#include <SpinorWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::SpinorWaveFunction:

Standard constructors and destructors.
LorentzSpinor< double >	_wf
	Storage of the Lorentz Spinor.

	SpinorWaveFunction (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.

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

	SpinorWaveFunction (const tPPtr &p, const LorentzSpinor< SqrtEnergy > &wave, Direction dir=intermediate)
	Constructor, set the momentum and the wavefunction.

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

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

	SpinorWaveFunction ()
	Default constructor.

	SpinorWaveFunction (vector< SpinorWaveFunction > &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 LorentzSpinor< double > &	wave () const
	Return wavefunction as LorentzSpinor<double>.

LorentzSpinor< SqrtEnergy >	dimensionedWave () const
	Return wavefunction as LorentzSpinor<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 \(u_c=C\bar{u}^T\).

SpinorBarWaveFunction	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.

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

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

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

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

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

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

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

void	calculateWaveFunction (unsigned int ihel)
	Calcuate the wavefunction.

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

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 SpinorWaveFunction class is designed to store the wavefunction of a 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 LorentzSpinor class it inherits from the WaveFunctionBase class to provide storage of the momentum and getParticleData for the fermion.

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

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

i.e.

incoming calculates a \(u\) spinor.
outgoing calculates a \(v\) spinor.

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

See also: WaveFunctionBase; LorentzSpinor; HelicityDefinitions

Definition at line 56 of file SpinorWaveFunction.h.

Constructor & Destructor Documentation

◆ SpinorWaveFunction() [1/7]

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	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 71 of file SpinorWaveFunction.h.

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

◆ SpinorWaveFunction() [2/7]

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		const LorentzSpinor< 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 85 of file SpinorWaveFunction.h.

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

◆ SpinorWaveFunction() [3/7]

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

inline

Constructor, set the momentum and the wavefunction.

Parameters

p	The particle
wave	The wavefunction.
dir	The direction of the particle

Definition at line 99 of file SpinorWaveFunction.h.

References _wf, ThePEG::Helicity::WaveFunctionBase::iSpin(), and wave().

◆ SpinorWaveFunction() [4/7]

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	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 115 of file SpinorWaveFunction.h.

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

◆ SpinorWaveFunction() [5/7]

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction	(	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 131 of file SpinorWaveFunction.h.

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

◆ SpinorWaveFunction() [6/7]

ThePEG::Helicity::SpinorWaveFunction::SpinorWaveFunction ( )

inline

Default constructor.

Definition at line 141 of file SpinorWaveFunction.h.

◆ SpinorWaveFunction() [7/7]

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

inline

Special for spin correlations.

Definition at line 148 of file SpinorWaveFunction.h.

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

Member Function Documentation

◆ calculateWaveFunction()

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

private

Calcuate the wavefunction.

Parameters

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

Referenced by reset(), and SpinorWaveFunction().

◆ conjugate()

void ThePEG::Helicity::SpinorWaveFunction::conjugate ( )

inline

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.

Definition at line 203 of file SpinorWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzSpinor< Value >::conjugate().

◆ dimensionedWave()

LorentzSpinor< SqrtEnergy > ThePEG::Helicity::SpinorWaveFunction::dimensionedWave ( ) const

inline

Return wavefunction as LorentzSpinor<SqrtEnergy>.

Definition at line 175 of file SpinorWaveFunction.h.

References dimensionedWf().

◆ dimensionedWf()

LorentzSpinor< SqrtEnergy > ThePEG::Helicity::SpinorWaveFunction::dimensionedWf ( ) const

inlineprivate

Return wavefunction as LorentzSpinor<SqrtEnergy>

Definition at line 299 of file SpinorWaveFunction.h.

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

Referenced by dimensionedWave().

◆ operator()()

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

inline

Access to the wavefunction and its components.

Subscript operator for the wavefunction.

Definition at line 162 of file SpinorWaveFunction.h.

References _wf.

◆ reset()

void ThePEG::Helicity::SpinorWaveFunction::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 220 of file SpinorWaveFunction.h.

References calculateWaveFunction().

◆ s1()

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

inline

Get the first spin component component.

Definition at line 180 of file SpinorWaveFunction.h.

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

◆ s2()

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

inline

Get the second spin component component.

Definition at line 185 of file SpinorWaveFunction.h.

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

◆ s3()

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

inline

Get the third spin component component.

Definition at line 190 of file SpinorWaveFunction.h.

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

◆ s4()

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

inline

Get the fourth spin component component.

Definition at line 195 of file SpinorWaveFunction.h.

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

◆ transform()

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

inline

Perform the Lorentz transformation of the wave function.

Definition at line 230 of file SpinorWaveFunction.h.

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

◆ wave()

const LorentzSpinor< double > & ThePEG::Helicity::SpinorWaveFunction::wave ( ) const

inline

Return wavefunction as LorentzSpinor<double>.

Definition at line 170 of file SpinorWaveFunction.h.

References _wf.

Referenced by SpinorWaveFunction().

Member Data Documentation

◆ _wf

LorentzSpinor<double> ThePEG::Helicity::SpinorWaveFunction::_wf

private

Storage of the Lorentz Spinor.

Definition at line 296 of file SpinorWaveFunction.h.

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

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

SpinorWaveFunction.h

Standard constructors and destructors.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SpinorWaveFunction() [1/7]

◆ SpinorWaveFunction() [2/7]

◆ SpinorWaveFunction() [3/7]

◆ SpinorWaveFunction() [4/7]

◆ SpinorWaveFunction() [5/7]

◆ SpinorWaveFunction() [6/7]

◆ SpinorWaveFunction() [7/7]

Member Function Documentation

◆ calculateWaveFunction()

◆ conjugate()

◆ dimensionedWave()

◆ dimensionedWf()

◆ operator()()

◆ reset()

◆ s1()

◆ s2()

◆ s3()

◆ s4()

◆ transform()

◆ wave()

Member Data Documentation

◆ _wf