#include <SpinorBarWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::SpinorBarWaveFunction:

Standard constructors and destructors.
LorentzSpinorBar< double >	_wf
	Storage of the Lorentz SpinorBar wavefunction.

	SpinorBarWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, complex< double > s1, complex< double > s2, complex< double > s3, complex< double > s4)
	Constructor, set the momentum and the components of the spinor.

	SpinorBarWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, const LorentzSpinorBar< double > &wave, Direction dir=intermediate)
	Constructor, set the momentum and the wavefunction.

	SpinorBarWaveFunction (const tPPtr &p, const LorentzSpinorBar< SqrtEnergy > &wave, Direction dir=intermediate)

	SpinorBarWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, unsigned int ihel, Direction dir)
	Constructor, set the momentum, helicity, direction.

	SpinorBarWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, Direction dir)
	Constructor, set the momentum, direction, zero the wavefunction.

	SpinorBarWaveFunction ()
	Default constructor.

	SpinorBarWaveFunction (vector< SpinorBarWaveFunction > &wave, tPPtr part, Direction dir, bool time, bool=true)
	Special for spin correlations.

complex< double >	operator() (int i) const
	Access to the wavefunction and its components.

const LorentzSpinorBar< double > &	wave () const
	Return wavefunction as LorentzSpinorBar<double>.

LorentzSpinorBar< SqrtEnergy >	dimensionedWave () const
	Return wavefunction as LorentzSpinorBar<SqrtEnergy>

complex< double >	s1 () const
	Get the first spin component component.

complex< double >	s2 () const
	Get the second spin component component.

complex< double >	s3 () const
	Get the third spin component component.

complex< double >	s4 () const
	Get the fourth spin component component.

void	conjugate ()
	Take the conjugate of the spinor \(u_c=C\bar{u}^T\).

SpinorWaveFunction	bar ()
	Return the barred spinor.

void	reset (unsigned int ihel)
	Reset functions.

void	transform (const LorentzRotation &r)
	Perform the Lorentz transformation of the wave function.

void	calculateWaveFunction (unsigned int ihel)
	Calcuate the wavefunction.

LorentzSpinorBar< SqrtEnergy >	dimensionedWf () const
	Return wavefunction as LorentzSpinorBar<SqrtEnergy>

static void	calculateWaveFunctions (vector< LorentzSpinorBar< SqrtEnergy > > &waves, tPPtr particle, Direction)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< SpinorBarWaveFunction > &waves, tPPtr particle, Direction)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< SpinorBarWaveFunction > &waves, const Lorentz5Momentum &momentum, tcPDPtr parton, Direction)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< LorentzSpinorBar< SqrtEnergy > > &waves, RhoDMatrix &rho, tPPtr particle, Direction)
	Calculate the wavefunctions.

static void	calculateWaveFunctions (vector< SpinorBarWaveFunction > &waves, RhoDMatrix &rho, tPPtr particle, Direction)
	Calculate the wavefunctions.

static void	constructSpinInfo (const vector< LorentzSpinorBar< SqrtEnergy > > &waves, tPPtr part, Direction dir, bool time)
	Construct the SpinInfo object.

static void	constructSpinInfo (const vector< SpinorBarWaveFunction > &waves, tPPtr part, Direction dir, bool time)
	Construct the SpinInfo object.

Additional Inherited Members
Public Member Functions inherited from ThePEG::Helicity::WaveFunctionBase
	WaveFunctionBase ()
	Constructors.

	WaveFunctionBase (const Lorentz5Momentum &p, tcPDPtr pd, Direction dir=intermediate)

Energy	px () const
	Access to the momentum components and mass.

Energy	py () const
	Get the y component of the momentum.

Energy	pz () const
	Get the z component of the momentum.

Energy	e () const
	Get the energy.

Energy	mass () const
	Get the mass.

Energy2	m2 () const
	Get off-shell mass squared.

const Lorentz5Momentum &	momentum () const
	Access to the 5-momentum.

long	id () const
	Access to the particle properties.

PDT::Spin	iSpin () const
	Get 2s+1 for the particle.

tcPDPtr	particle () const
	Get the particle pointer.

ThePEG::Helicity::Direction	direction () const
	Get the direction of particle.

void	direction (ThePEG::Helicity::Direction in)
	Set the direction of the particle.

Protected Member Functions inherited from ThePEG::Helicity::WaveFunctionBase
void	transformMomentum (const LorentzRotation &r)
	Perform the Lorentz transformation of the wave function.

Detailed Description

Author: Peter Richardson

The SpinorBarWaveFunction class is designed to store the wavefunction of a barred spinor in a form suitable for use in helicity amplitude calculations of the matrix element using a similar philosophy to the FORTRAN HELAS code.

In addition to storing the spinor using the LorentzSpinorBar class it inherits from the WaveFunctionBase class to provide storage of the momentum and ParticleData for the fermion.

This class also contains the code which does the actually calculation of the barred spinor for an external particle.

When calculating the wavefunction the direction of the particle is used,

i.e.

incoming calculates a \(\bar{v}\) spinor.
outgoing calculates a \(\bar{u}\) spinor.

N.B. In our convention 0 is the \(-\frac12\) helicity state and 1 is the \(+\frac12\) helicity state

See also: WaveFunctionBase; LorentzSpinorBar; HelicityDefinitions

Definition at line 57 of file SpinorBarWaveFunction.h.

Constructor & Destructor Documentation

◆ SpinorBarWaveFunction() [1/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		complex< double >	s1,
		complex< double >	s2,
		complex< double >	s3,
		complex< double >	s4
	)

inline

Constructor, set the momentum and the components of the spinor.

Parameters

p	The momentum.
part	The ParticleData pointer.
s1	The first component
s2	The second component
s3	The third component
s4	The fourth component

Definition at line 72 of file SpinorBarWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin().

◆ SpinorBarWaveFunction() [2/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		const LorentzSpinorBar< double > &	wave,
		Direction	dir = `intermediate`
	)

inline

Constructor, set the momentum and the wavefunction.

Parameters

p	The momentum.
part	The ParticleData pointer.
wave	The wavefunction.
dir	The direction of the particle

Definition at line 88 of file SpinorBarWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin().

◆ SpinorBarWaveFunction() [3/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction	(	const tPPtr &	p,
		const LorentzSpinorBar< SqrtEnergy > &	wave,
		Direction	dir = `intermediate`
	)

inline

Definition at line 96 of file SpinorBarWaveFunction.h.

◆ SpinorBarWaveFunction() [4/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		unsigned int	ihel,
		Direction	dir
	)

inline

Constructor, set the momentum, helicity, direction.

Parameters

p	The momentum.
part	The ParticleData pointer.
ihel	The helicity (0,1 as described above.)
dir	The direction.

Definition at line 114 of file SpinorBarWaveFunction.h.

References calculateWaveFunction(), and ThePEG::Helicity::WaveFunctionBase::iSpin().

◆ SpinorBarWaveFunction() [5/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		Direction	dir
	)

inline

Constructor, set the momentum, direction, zero the wavefunction.

Parameters

p	The momentum.
part	The ParticleData pointer.
dir	The direction.

Definition at line 129 of file SpinorBarWaveFunction.h.

References ThePEG::Helicity::WaveFunctionBase::iSpin().

◆ SpinorBarWaveFunction() [6/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction ( )

inline

Default constructor.

Definition at line 139 of file SpinorBarWaveFunction.h.

◆ SpinorBarWaveFunction() [7/7]

ThePEG::Helicity::SpinorBarWaveFunction::SpinorBarWaveFunction	(	vector< SpinorBarWaveFunction > &	wave,
		tPPtr	part,
		Direction	dir,
		bool	time,
		bool	= `true`
	)

inline

Special for spin correlations.

Definition at line 146 of file SpinorBarWaveFunction.h.

References calculateWaveFunctions(), constructSpinInfo(), and wave().

Member Function Documentation

◆ calculateWaveFunction()

void ThePEG::Helicity::SpinorBarWaveFunction::calculateWaveFunction ( unsigned int ihel )

private

Calcuate the wavefunction.

Parameters

ihel	The helicity (0,1 as described above.)

Referenced by reset(), and SpinorBarWaveFunction().

◆ conjugate()

void ThePEG::Helicity::SpinorBarWaveFunction::conjugate ( )

Take the conjugate of the spinor \(u_c=C\bar{u}^T\).

This operation transforms u-spinors to v-spinors and vice-versa and is required when dealing with majorana particles.

◆ dimensionedWave()

LorentzSpinorBar< SqrtEnergy > ThePEG::Helicity::SpinorBarWaveFunction::dimensionedWave ( ) const

inline

Return wavefunction as LorentzSpinorBar<SqrtEnergy>

Definition at line 171 of file SpinorBarWaveFunction.h.

References dimensionedWf().

◆ dimensionedWf()

LorentzSpinorBar< SqrtEnergy > ThePEG::Helicity::SpinorBarWaveFunction::dimensionedWf ( ) const

inlineprivate

Return wavefunction as LorentzSpinorBar<SqrtEnergy>

Definition at line 294 of file SpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinorBar< Value >::Type().

Referenced by dimensionedWave().

◆ operator()()

complex< double > ThePEG::Helicity::SpinorBarWaveFunction::operator() ( int i ) const

inline

Access to the wavefunction and its components.

Subscript operator for the wavefunction.

Definition at line 160 of file SpinorBarWaveFunction.h.

References _wf.

◆ reset()

void ThePEG::Helicity::SpinorBarWaveFunction::reset ( unsigned int ihel )

inline

Reset functions.

Reset the helicity (calculates the new spinor).

Parameters

ihel	The helicity (0,1 as described above.)

Definition at line 215 of file SpinorBarWaveFunction.h.

References calculateWaveFunction().

◆ s1()

complex< double > ThePEG::Helicity::SpinorBarWaveFunction::s1 ( ) const

inline

Get the first spin component component.

Definition at line 178 of file SpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinorBar< Value >::s1().

◆ s2()

complex< double > ThePEG::Helicity::SpinorBarWaveFunction::s2 ( ) const

inline

Get the second spin component component.

Definition at line 183 of file SpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinorBar< Value >::s2().

◆ s3()

complex< double > ThePEG::Helicity::SpinorBarWaveFunction::s3 ( ) const

inline

Get the third spin component component.

Definition at line 188 of file SpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinorBar< Value >::s3().

◆ s4()

complex< double > ThePEG::Helicity::SpinorBarWaveFunction::s4 ( ) const

inline

Get the fourth spin component component.

Definition at line 193 of file SpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinorBar< Value >::s4().

◆ transform()

void ThePEG::Helicity::SpinorBarWaveFunction::transform ( const LorentzRotation & r )

inline

Perform the Lorentz transformation of the wave function.

Definition at line 234 of file SpinorBarWaveFunction.h.

References _wf, ThePEG::Helicity::LorentzSpinorBar< Value >::transform(), and ThePEG::Helicity::WaveFunctionBase::transformMomentum().

◆ wave()

const LorentzSpinorBar< double > & ThePEG::Helicity::SpinorBarWaveFunction::wave ( ) const

inline

Return wavefunction as LorentzSpinorBar<double>.

Definition at line 168 of file SpinorBarWaveFunction.h.

References _wf.

Referenced by SpinorBarWaveFunction().

Member Data Documentation

◆ _wf

LorentzSpinorBar<double> ThePEG::Helicity::SpinorBarWaveFunction::_wf

private

Storage of the Lorentz SpinorBar wavefunction.

Definition at line 291 of file SpinorBarWaveFunction.h.

Referenced by dimensionedWf(), operator()(), s1(), s2(), s3(), s4(), transform(), and wave().

The documentation for this class was generated from the following file:

SpinorBarWaveFunction.h

Standard constructors and destructors.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SpinorBarWaveFunction() [1/7]

◆ SpinorBarWaveFunction() [2/7]

◆ SpinorBarWaveFunction() [3/7]

◆ SpinorBarWaveFunction() [4/7]

◆ SpinorBarWaveFunction() [5/7]

◆ SpinorBarWaveFunction() [6/7]

◆ SpinorBarWaveFunction() [7/7]

Member Function Documentation

◆ calculateWaveFunction()

◆ conjugate()

◆ dimensionedWave()

◆ dimensionedWf()

◆ operator()()

◆ reset()

◆ s1()

◆ s2()

◆ s3()

◆ s4()

◆ transform()

◆ wave()

Member Data Documentation

◆ _wf