Added two precessing and one non-precessing Mu state.
This commit is contained in:
@ -54,17 +54,20 @@ PSimulateMuTransition::PSimulateMuTransition(UInt_t seed)
|
||||
fValid = false;
|
||||
}
|
||||
|
||||
fNmuons = 100; // number of muons to simulate
|
||||
fMuCoupling = 4463.; // vacuum Mu hyperfine coupling constant
|
||||
fBfield = 0.01; // magnetic field (T)
|
||||
fCaptureRate = 0.01; // Mu+ capture rate (MHz)
|
||||
fIonizationRate = 10.; // Mu0 ionization rate (MHz)
|
||||
fInitialPhase = 0.;
|
||||
fMuonPhase = fInitialPhase;
|
||||
fMuonDecayTime = 0.;
|
||||
fAsymmetry = 0.27;
|
||||
fMuFraction = 0.;
|
||||
fDebugFlag = kFALSE;
|
||||
fNmuons = 100; // number of muons to simulate
|
||||
fMuPrecFreq1 = 4463.; // vacuum Mu hyperfine coupling constant
|
||||
fMuPrecFreq2 = 0.; // Mu precession frequency of a 2nd Mu transition
|
||||
fBfield = 0.01; // magnetic field (T)
|
||||
fCaptureRate = 0.01; // Mu+ capture rate (MHz)
|
||||
fIonizationRate = 10.; // Mu0 ionization rate (MHz)
|
||||
fInitialPhase = 0.;
|
||||
fMuonPhase = fInitialPhase;
|
||||
fMuonDecayTime = 0.;
|
||||
fAsymmetry = 0.27;
|
||||
fMuFraction = 0.;
|
||||
fMuFractionState1 = 0.;
|
||||
fMuFractionState2 = 0.;
|
||||
fDebugFlag = kFALSE;
|
||||
}
|
||||
|
||||
//--------------------------------------------------------------------------
|
||||
@ -89,12 +92,15 @@ PSimulateMuTransition::~PSimulateMuTransition()
|
||||
*/
|
||||
void PSimulateMuTransition::PrintSettings() const
|
||||
{
|
||||
cout << endl << "Mu hyperfine couling (MHz) = " << fMuCoupling;
|
||||
cout << endl << "Mu precession frequency state1 (MHz) = " << fMuPrecFreq1;
|
||||
cout << endl << "Mu precession frequency state2 (MHz) = " << fMuPrecFreq2;
|
||||
cout << endl << "B field (T) = " << fBfield;
|
||||
cout << endl << "Mu+ electron capture rate (MHz) = " << fCaptureRate;
|
||||
cout << endl << "Mu ionizatioan rate (MHz) = " << fIonizationRate;
|
||||
cout << endl << "Decay asymmetry = " << fAsymmetry;
|
||||
cout << endl << "Muonium fraction = " << fMuFraction;
|
||||
cout << endl << "Muonium fraction state1 = " << fMuFractionState1;
|
||||
cout << endl << "Muonium fraction state2 = " << fMuFractionState2;
|
||||
cout << endl << "Number of particles to simulate = " << fNmuons;
|
||||
cout << endl << "Initial muon spin phase (degree) = " << fInitialPhase;
|
||||
cout << endl << "Debug flag = " << fDebugFlag;
|
||||
@ -134,9 +140,9 @@ void PSimulateMuTransition::Run(TH1F *histoForward, TH1F *histoBackward)
|
||||
fMuonDecayTime = NextEventTime(fMuonDecayRate);
|
||||
// initial muon state Mu+ or Mu0?
|
||||
if (fRandom->Rndm() <= 1.-fMuFraction)
|
||||
MuonEvent();
|
||||
Event("Mu+");
|
||||
else
|
||||
MuoniumEvent();
|
||||
Event("");
|
||||
|
||||
// fill 50% in "forward", and 50% in "backward" detector to get independent
|
||||
// events in "forward" and "backward" histograms. This allows "normal" uSR
|
||||
@ -184,99 +190,103 @@ Double_t PSimulateMuTransition::PrecessionPhase(const Double_t &time, const Doub
|
||||
}
|
||||
|
||||
//--------------------------------------------------------------------------
|
||||
// MuonEvent (private)
|
||||
// Event (private)
|
||||
//--------------------------------------------------------------------------
|
||||
/**
|
||||
* <p> Generates "one muon event": simulate muon phase under free precession at
|
||||
* external field and Mu precession
|
||||
* initial muon state: Mu+
|
||||
*
|
||||
* \param muonString if eq. "Mu+" begin with Mu+ precession
|
||||
*/
|
||||
void PSimulateMuTransition::MuonEvent()
|
||||
void PSimulateMuTransition::Event(const TString muonString)
|
||||
{
|
||||
Double_t eventTime, eventDiffTime, captureTime, ionizationTime;
|
||||
Double_t muonPrecessionFreq; // MHz
|
||||
Double_t muonPrecessionFreq, muoniumPrecessionFreq; // MHz
|
||||
Double_t rndm, frac1, frac2;
|
||||
|
||||
muonPrecessionFreq = fMuonGyroRatio * fBfield;
|
||||
|
||||
// charge-exchange loop until muon decay
|
||||
eventTime = 0.;
|
||||
eventDiffTime = 0.;
|
||||
if (fDebugFlag) cout << "Muon Event, Decay time = " << fMuonDecayTime << endl;
|
||||
while (1) {
|
||||
// assume Mu+ as initial state; get next electron capture time
|
||||
captureTime = NextEventTime(fCaptureRate);
|
||||
eventTime += captureTime;
|
||||
if (fDebugFlag) cout << "Capture time = " << captureTime << " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(captureTime, muonPrecessionFreq);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - captureTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, muonPrecessionFreq);
|
||||
break;
|
||||
}
|
||||
|
||||
// now, we have Mu0; get next ionization time
|
||||
ionizationTime = NextEventTime(fIonizationRate);
|
||||
eventTime += ionizationTime;
|
||||
if (fDebugFlag) cout << "Ioniza. time = " << ionizationTime << " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(ionizationTime, fMuCoupling);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - ionizationTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, fMuCoupling);
|
||||
break;
|
||||
}
|
||||
}
|
||||
|
||||
if (fDebugFlag) cout << " Final Phase = " << fMuonPhase << endl;
|
||||
//fMuonPhase = TMath::ACos(TMath::Cos(fMuonPhase))*360./TMath::TwoPi(); //transform back to [0, 180] degree interval
|
||||
return;
|
||||
}
|
||||
|
||||
//--------------------------------------------------------------------------
|
||||
// MuoniumEvent (private)
|
||||
//--------------------------------------------------------------------------
|
||||
/**
|
||||
* <p> Generates "one muonium event": simulate muon spin phase in Mu and as
|
||||
* free muon in external field
|
||||
* initial muon state: Mu0
|
||||
*
|
||||
*/
|
||||
void PSimulateMuTransition::MuoniumEvent()
|
||||
{
|
||||
Double_t eventTime, eventDiffTime, captureTime, ionizationTime;
|
||||
Double_t muonPrecessionFreq; // MHz
|
||||
|
||||
muonPrecessionFreq = fMuonGyroRatio * fBfield;
|
||||
|
||||
// charge-exchange loop until muon decay
|
||||
eventTime = 0.;
|
||||
eventDiffTime = 0.;
|
||||
if (fDebugFlag) cout << "Muonium event, Decay time = " << fMuonDecayTime << endl;
|
||||
while (1) {
|
||||
// we have Mu0 as initial state; get next ionization time
|
||||
ionizationTime = NextEventTime(fIonizationRate);
|
||||
eventTime += ionizationTime;
|
||||
if (fDebugFlag) cout << "Ioniza. time = " << ionizationTime << " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(ionizationTime, fMuCoupling);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - ionizationTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, fMuCoupling);
|
||||
break;
|
||||
}
|
||||
|
||||
// now we have Mu+, get next electron capture time
|
||||
captureTime = NextEventTime(fCaptureRate);
|
||||
eventTime += captureTime;
|
||||
if (fDebugFlag) cout << "Capture time = " << captureTime << " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(captureTime, muonPrecessionFreq);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - captureTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, muonPrecessionFreq);
|
||||
break;
|
||||
if (fDebugFlag) cout << "Decay time = " << fMuonDecayTime << endl;
|
||||
//cout << muonString << endl;
|
||||
while (1) {
|
||||
if (muonString == "Mu+"){
|
||||
// Mu+ initial state; get next electron capture time
|
||||
captureTime = NextEventTime(fCaptureRate);
|
||||
eventTime += captureTime;
|
||||
if (fDebugFlag) cout << "Capture time = " << captureTime << " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(captureTime, muonPrecessionFreq);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - captureTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, muonPrecessionFreq);
|
||||
break;
|
||||
}
|
||||
|
||||
// now, we have Mu0; get next ionization time
|
||||
ionizationTime = NextEventTime(fIonizationRate);
|
||||
eventTime += ionizationTime;
|
||||
// determine Mu state
|
||||
rndm = fRandom->Rndm();
|
||||
frac1 = 1. - fMuFractionState1 - fMuFractionState2; // non-precessing Mu states
|
||||
frac2 = 1. - fMuFractionState2;
|
||||
if ( rndm < frac1 )
|
||||
muoniumPrecessionFreq = 0.;
|
||||
else if (rndm >= frac1 && rndm <= frac2)
|
||||
muoniumPrecessionFreq = fMuPrecFreq1;
|
||||
else
|
||||
muoniumPrecessionFreq = fMuPrecFreq2;
|
||||
|
||||
if (fDebugFlag) cout << "Ioniza. time = " << ionizationTime << " Freq = " << muoniumPrecessionFreq
|
||||
<< " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(ionizationTime, muoniumPrecessionFreq);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - ionizationTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, muoniumPrecessionFreq);
|
||||
break;
|
||||
}
|
||||
}
|
||||
else{
|
||||
// Mu0 as initial state; get next ionization time
|
||||
ionizationTime = NextEventTime(fIonizationRate);
|
||||
eventTime += ionizationTime;
|
||||
// determine Mu state
|
||||
rndm = fRandom->Rndm();
|
||||
frac1 = 1. - fMuFractionState1 - fMuFractionState2; // non-precessing Mu states
|
||||
frac2 = 1. - fMuFractionState2;
|
||||
if ( rndm < frac1 )
|
||||
muoniumPrecessionFreq = 0.;
|
||||
else if (rndm >= frac1 && rndm <= frac2)
|
||||
muoniumPrecessionFreq = fMuPrecFreq1;
|
||||
else
|
||||
muoniumPrecessionFreq = fMuPrecFreq2;
|
||||
|
||||
if (fDebugFlag)
|
||||
cout << "Mu Ioniza. time = " << ionizationTime << " Freq = " << muoniumPrecessionFreq
|
||||
<< " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(ionizationTime, muoniumPrecessionFreq);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - ionizationTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, muoniumPrecessionFreq);
|
||||
break;
|
||||
}
|
||||
|
||||
// Mu+ state; get next electron capture time
|
||||
captureTime = NextEventTime(fCaptureRate);
|
||||
eventTime += captureTime;
|
||||
if (fDebugFlag) cout << "Capture time = " << captureTime << " Phase = " << fMuonPhase << endl;
|
||||
if (eventTime < fMuonDecayTime)
|
||||
fMuonPhase += PrecessionPhase(captureTime, muonPrecessionFreq);
|
||||
else{ //muon decays; handle precession prior to muon decay
|
||||
eventDiffTime = fMuonDecayTime - (eventTime - captureTime);
|
||||
fMuonPhase += PrecessionPhase(eventDiffTime, muonPrecessionFreq);
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
Reference in New Issue
Block a user