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Merge branch 'master' of https://git.psi.ch/nemu/musrfit

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256
src/tests/MuTransition/PSimulateMuTransition.cpp
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@ -3,9 +3,7 @@
PSimulateMuTransition.cpp
Author: Thomas Prokscha
Date: 25-Feb-2010
$Id$
Date: 25-Feb-2010, 14-Apr-2016
Use root macros runMuSimulation.C and testAnalysis.C to run the simulation
and to get a quick look on the data. Data are saved to a root histogram file
@ -13,26 +11,28 @@
analyze the simulated data.
Description:
Root class to simulate muon spin phase under successive Mu+/Mu0 charge-exchange
processes by a Monte-Carlo method. Consider transverse field geometry, and assume
initial muon spin direction in x, and field applied along z. For PxMu(t) in
muonium use the equation 8.22 of the muSR book of Yaounc and Dalmas de Réotier, in
slightly modified form (see Senba, J. Phys. B 23, 1545 (1990)); note that PxMu(t)
is given by a superposition of the four frequencies "nu_12", "nu_34", "nu_23", "nu_14".
These frequencies and the corresponding probabilities ("SetMuFractionState12" for
transitions 12 and 34, "SetMuFractionState23" for states 23 and 14) can be calculated
Root class to simulate muon spin polarization under successive Mu+/Mu0 charge-exchange
or Mu0 spin-flip processes by a Monte-Carlo method. Consider transverse field geometry,
and assume initial muon spin direction in x, and field applied along z. For PxMu(t) in
muonium use the complex expression of
equation (4) in the paper of M. Senba, J. Phys. B 23, 1545 (1990), or
equation (7) in the paper of M. Senba, J. Phys. B 24, 3531 (1991);
note that PxMu(t) is given by a superposition of the four frequencies "nu_12", "nu_34",
"nu_23", "nu_14". These frequencies and the corresponding probabilities ("SetMuFractionState12"
for transitions 12 and 34, "SetMuFractionState23" for states 23 and 14) can be calculated
for a given field with the root macro AnisotropicMu.C
Parameters:
1) Precession frequencies of "nu_12", "nu_34", "nu_23", "nu_14"
2) fractions of nu_12, nu_34; and nu_23 and nu_14
3) total Mu0 fraction
4) electron-capture rate
5) Mu ionization rate
6) initial muon spin phase
7) total muon decay asymmetry
8) number of muon decays to be generated.
9) debug flag: if TRUE print capture/ionization events on screen
4) Mu+ electron-capture rate
5) Mu0 ionization rate
6) Mu0 spin-flip rate
7) initial muon spin phase
9) total muon decay asymmetry
9) number of muon decays to be generated.
10) debug flag: if TRUE print capture/ionization events on screen
Output:
Two histograms ("forward" and "backward") are written to a root file.
@ -43,10 +43,13 @@
1) according to Mu+/Mu0 fraction begin either with a Mu+ state or Mu state
2) Mu+: determine next electron-capture time t_c. If t_c is larger than decay time t_d
calculate muon spin precession for t_d; else calculate spin precession for t_c.
3) Determine next ionization time t_i; calculate Px(t_i) in Muonium; calculate the
muon spin phase by acos(Px(t_i)).
4) get the next electron capture time, continue until t_d is reached; accumulate muon spin
phase.
3) Determine next ionization time t_i; calculate Px(t_i) in Muonium; calculate the total
muon spin polarization Px(t_i)*Px(t_c).
4) get the next electron capture time, continue until t_d is reached, and calculate
the resulting polarization.
The Mu0 spin-flip processes are calculated in GTSpinFlip(), using eq. (17) of
M. Senba, J. Phys. B 24, 3531 (1991).
***************************************************************************/
@ -111,8 +114,10 @@ PSimulateMuTransition::PSimulateMuTransition(UInt_t seed)
fMuonDecayTime = 0.;
fAsymmetry = 0.27;
fMuFraction = 0.;
fMuFractionState12 = 0.;
fMuFractionState23 = 0.;
fMuFractionState12 = 0.25;
fMuFractionState34 = 0.25;
fMuFractionState23 = 0.25;
fMuFractionState14 = 0.25;
fDebugFlag = kFALSE;
}
@ -138,19 +143,27 @@ PSimulateMuTransition::~PSimulateMuTransition()
*/
void PSimulateMuTransition::PrintSettings() const
{
cout << endl << "Mu precession frequency 12 (MHz) = " << fMuPrecFreq12;
cout << endl << "Mu precession frequency 34 (MHz) = " << fMuPrecFreq34;
cout << endl << "Mu precession frequency 23 (MHz) = " << fMuPrecFreq23;
cout << endl << "Mu precession frequency 14 (MHz) = " << fMuPrecFreq14;
cout << endl << "Mu0 precession frequency 12 (MHz) = " << fMuPrecFreq12;
cout << endl << "Mu0 precession frequency 34 (MHz) = " << fMuPrecFreq34;
cout << endl << "Mu0 precession frequency 23 (MHz) = " << fMuPrecFreq23;
cout << endl << "Mu0 precession frequency 14 (MHz) = " << fMuPrecFreq14;
cout << endl << "Mu+ precession frequency (MHz) = " << fMuonGyroRatio * fBfield;
cout << endl << "B field (T) = " << fBfield;
cout << endl << "Mu+ electron capture rate (MHz) = " << fCaptureRate;
cout << endl << "Mu0 ionizatioan rate (MHz) = " << fIonizationRate;
cout << endl << "Mu0 spin-flip rate (MHz) = " << fSpinFlipRate;
cout << endl << "!!! Note: if spin-flip rate > 0.001 only spin-flip process is considered!!!";
if (fSpinFlipRate > 0.001)
cout << endl << "!!! Note: spin-flip rate > 0.001 only spin-flip processes are considered!!!";
else{
cout << endl << "!!! spin-flip rate <= 0.001: only charge-exchange cycles are considered!!!";
cout << endl << "!!! if spin-flip rate > 0.001, only spin-flip processes are considered!!!";
}
cout << endl << "Decay asymmetry = " << fAsymmetry;
cout << endl << "Muonium fraction = " << fMuFraction;
cout << endl << "Muonium fraction state12 = " << fMuFractionState12;
cout << endl << "Muonium fraction state34 = " << fMuFractionState34;
cout << endl << "Muonium fraction state23 = " << fMuFractionState23;
cout << endl << "Muonium fraction state14 = " << fMuFractionState14;
cout << endl << "Number of particles to simulate = " << fNmuons;
cout << endl << "Initial muon spin phase (degree) = " << fInitialPhase;
cout << endl << "Debug flag = " << fDebugFlag;
@ -181,23 +194,26 @@ void PSimulateMuTransition::SetSeed(UInt_t seed)
*/
void PSimulateMuTransition::Run(TH1F *histoForward, TH1F *histoBackward)
{
// Double_t muoniumPolX = 1.0; //polarization in x direction
Int_t i;
if (histoForward == 0 || histoBackward == 0)
return;
fMuonPrecFreq = fMuonGyroRatio * fBfield;
for (i = 0; i<fNmuons; i++){
fMuonPhase = TMath::TwoPi() * fInitialPhase/360.; // transform to radians
fMuonDecayTime = NextEventTime(fMuonDecayRate);
if (fSpinFlipRate > 0.001){// consider only Mu0 spin-flip in this case
fMuonPhase = TMath::ACos(GTSpinFlip(fMuonDecayTime));
fMuonPhase += TMath::ACos(GTSpinFlip(fMuonDecayTime));
}
else{
// initial muon state Mu+ or Mu0?
if (fRandom->Rndm() <= 1.-fMuFraction)
Event("Mu+");
fMuonPhase += TMath::ACos(Event("Mu+"));
else
Event("");
fMuonPhase += TMath::ACos(Event("Mu0"));
}
// fill 50% in "forward", and 50% in "backward" detector to get independent
// events in "forward" and "backward" histograms. This allows "normal" uSR
@ -233,28 +249,29 @@ Double_t PSimulateMuTransition::NextEventTime(const Double_t &EventRate)
//--------------------------------------------------------------------------
// Phase (private)
//--------------------------------------------------------------------------
/**
* <p>Determines phase of the muon spin
// /**
/* * <p>Determines phase of the muon spin
*
* \param time duration of precession (us);
* \param chargeState charge state of Mu ("Mu+" or "Mu0")
*/
Double_t PSimulateMuTransition::PrecessionPhase(const Double_t &time, const TString chargeState)
{
Double_t muonPhaseX;
Double_t muoniumPolX = 0;
if (chargeState == "Mu+")
muonPhaseX = TMath::TwoPi()*fMuonPrecFreq*time;
else if (chargeState == "Mu0"){
muoniumPolX = GTFunction(time).Re();
muonPhaseX = TMath::ACos(muoniumPolX);
}
else
muonPhaseX = 0.;
return muonPhaseX;
}
// Double_t PSimulateMuTransition::PrecessionPhase(const Double_t &time, const TString chargeState)
// {
// Double_t muonPhaseX;
// Double_t muoniumPolX = 0;
//
// if (chargeState == "Mu+")
// muonPhaseX = TMath::TwoPi()*fMuonPrecFreq*time;
// else if (chargeState == "Mu0"){
// muoniumPolX = GTFunction(time).Re();
// if (fDebugFlag) cout << "muoniumPolX = " << muoniumPolX << endl;
// muonPhaseX = TMath::ACos(muoniumPolX);
// }
// else
// muonPhaseX = 0.;
//
// return muonPhaseX;
// }
//--------------------------------------------------------------------------
// Mu0 transverse field polarization function (private)
@ -264,29 +281,24 @@ Double_t PSimulateMuTransition::PrecessionPhase(const Double_t &time, const TStr
*
* \param time (us);
*/
TComplex PSimulateMuTransition::GTFunction(const Double_t &time)
TComplex PSimulateMuTransition::GTFunction(const Double_t &time, const TString chargeState)
{
Double_t twoPi = TMath::TwoPi();
TComplex complexPol = 0;
complexPol =
0.5 * fMuFractionState12 *
(TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq12*time) +
TComplex::Exp(-TComplex::I()*twoPi*fMuPrecFreq34*time))
+
0.5 * fMuFractionState23 *
(TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq23*time) +
TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq14*time));
if (chargeState == "Mu+")
complexPol = TComplex::Exp(-TComplex::I()*twoPi*fMuonPrecFreq*time);
else{
complexPol =
(fMuFractionState12 * TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq12*time) +
fMuFractionState34 * TComplex::Exp(-TComplex::I()*twoPi*fMuPrecFreq34*time))
+
(fMuFractionState23 * TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq23*time) +
fMuFractionState14 * TComplex::Exp(TComplex::I()*twoPi*fMuPrecFreq14*time));
}
return complexPol;
// Double_t muoniumPolX = 0;
// muoniumPolX = 0.5 *
// (fMuFractionState12 * (TMath::Cos(twoPi*fMuPrecFreq12*time) + TMath::Cos(twoPi*fMuPrecFreq34*time)) +
// fMuFractionState23 * (TMath::Cos(twoPi*fMuPrecFreq23*time) + TMath::Cos(twoPi*fMuPrecFreq14*time)));
//
// return muoniumPolX;
}
//--------------------------------------------------------------------------
@ -308,18 +320,18 @@ Double_t PSimulateMuTransition::GTSpinFlip(const Double_t &time)
eventTime += NextEventTime(fSpinFlipRate);
if (eventTime >= time){
muoniumPolX = GTFunction(time).Re();
muoniumPolX = GTFunction(time, "Mu0").Re();
}
else{
while (eventTime < time){
eventDiffTime = eventTime - lastEventTime;
complexPolX = complexPolX * GTFunction(eventDiffTime);
complexPolX = complexPolX * GTFunction(eventDiffTime, "Mu0");
lastEventTime = eventTime;
eventTime += NextEventTime(fSpinFlipRate);
}
// calculate for the last collision
eventDiffTime = time - lastEventTime;
complexPolX = complexPolX * GTFunction(eventDiffTime);
complexPolX = complexPolX * GTFunction(eventDiffTime, "Mu0");
muoniumPolX = complexPolX.Re();
}
@ -330,130 +342,100 @@ Double_t PSimulateMuTransition::GTSpinFlip(const Double_t &time)
// Event (private)
//--------------------------------------------------------------------------
/**
* <p> Generates "muon event": simulate muon spin phase under charge-exchange with
* <p> Generates "muon event": simulate muon spin polarization under charge-exchange with
* a neutral muonium state in transverse field, where the polarization evolution
* PxMu(t) of the muon spin in muonium is determined by a superposition of the
* four "Mu transitions" nu_12, nu_34, nu_23, and nu_14.
* four "Mu transitions" nu_12, nu_34, nu_23, and nu_14. Use complex polarization
* functions.
* 1) according to Mu+/Mu0 fraction begin either with a Mu+ state or Mu state
* 2) Mu+: determine next electron-capture time t_c. If t_c is larger than decay time t_d
* calculate muon spin precession for t_d; else calculate spin precession for t_c.
* 3) Determine next ionization time t_i; calculate Px(t_i) in Muonium; calculate the
* muon spin phase by acos(Px(t_i)).
* calculate muon spin precession for t_d, Px(t_i); else calculate spin precession for t_c.
* 3) Determine next ionization time t_i+1; calculate Px(t_i+1) in Muonium. Polarization
* 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.
*
* <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.
* See M. Senba, J.Phys. B23, 1545 (1990), equations (9), (11)
* \param muonString if eq. "Mu+" begin with Mu+ precession
*/
void PSimulateMuTransition::Event(const TString muonString)
Double_t PSimulateMuTransition::Event(const TString muonString)
{
TComplex complexPolX = 1.0;
Double_t muoniumPolX = 1.0; //initial polarization in x direction
Double_t eventTime, eventDiffTime, captureTime, ionizationTime;
// Double_t muonPrecessionFreq, muoniumPrecessionFreq; // MHz
// Double_t rndm, frac1, frac2;
fMuonPrecFreq = fMuonGyroRatio * fBfield;
// charge-exchange loop until muon decay
eventTime = 0.;
eventDiffTime = 0.;
if (fDebugFlag) cout << "Decay time = " << fMuonDecayTime << endl;
//cout << muonString << endl;
// charge-exchange loop until muon decays
while (1) {
if (muonString == "Mu+"){
// Mu+ initial state; get next electron capture time
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 (fDebugFlag) cout << "Capture time = " << captureTime << " PolX = " << complexPolX.Re() << endl;
if (eventTime < fMuonDecayTime)
fMuonPhase += PrecessionPhase(captureTime, "Mu+");
complexPolX *= GTFunction(captureTime, "Mu+");
else{ //muon decays; handle precession prior to muon decay
eventDiffTime = fMuonDecayTime - (eventTime - captureTime);
fMuonPhase += PrecessionPhase(eventDiffTime, "Mu+");
complexPolX *= GTFunction(eventDiffTime, "Mu+");
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){
// if (fRandom->Rndm() <= 0.5)
// muoniumPrecessionFreq = fMuPrecFreq12;
// else
// muoniumPrecessionFreq = fMuPrecFreq34;
// }
// else{
// if (fRandom->Rndm() <= 0.5)
// muoniumPrecessionFreq = fMuPrecFreq23;
// else
// muoniumPrecessionFreq = fMuPrecFreq14;
// }
if (fDebugFlag) cout << "Ioniza. time = " << ionizationTime << " Phase = " << fMuonPhase << endl;
if (fDebugFlag) cout << "Ioniza. time = " << ionizationTime << " PolX = " << complexPolX.Re() << endl;
if (eventTime < fMuonDecayTime)
fMuonPhase += PrecessionPhase(ionizationTime, "Mu0");
complexPolX *= GTFunction(ionizationTime, "Mu0");
else{ //muon decays; handle precession prior to muon decay
eventDiffTime = fMuonDecayTime - (eventTime - ionizationTime);
fMuonPhase += PrecessionPhase(eventDiffTime, "Mu0");
complexPolX *= GTFunction(eventDiffTime, "Mu0");
break;
}
}
else{
// Mu0 as initial state; get next ionization time
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){
// if (fRandom->Rndm() <= 0.5)
// muoniumPrecessionFreq = fMuPrecFreq12;
// else
// muoniumPrecessionFreq = fMuPrecFreq34;
// }
// else{
// if (fRandom->Rndm() <= 0.5)
// muoniumPrecessionFreq = fMuPrecFreq23;
// else
// muoniumPrecessionFreq = fMuPrecFreq14;
// }
if (fDebugFlag)
cout << "Mu Ioniza. time = " << ionizationTime << " Phase = " << fMuonPhase << endl;
cout << "Mu Ioniza. time = " << ionizationTime << " PolX = " << complexPolX.Re() << endl;
if (eventTime < fMuonDecayTime)
fMuonPhase += PrecessionPhase(ionizationTime, "Mu0");
complexPolX *= GTFunction(ionizationTime, "Mu0");
else{ //muon decays; handle precession prior to muon decay
eventDiffTime = fMuonDecayTime - (eventTime - ionizationTime);
fMuonPhase += PrecessionPhase(eventDiffTime, "Mu0");
complexPolX *= GTFunction(eventDiffTime, "Mu0");
break;
}
// Mu+ state; get next electron capture time
captureTime = NextEventTime(fCaptureRate);
eventTime += captureTime;
if (fDebugFlag) cout << "Capture time = " << captureTime << " Phase = " << fMuonPhase << endl;
if (fDebugFlag) cout << "Capture time = " << captureTime << " PolX = " << complexPolX.Re() << endl;
if (eventTime < fMuonDecayTime)
fMuonPhase += PrecessionPhase(captureTime, "Mu+");
complexPolX *= GTFunction(captureTime, "Mu+");
else{ //muon decays; handle precession prior to muon decay
eventDiffTime = fMuonDecayTime - (eventTime - captureTime);
fMuonPhase += PrecessionPhase(eventDiffTime, "Mu+");
complexPolX *= GTFunction(eventDiffTime, "Mu+");
break;
}
}
}
muoniumPolX = complexPolX.Re();
if (fDebugFlag) cout << " Final PolX = " << muoniumPolX << endl;
if (fDebugFlag) cout << " Final Phase = " << fMuonPhase << endl;
//fMuonPhase = TMath::ACos(TMath::Cos(fMuonPhase))*360./TMath::TwoPi(); //transform back to [0, 180] degree interval
return;
return muoniumPolX;
}

15
src/tests/MuTransition/PSimulateMuTransition.h
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@ -60,7 +60,9 @@ class PSimulateMuTransition : public TObject
virtual void SetDecayAsymmetry(Double_t value){ fAsymmetry = value; } //!< muon decay asymmetry
virtual void SetMuFraction(Double_t value){ fMuFraction = value; } //!< Muonium fraction
virtual void SetMuFractionState12(Double_t value){ fMuFractionState12 = value; }
virtual void SetMuFractionState34(Double_t value){ fMuFractionState34 = value; }
virtual void SetMuFractionState23(Double_t value){ fMuFractionState23 = value; }
virtual void SetMuFractionState14(Double_t value){ fMuFractionState14 = value; }
virtual Bool_t IsValid() { return fValid; }
virtual void SetSeed(UInt_t seed);
@ -88,17 +90,18 @@ class PSimulateMuTransition : public TObject
Double_t fMuonPhase; //!< phase of muon spin
Double_t fAsymmetry; //!< muon decay asymmetry
Double_t fMuFraction; //!< total Mu fraction [0,1]
Double_t fMuFractionState12; //!< fraction of Mu in state 12, 34
Double_t fMuFractionState23; //!< fraction of Mu in state 23, 14
Double_t fMuFractionState12; //!< fraction of Mu in state 12
Double_t fMuFractionState34; //!< fraction of Mu in state 34
Double_t fMuFractionState23; //!< fraction of Mu in state 23
Double_t fMuFractionState14; //!< fraction of Mu in state 14
Int_t fNmuons; //!< number of muons to simulate
Bool_t fDebugFlag; //!< debug flag
virtual Double_t NextEventTime(const Double_t &EventRate);
// virtual Double_t PrecessionPhase(const Double_t &time, const Double_t &frequency);
virtual Double_t PrecessionPhase(const Double_t &time, const TString chargeState);
virtual TComplex GTFunction(const Double_t &time); //!< transverse field polarization function of Mu0
// virtual Double_t PrecessionPhase(const Double_t &time, const TString chargeState);
virtual TComplex GTFunction(const Double_t &time, const TString chargeState); //!< transverse field polarization function of Mu0 or Mu+
virtual Double_t GTSpinFlip(const Double_t &time); //!< transverse field polarization function after spin-flip collisions
virtual void Event(const TString muonString);
virtual Double_t Event(const TString muonString);
ClassDef(PSimulateMuTransition, 0)
};

17
src/tests/MuTransition/runMuSimulation.C
View File

@ -65,10 +65,13 @@ void runMuSimulation()
Double_t Freq23 = 256.245; //Mu freq of the 23 transition
Double_t Freq14 = 356.245; //Mu freq of the 14 transition
Double_t MuFrac = 1.0; //total Mu fraction
Double_t MuFrac12 = 2*0.487; //Mu in states 12 and 34
Double_t MuFrac23 = 2*0.013; //Mu in states 23 and 14
Double_t MuFrac12 = 0.487; //weight of transition 12
Double_t MuFrac34 = 0.487; //weight of transition 34
Double_t MuFrac23 = 0.013; //weight of transition 23
Double_t MuFrac14 = 0.013; //weight of transition 14
Int_t Nmuons = 5e6; //number of muons
Double_t Asym = 0.27; //muon decay asymmetry
Int_t debugFlag = 0; //print debug information on screen
histogramFileName = TString("0");
histogramFileName += runNo;
@ -89,15 +92,17 @@ void runMuSimulation()
simulateMuTransition->SetMuPrecFreq23(Freq23); // MHz
simulateMuTransition->SetMuPrecFreq14(Freq14); // MHz
simulateMuTransition->SetMuFraction(MuFrac); // initial Mu fraction
simulateMuTransition->SetMuFractionState12(MuFrac12); // Mu in states 12, 34
simulateMuTransition->SetMuFractionState23(MuFrac23); // Mu in states 23, 14
simulateMuTransition->SetMuFractionState12(MuFrac12);
simulateMuTransition->SetMuFractionState34(MuFrac34);
simulateMuTransition->SetMuFractionState23(MuFrac23);
simulateMuTransition->SetMuFractionState14(MuFrac14);
simulateMuTransition->SetBfield(B/10000.); // Tesla
simulateMuTransition->SetCaptureRate(capRate); // MHz
simulateMuTransition->SetIonizationRate(ionRate); // MHz
simulateMuTransition->SetSpinFlipRate(spinFlipRate); // MHz
simulateMuTransition->SetNmuons(Nmuons);
simulateMuTransition->SetDecayAsymmetry(Asym);
simulateMuTransition->SetDebugFlag(kFALSE); // to print time and phase during charge-changing cycle
simulateMuTransition->SetDebugFlag(debugFlag); // to print time and phase during charge-changing cycle
// feed run info header
gRunHeader = gROOT->GetRootFolder()->AddFolder("RunHeader", "MuTransition Simulation Header Info");
@ -168,7 +173,9 @@ void runMuSimulation()
header->Set("Simulation/Mu0 Precession frequency 14", Freq14);
header->Set("Simulation/Mu0 Fraction", MuFrac);
header->Set("Simulation/Mu0 Fraction 12", MuFrac12);
header->Set("Simulation/Mu0 Fraction 34", MuFrac34);
header->Set("Simulation/Mu0 Fraction 23", MuFrac23);
header->Set("Simulation/Mu0 Fraction 14", MuFrac14);
header->Set("Simulation/muon Capture Rate", capRate);
header->Set("Simulation/Mu0 Ionization Rate", ionRate);
header->Set("Simulation/Mu0 Spin Flip Rate", spinFlipRate);