Differential cross section for v+As coherent elastic scattering. Is a concrete implementation of the XSecAlgorithmI interface. More...

#include <PattonCEvNSPXSec.h>

Inheritance diagram for genie::PattonCEvNSPXSec:

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Collaboration diagram for genie::PattonCEvNSPXSec:

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Public Member Functions
	PattonCEvNSPXSec ()

	PattonCEvNSPXSec (string config)

virtual	~PattonCEvNSPXSec ()

double	XSec (const Interaction *i, KinePhaseSpace_t k) const
	Compute the cross section for the input interaction. More...

double	Integral (const Interaction *i) const

bool	ValidProcess (const Interaction *i) const
	Can this cross section algorithm handle the input process? More...

void	Configure (const Registry &config)

void	Configure (string param_set)

Public Member Functions inherited from genie::XSecAlgorithmI
virtual	~XSecAlgorithmI ()

virtual bool	ValidKinematics (const Interaction *i) const
	Is the input kinematical point a physically allowed one? More...

Public Member Functions inherited from genie::Algorithm
virtual	~Algorithm ()

virtual void	FindConfig (void)

virtual const Registry &	GetConfig (void) const

Registry *	GetOwnedConfig (void)

virtual const AlgId &	Id (void) const
	Get algorithm ID. More...

virtual AlgStatus_t	GetStatus (void) const
	Get algorithm status. More...

virtual bool	AllowReconfig (void) const

virtual AlgCmp_t	Compare (const Algorithm *alg) const
	Compare with input algorithm. More...

virtual void	SetId (const AlgId &id)
	Set algorithm ID. More...

virtual void	SetId (string name, string config)

const Algorithm *	SubAlg (const RgKey &registry_key) const

void	AdoptConfig (void)

void	AdoptSubstructure (void)

virtual void	Print (ostream &stream) const
	Print algorithm info. More...

Private Member Functions
void	LoadConfig (void)

double	NuclearDensityMoment (int A, int k) const

Private Attributes
const XSecIntegratorI *	fXSecIntegrator
	cross section integrator More...

double	fSin2thw
	sin^2(weinberg angle) More...

double	fNuclDensMomentCalc_UpperIntegrationLimit

double	fNuclDensMomentCalc_RelativeTolerance

double	fNuclDensMomentCalc_AbsoluteTolerance

int	fNuclDensMomentCalc_MaxNumOfEvaluations

Additional Inherited Members
Static Public Member Functions inherited from genie::Algorithm
static string	BuildParamVectKey (const std::string &comm_name, unsigned int i)

static string	BuildParamVectSizeKey (const std::string &comm_name)

static string	BuildParamMatKey (const std::string &comm_name, unsigned int i, unsigned int j)

static string	BuildParamMatRowSizeKey (const std::string &comm_name)

static string	BuildParamMatColSizeKey (const std::string &comm_name)

Protected Member Functions inherited from genie::XSecAlgorithmI
	XSecAlgorithmI ()

	XSecAlgorithmI (string name)

	XSecAlgorithmI (string name, string config)

Protected Member Functions inherited from genie::Algorithm
	Algorithm ()

	Algorithm (string name)

	Algorithm (string name, string config)

void	Initialize (void)

void	DeleteConfig (void)

void	DeleteSubstructure (void)

Registry *	ExtractLocalConfig (const Registry &in) const

Registry *	ExtractLowerConfig (const Registry &in, const string &alg_key) const
	Split an incoming configuration Registry into a block valid for the sub-algo identified by alg_key. More...

template<class T >
bool	GetParam (const RgKey &name, T &p, bool is_top_call=true) const

template<class T >
bool	GetParamDef (const RgKey &name, T &p, const T &def) const

template<class T >
int	GetParamVect (const std::string &comm_name, std::vector< T > &v, bool is_top_call=true) const
	Handle to load vectors of parameters. More...

int	GetParamVectKeys (const std::string &comm_name, std::vector< RgKey > &k, bool is_top_call=true) const

template<class T >
int	GetParamMat (const std::string &comm_name, TMatrixT< T > &mat, bool is_top_call=true) const
	Handle to load matrix of parameters. More...

template<class T >
int	GetParamMatSym (const std::string &comm_name, TMatrixTSym< T > &mat, bool is_top_call=true) const

int	GetParamMatKeys (const std::string &comm_name, std::vector< RgKey > &k, bool is_top_call=true) const

int	AddTopRegistry (Registry *rp, bool owns=true)
	add registry with top priority, also update ownership More...

int	AddLowRegistry (Registry *rp, bool owns=true)
	add registry with lowest priority, also update ownership More...

int	MergeTopRegistry (const Registry &r)

int	AddTopRegisties (const vector< Registry * > &rs, bool owns=false)
	Add registries with top priority, also udated Ownerships. More...

Protected Attributes inherited from genie::Algorithm
bool	fAllowReconfig

bool	fOwnsSubstruc
	true if it owns its substructure (sub-algs,...) More...

AlgId	fID
	algorithm name and configuration set More...

vector< Registry * >	fConfVect

vector< bool >	fOwnerships
	ownership for every registry in fConfVect More...

AlgStatus_t	fStatus
	algorithm execution status More...

AlgMap *	fOwnedSubAlgMp
	local pool for owned sub-algs (taken out of the factory pool) More...

Detailed Description

Differential cross section for v+As coherent elastic scattering. Is a concrete implementation of the XSecAlgorithmI interface.

References:: K.Patton, J.Engel, G.McLaughlin, and N.Schunck, arXiv:1207.0693v1

Author: Costas Andreopoulos <c.andreopoulos cern.ch> University of Liverpool

Created:: July 12, 2019

License:: Copyright (c) 2003-2024, The GENIE Collaboration For the full text of the license visit http://copyright.genie-mc.org

Definition at line 30 of file PattonCEvNSPXSec.h.

Constructor & Destructor Documentation

PattonCEvNSPXSec::PattonCEvNSPXSec ( )

Definition at line 34 of file PattonCEvNSPXSec.cxx.

                                    :
 XSecAlgorithmI("genie::PattonCEvNSPXSec")
 {
 
 }

PattonCEvNSPXSec::PattonCEvNSPXSec ( string config )

Definition at line 40 of file PattonCEvNSPXSec.cxx.

                                                 :
 XSecAlgorithmI("genie::PattonCEvNSPXSec", config)
 {
 
 }

PattonCEvNSPXSec::~PattonCEvNSPXSec ( )

virtual

Definition at line 46 of file PattonCEvNSPXSec.cxx.

 {
 
 }

Member Function Documentation

void PattonCEvNSPXSec::Configure ( const Registry & config )

virtual

Configure the algorithm with an external registry The registry is merged with the top level registry if it is owned, Otherwise a copy of it is added with the highest priority

Reimplemented from genie::Algorithm.

Definition at line 209 of file PattonCEvNSPXSec.cxx.

References genie::Algorithm::Configure(), and LoadConfig().

 {
   Algorithm::Configure(config);
   this->LoadConfig();
 }

void PattonCEvNSPXSec::Configure ( string config )

virtual

Configure the algorithm from the AlgoConfigPool based on param_set string given in input An algorithm contains a vector of registries coming from different xml configuration files, which are loaded according a very precise prioriy This methods will load a number registries in order of priority: 1) "Tunable" parameter set from CommonParametes. This is loaded with the highest prioriry and it is designed to be used for tuning procedure Usage not expected from the user. 2) For every string defined in "CommonParame" the corresponding parameter set will be loaded from CommonParameter.xml 3) parameter set specified by the config string and defined in the xml file of the algorithm 4) if config is not "Default" also the Default parameter set from the same xml file will be loaded Effectively this avoids the repetion of a parameter when it is not changed in the requested configuration

Reimplemented from genie::Algorithm.

Definition at line 215 of file PattonCEvNSPXSec.cxx.

References genie::Algorithm::Configure(), and LoadConfig().

 {
   Algorithm::Configure(config);
   this->LoadConfig();
 }

double PattonCEvNSPXSec::Integral ( const Interaction * i ) const

virtual

Integrate the model over the kinematic phase space available to the input interaction (kinematical cuts can be included)

Implements genie::XSecAlgorithmI.

Definition at line 189 of file PattonCEvNSPXSec.cxx.

References fXSecIntegrator, and genie::XSecIntegratorI::Integrate().

 {
   double xsec = fXSecIntegrator->Integrate(this,interaction);
   return xsec;
 }

void PattonCEvNSPXSec::LoadConfig ( void )

private

Definition at line 221 of file PattonCEvNSPXSec.cxx.

References fNuclDensMomentCalc_AbsoluteTolerance, fNuclDensMomentCalc_MaxNumOfEvaluations, fNuclDensMomentCalc_RelativeTolerance, fNuclDensMomentCalc_UpperIntegrationLimit, fSin2thw, fXSecIntegrator, genie::Algorithm::GetParam(), genie::Algorithm::GetParamDef(), and genie::Algorithm::SubAlg().

Referenced by Configure().

 {
   double thw = 0.;
   this->GetParam("WeinbergAngle", thw);
   fSin2thw = TMath::Power(TMath::Sin(thw), 2.);
 
   this->GetParamDef(
           "nuclear-density-moment-gsl-upper-limit",
           fNuclDensMomentCalc_UpperIntegrationLimit,
           10.);  // in nuclear radii
   this->GetParamDef(
           "nuclear-density-moment-gsl-rel-tol",
           fNuclDensMomentCalc_RelativeTolerance,
           1E-3);
   this->GetParamDef(
           "nuclear-density-moment-gsl-abs-tol",
           fNuclDensMomentCalc_AbsoluteTolerance,
           1.);
   this->GetParamDef(
           "nuclear-density-moment-gsl-max-eval",
           fNuclDensMomentCalc_MaxNumOfEvaluations,
           10000);
 
   fXSecIntegrator =
       dynamic_cast<const XSecIntegratorI *> (this->SubAlg("XSec-Integrator"));
   assert(fXSecIntegrator);
 }

double PattonCEvNSPXSec::NuclearDensityMoment	(	int	A,
		int	k
	)		const

private

Definition at line 154 of file PattonCEvNSPXSec.cxx.

References fNuclDensMomentCalc_AbsoluteTolerance, fNuclDensMomentCalc_MaxNumOfEvaluations, fNuclDensMomentCalc_RelativeTolerance, fNuclDensMomentCalc_UpperIntegrationLimit, genie::utils::gsl::Integration1DimTypeFromString(), genie::constants::kPi, and genie::utils::nuclear::Radius().

Referenced by XSec().

 {
   // Calculate moments of the nuclear density
   // Inputs:
   //   - atomic mass number, A
   //   - integer k specifying required nuclear density moment
   // Output:
   //   - nuclear density moment in units of fm^k
   //
   // THINGS TO DO:
   // 1) The calculation can be stored, as it is required only once per nucleus.
   //    The calculation is very fast so it doesn't matter.
 
   ROOT::Math::IBaseFunctionOneDim * integrand = new
               utils::gsl::wrap::NuclDensityMomentIntegrand(A,k);
 
   ROOT::Math::IntegrationOneDim::Type ig_type =
           utils::gsl::Integration1DimTypeFromString("adaptive");
 
   double R0 = utils::nuclear::Radius(A); // units: fm
   double rmin = 0; // units: fm
   double rmax = fNuclDensMomentCalc_UpperIntegrationLimit * R0; // units: fm
 
   ROOT::Math::Integrator ig(
     *integrand,ig_type,
     fNuclDensMomentCalc_AbsoluteTolerance,
     fNuclDensMomentCalc_RelativeTolerance,
     fNuclDensMomentCalc_MaxNumOfEvaluations);
   double moment = 2 * constants::kPi * ig.Integral(rmin, rmax); // units: fm^k
 
   delete integrand;
 
   return moment;
 }

bool PattonCEvNSPXSec::ValidProcess ( const Interaction * i ) const

virtual

Can this cross section algorithm handle the input process?

Implements genie::XSecAlgorithmI.

Definition at line 195 of file PattonCEvNSPXSec.cxx.

References genie::Interaction::InitState(), genie::ProcessInfo::IsCoherentElastic(), genie::Target::IsNucleus(), genie::kISkipProcessChk, genie::Interaction::ProcInfo(), and genie::InitialState::Tgt().

Referenced by XSec().

 {
   if(interaction->TestBit(kISkipProcessChk)) return true;
 
   const ProcessInfo & proc_info = interaction->ProcInfo();
   if(!proc_info.IsCoherentElastic()) return false;
 
   const InitialState & init_state = interaction->InitState();
   const Target & target = init_state.Tgt();
   if(!target.IsNucleus()) return false;
 
   return true;
 }

double PattonCEvNSPXSec::XSec	(	const Interaction *	i,
		KinePhaseSpace_t	k
	)		const

virtual

Compute the cross section for the input interaction.

Implements genie::XSecAlgorithmI.

Definition at line 51 of file PattonCEvNSPXSec.cxx.

References genie::units::A, genie::units::cm2, genie::PDGLibrary::Find(), genie::units::fm, fSin2thw, genie::PDGLibrary::Instance(), genie::pdg::IonPdgCode(), genie::utils::mec::J(), genie::constants::kGF2, genie::constants::kPi, genie::kPSQ2fE, genie::kPSTAfE, genie::kRfLab, LOG, genie::Target::N(), NuclearDensityMoment(), pDEBUG, pINFO, genie::InitialState::ProbeE(), genie::Kinematics::Q2(), genie::utils::kinematics::Q2(), genie::InitialState::Tgt(), genie::XSecAlgorithmI::ValidKinematics(), ValidProcess(), and genie::Target::Z().

 {
   if(! this -> ValidProcess    (interaction) ) return 0.;
   if(! this -> ValidKinematics (interaction) ) return 0.;
 
   const InitialState & init_state = interaction -> InitState();
   const Kinematics &   kinematics = interaction -> Kine();
   const Target &       target     = init_state.Tgt();
 
   // User inputs to the calculation
   double E  = init_state.ProbeE(kRfLab); // neutrino energy, units: GeV
   double Q2 = kinematics.Q2(); // momentum transfer, units: GeV^2
   int    Z  = target.Z(); // number of protons
   int    N  = target.N(); // number of nucleons
 
   // Target atomic mass number and mass calculated from inputs
   int A   = Z+N;
   int target_nucleus_pdgc = pdg::IonPdgCode(A,Z);
   double M = PDGLibrary::Instance()->Find(target_nucleus_pdgc)->Mass(); // units: GeV
   LOG("CEvNS", pDEBUG) << "M = " << M << " GeV";
 
   // Calculation of nuclear recoil kinetic energy computed from input Q2
   double TA = Q2*E / (2*E*M+Q2); // nuclear recoil kinetic energy
 
   LOG("CEvNS", pDEBUG)
     << "Q2 = " << Q2 << " GeV^2, E = " << E << " GeV "
     << "--> TA = " << TA << " GeV";
 
   // auxiliary variables
   double E2  = E*E;
   double TA2 = TA*TA;
   double Q4  = Q2*Q2;
   double Q6  = Q2*Q4;
 
   // Calculation of weak charge
   // double Qw = N - Z*(1-fSin2thw);
   // Qw^2/4 x-section factor in arXiv:1207.0693v1 not needed here.
   // 1/4 was absorbed in the constant front factor (below) and Qw^2 factor would
   // have cancelled with ignored 1/Qw factor in the form factor F.
 
   // Calculation of nuclear density moments used for the evaluation
   // of the neutron form factor
   double avg_density = this->NuclearDensityMoment(A, 0); // units:: fm^-3
   double Rn2 = this->NuclearDensityMoment(A, 2) / avg_density; // units: fm^2
   double Rn4 = this->NuclearDensityMoment(A, 4) / avg_density; // units: fm^4
   double Rn6 = this->NuclearDensityMoment(A, 6) / avg_density; // units: fm^6
 
   LOG("CEvNS", pDEBUG)
     << "Nuclear density moments:"
     << " <Rn^2> = " << Rn2 << " fm^2,"
     << " <Rn^4> = " << Rn4 << " fm^4,"
     << " <Rn^6> = " << Rn6 << " fm^6";
 
   Rn2 *= TMath::Power(units::fm, 2.); // units: GeV^-2
   Rn4 *= TMath::Power(units::fm, 4.); // units: GeV^-4
   Rn6 *= TMath::Power(units::fm, 6.); // units: GeV^-6
 
   // Calculation of proton form factor
   // Form factor is neglected since it is multiplied with a small factor 1-4sin^2(\theta_{w})
   double Fp = 0; // units: -
   // Calculation of neutron form factor
   // Using a Taylor expansion of sin(Qr) and keeping the first three terms (shown to be
   // sufficient for approximating the full Fn calculation, even for heavy nuclei)
   double Fn = N * (1 - Q2*Rn2/6. + Q4*Rn4/120. - Q6*Rn6/5040.); // units: -
   // Overall form factor
   double F  = (Fn - (1-4*fSin2thw)*Fp); // units: -
   F = TMath::Max(0.,F);
   double F2 = F*F; // units: -
 
   LOG("CEvNS", pDEBUG)
     << "Form factors: Fp = " << Fp << ", Fn = " << Fn << ", F = " << F;
 
   // dsig/dTA calculation
   double const_factor = 0.125*kGF2/kPi; // units: GeV^-4
   double kinematic_term = M * (2 - 2*TA/E + TA2/E2 - M*TA/E2); // units: GeV
   kinematic_term = TMath::Max(0., kinematic_term);
 
   LOG("CEvNS", pDEBUG)
     << "kinematic term: " << kinematic_term;
 
   double xsec = const_factor * kinematic_term * F2; // units: GeV^-3 (area/GeV)
 
   LOG("CEvNS", pINFO)
     << "dsig[vA,CEvNS]/dTA (Ev =  "
     << E << " GeV, Q2 = "<< Q2 << " GeV^2; TA = " << TA << " GeV) = "
     << xsec/(units::cm2) << " cm^2/GeV";
 
   // The algorithm computes dxsec/dTA
   // Check whether variable tranformation is needed
   if(kps!=kPSTAfE) {
     // TODO: Move the calculation in utils::kinematics
     // double J = utils::kinematics::Jacobian(interaction,kPSQ2fE,kps);
     double J = 0;
     if(kps==kPSQ2fE) {
         J = 2*E2*M / TMath::Power(2*E*M+Q2, 2.); // units: GeV^-1
     }
     xsec *= J; // units: GeV^-4 (area/GeV^2)
   }
 
   return xsec;
 }