fDebugFlag = value; } //!< debug flag
virtual void SetBfield(Double_t value) { fBfield = value; } //!< sets magnetic field (T) virtual void SetBfield(Double_t value) { fBfield = value; } //!< sets magnetic field (T)
virtual void SetMuPrecFreq12(Double_t value) { fMuPrecFreq12 = value; } //!< sets Mu transition frequency (MHz) virtual void SetMuPrecFreq12(Double_t value) { fMuPrecFreq12 = value; } //!< sets Mu transition frequency (MHz)
virtual void SetMuPrecFreq34(Double_t value) { fMuPrecFreq34 = value; } //!< sets Mu transition frequency (MHz) virtual void SetMuPrecFreq34(Double_t value) { fMuPrecFreq34 = value; } //!< sets Mu transition frequency (MHz)
virtual void SetMuPrecFreq23(Double_t value) { fMuPrecFreq23 = value; } //!< sets Mu transition frequency (MHz) virtual void SetMuPrecFreq23(Double_t value) { fMuPrecFreq23 = value; } //!< sets Mu transition frequency (MHz)
virtual void SetMuPrecFreq14(Double_t value) { fMuPrecFreq14 = value; } //!< sets Mu transition frequency (MHz) virtual void SetMuPrecFreq14(Double_t value) { fMuPrecFreq14 = value; } //!< sets Mu transition frequency (MHz)
virtual void SetMuPrecFreq13(Double_t value) { fMuPrecFreq13 = value; } //!< sets Mu transition frequency (MHz)
virtual void SetMuPrecFreq24(Double_t value) { fMuPrecFreq24 = value; } //!< sets Mu transition frequency (MHz)
virtual void SetCaptureRate(Double_t value){ fCaptureRate = value; } //!< sets Mu+ electron capture rate (MHz) virtual void SetCaptureRate(Double_t value){ fCaptureRate = value; } //!< sets Mu+ electron capture rate (MHz)
virtual void SetIonizationRate(Double_t value){ fIonizationRate = value; } //!< sets Mu0 ionization rate (MHz) virtual void SetIonizationRate(Double_t value){ fIonizationRate = value; } //!< sets Mu0 ionization rate (MHz)
virtual void SetSpinFlipRate(Double_t value){ fSpinFlipRate = value; } //!< sets Mu0 spin flip rate (MHz) virtual void SetSpinFlipRate(Double_t value){ fSpinFlipRate = value; } //!< sets Mu0 spin flip rate (MHz)
@ -63,6 +66,8 @@ class PSimulateMuTransition : public TObject
virtual void SetMuFractionState34(Double_t value){ fMuFractionState34 = value; } virtual void SetMuFractionState34(Double_t value){ fMuFractionState34 = value; }
virtual void SetMuFractionState23(Double_t value){ fMuFractionState23 = value; } virtual void SetMuFractionState23(Double_t value){ fMuFractionState23 = value; }
virtual void SetMuFractionState14(Double_t value){ fMuFractionState14 = value; } virtual void SetMuFractionState14(Double_t value){ fMuFractionState14 = value; }
virtual void SetMuFractionState13(Double_t value){ fMuFractionState13 = value; }
virtual void SetMuFractionState24(Double_t value){ fMuFractionState24 = value; }
virtual Bool_t IsValid() { return fValid; } virtual Bool_t IsValid() { return fValid; }
virtual void SetSeed(UInt_t seed); virtual void SetSeed(UInt_t seed);
@ -81,6 +86,8 @@ class PSimulateMuTransition : public TObject
Double_t fMuPrecFreq34; //!< Mu transition frequency 34 (MHz) Double_t fMuPrecFreq34; //!< Mu transition frequency 34 (MHz)
Double_t fMuPrecFreq23; //!< Mu transition frequency 23 (MHz) Double_t fMuPrecFreq23; //!< Mu transition frequency 23 (MHz)
Double_t fMuPrecFreq14; //!< Mu transition frequency 14 (MHz) Double_t fMuPrecFreq14; //!< Mu transition frequency 14 (MHz)
Double_t fMuPrecFreq13; //!< Mu transition frequency 13 (MHz)
Double_t fMuPrecFreq24; //!< Mu transition frequency 24 (MHz)
Double_t fMuonPrecFreq; //!< muon precession frequency (MHz) Double_t fMuonPrecFreq; //!< muon precession frequency (MHz)
Double_t fCaptureRate; //!< Mu+ electron capture rate (MHz) Double_t fCaptureRate; //!< Mu+ electron capture rate (MHz)
Double_t fIonizationRate; //!< Mu0 ionization rate (MHz) Double_t fIonizationRate; //!< Mu0 ionization rate (MHz)
@ -94,7 +101,10 @@ class PSimulateMuTransition : public TObject
Double_t fMuFractionState34; //!< fraction of Mu in state 34 Double_t fMuFractionState34; //!< fraction of Mu in state 34
Double_t fMuFractionState23; //!< fraction of Mu in state 23 Double_t fMuFractionState23; //!< fraction of Mu in state 23
Double_t fMuFractionState14; //!< fraction of Mu in state 14 Double_t fMuFractionState14; //!< fraction of Mu in state 14
Double_t fMuFractionState13; //!< fraction of Mu in state 13
Double_t fMuFractionState24; //!< fraction of Mu in state 24
Int_t fNmuons; //!< number of muons to simulate Int_t fNmuons; //!< number of muons to simulate
Int_t fNshowProgress; //!< output on screen how many muons have been processed
Bool_t fDebugFlag; //!< debug flag Bool_t fDebugFlag; //!< debug flag
virtual Double_t NextEventTime(const Double_t &EventRate); virtual Double_t NextEventTime(const Double_t &EventRate);

47
src/tests/MuTransition/runMuSimulation.C
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@ -63,21 +63,29 @@ void runMuSimulation()
Double_t T = 300.; //temperature Double_t T = 300.; //temperature
Double_t EA = 100; //activation energy (meV) Double_t EA = 100; //activation energy (meV)
Double_t spinFlipRate = 0.01; //if spinFlipRate > 0.001 only spin-flip processes will be simulated Double_t spinFlipRate = 0.01; //if spinFlipRate > 0.001 only spin-flip processes will be simulated
Double_t capRate = 0.0001;//*sqrt(T/200.); //assume that capture rate varies as sqrt(T), capRate = sigma*v*p , v ~ sqrt(T) Double_t capRate = 0.001;//*sqrt(T/200.); //assume that capture rate varies as sqrt(T), capRate = sigma*v*p , v ~ sqrt(T)
Double_t preFac = 6.7e7;
Double_t ionRate; //assume Arrhenius behaviour ionRate = preFac*exp(-EA/kT) Double_t ionRate; //assume Arrhenius behaviour ionRate = preFac*exp(-EA/kT)
ionRate = 0.1; //2.9e7 * exp(-EA/(0.08625*T)); // Ge: 2.9*10^7MHz "attempt" frequency; 1K = 0.08625 meV ionRate = 0.001; //preFac * exp(-EA/(0.08625*T)); // Ge: 2.9*10^7MHz "attempt" frequency; 1K = 0.08625 meV
Double_t B = 106.5; //field in G Double_t B = 100.0; //field in G
Double_t Bvar = 0.; //field variance Double_t Bvar = 0.; //field variance
Double_t Freq12 = 40.433; //Mu freq of the 12 transition Double_t Freq12 = 40.023; //Mu freq of the 12 transition
Double_t Freq34 = 59.567; //Mu freq of the 34 transition Double_t Freq34 = 59.977; //Mu freq of the 34 transition
Double_t Freq23 = 256.245; //Mu freq of the 23 transition Double_t Freq23 = 238.549; //Mu freq of the 23 transition
Double_t Freq14 = 356.245; //Mu freq of the 14 transition Double_t Freq14 = 338.549; //Mu freq of the 14 transition
Double_t Freq13 = 278.571; //Mu freq of the 23 transition
Double_t Freq24 = 325.165; //Mu freq of the 14 transition
Double_t MuFrac = 1.0; //total Mu fraction Double_t MuFrac = 1.0; //total Mu fraction
Double_t MuFrac12 = 0.487; //weight of transition 12 Double_t MuFrac12 = 0.486; //weight of transition 12
Double_t MuFrac34 = 0.487; //weight of transition 34 Double_t MuFrac34 = 0.486; //weight of transition 34
Double_t MuFrac23 = 0.013; //weight of transition 23 Double_t MuFrac23 = 0.014; //weight of transition 23
Double_t MuFrac14 = 0.013; //weight of transition 14 Double_t MuFrac14 = 0.014; //weight of transition 14
Double_t MuFrac13 = 0.0; //weight of transition 13
Double_t MuFrac24 = 0.0; //weight of transition 24
Int_t Nmuons = 5e6; //number of muons Int_t Nmuons = 5e6; //number of muons
Int_t NshowProgress = 1e4; //frequency to show progress on screen
Double_t Asym = 0.27; //muon decay asymmetry Double_t Asym = 0.27; //muon decay asymmetry
Int_t debugFlag = 0; //print debug information on screen Int_t debugFlag = 0; //print debug information on screen
@ -85,7 +93,7 @@ void runMuSimulation()
histogramFileName += runNo; histogramFileName += runNo;
histogramFileName += TString(".root"); histogramFileName += TString(".root");
sprintf(titleStr,"- complexMuPol, A0 100MHz, Mu-frac %3.2f, Mu12 %6.2f MHz(%3.2f), Mu23 %6.2f MHz(%3.2f), ionRate %8.3f MHz, capRate %6.3f MHz, SF rate %6.3f MHz, %5.1f G", MuFrac, Freq12, MuFrac12/2, Freq23, MuFrac23/2, ionRate, capRate, spinFlipRate, B); sprintf(titleStr,"- complexMuPol, A0 100MHz, Mu-frac %3.2f, Mu12 %6.2f MHz(%3.2f), Mu23 %6.2f MHz(%3.2f), ionRate %8.3f MHz, capRate %6.3f MHz, SF rate %6.3f MHz, %5.1f G", MuFrac, Freq12, MuFrac12, Freq23, MuFrac23, ionRate, capRate, spinFlipRate, B);
runTitle = TString("0"); runTitle = TString("0");
runTitle += runNo; runTitle += runNo;
runTitle += TString(titleStr); runTitle += TString(titleStr);
@ -99,15 +107,20 @@ void runMuSimulation()
simulateMuTransition->SetMuPrecFreq34(Freq34); // MHz simulateMuTransition->SetMuPrecFreq34(Freq34); // MHz
simulateMuTransition->SetMuPrecFreq23(Freq23); // MHz simulateMuTransition->SetMuPrecFreq23(Freq23); // MHz
simulateMuTransition->SetMuPrecFreq14(Freq14); // MHz simulateMuTransition->SetMuPrecFreq14(Freq14); // MHz
simulateMuTransition->SetMuPrecFreq13(Freq13); // MHz
simulateMuTransition->SetMuPrecFreq24(Freq24); // MHz
simulateMuTransition->SetMuFraction(MuFrac); // initial Mu fraction simulateMuTransition->SetMuFraction(MuFrac); // initial Mu fraction
simulateMuTransition->SetMuFractionState12(MuFrac12); simulateMuTransition->SetMuFractionState12(MuFrac12);
simulateMuTransition->SetMuFractionState34(MuFrac34); simulateMuTransition->SetMuFractionState34(MuFrac34);
simulateMuTransition->SetMuFractionState23(MuFrac23); simulateMuTransition->SetMuFractionState23(MuFrac23);
simulateMuTransition->SetMuFractionState14(MuFrac14); simulateMuTransition->SetMuFractionState14(MuFrac14);
simulateMuTransition->SetMuFractionState13(MuFrac13);
simulateMuTransition->SetMuFractionState24(MuFrac24);
simulateMuTransition->SetBfield(B/10000.); // Tesla simulateMuTransition->SetBfield(B/10000.); // Tesla
simulateMuTransition->SetCaptureRate(capRate); // MHz simulateMuTransition->SetCaptureRate(capRate); // MHz
simulateMuTransition->SetIonizationRate(ionRate); // MHz simulateMuTransition->SetIonizationRate(ionRate); // MHz
simulateMuTransition->SetSpinFlipRate(spinFlipRate); // MHz simulateMuTransition->SetSpinFlipRate(spinFlipRate); // MHz
simulateMuTransition->SetNshowProgress(NshowProgress);
simulateMuTransition->SetNmuons(Nmuons); simulateMuTransition->SetNmuons(Nmuons);
simulateMuTransition->SetDecayAsymmetry(Asym); simulateMuTransition->SetDecayAsymmetry(Asym);
simulateMuTransition->SetDebugFlag(debugFlag); // to print time and phase during charge-changing cycle simulateMuTransition->SetDebugFlag(debugFlag); // to print time and phase during charge-changing cycle
@ -179,12 +192,18 @@ void runMuSimulation()
header->Set("Simulation/Mu0 Precession frequency 34", Freq34); header->Set("Simulation/Mu0 Precession frequency 34", Freq34);
header->Set("Simulation/Mu0 Precession frequency 23", Freq23); header->Set("Simulation/Mu0 Precession frequency 23", Freq23);
header->Set("Simulation/Mu0 Precession frequency 14", Freq14); header->Set("Simulation/Mu0 Precession frequency 14", Freq14);
header->Set("Simulation/Mu0 Precession frequency 13", Freq13);
header->Set("Simulation/Mu0 Precession frequency 24", Freq24);
header->Set("Simulation/Mu0 Fraction", MuFrac); header->Set("Simulation/Mu0 Fraction", MuFrac);
header->Set("Simulation/Mu0 Fraction 12", MuFrac12); header->Set("Simulation/Mu0 Fraction 12", MuFrac12);
header->Set("Simulation/Mu0 Fraction 34", MuFrac34); header->Set("Simulation/Mu0 Fraction 34", MuFrac34);
header->Set("Simulation/Mu0 Fraction 23", MuFrac23); header->Set("Simulation/Mu0 Fraction 23", MuFrac23);
header->Set("Simulation/Mu0 Fraction 14", MuFrac14); header->Set("Simulation/Mu0 Fraction 14", MuFrac14);
header->Set("Simulation/muon Capture Rate", capRate); header->Set("Simulation/Mu0 Fraction 13", MuFrac13);
header->Set("Simulation/Mu0 Fraction 24", MuFrac24);
header->Set("Simulation/Mu0 Activation Energy", EA);
header->Set("Simulation/Mu0 Activation PreFactor", preFac);
header->Set("Simulation/Mux Capture Rate", capRate);
header->Set("Simulation/Mu0 Ionization Rate", ionRate); header->Set("Simulation/Mu0 Ionization Rate", ionRate);
header->Set("Simulation/Mu0 Spin Flip Rate", spinFlipRate); header->Set("Simulation/Mu0 Spin Flip Rate", spinFlipRate);
header->Set("Simulation/Number of Muons", Nmuons); header->Set("Simulation/Number of Muons", Nmuons);
@ -206,7 +225,7 @@ void runMuSimulation()
histo[i] = new TH1F(str, str, 18001, -0.5, 18000.5); histo[i] = new TH1F(str, str, 18001, -0.5, 18000.5);
} }
for (i=0; i<NDECAYHISTS; i++) for (UInt_t i=0; i<NDECAYHISTS; i++)
decayAnaModule->Add(histo[i]); decayAnaModule->Add(histo[i]);
// run simulation // run simulation