The RSSpinorBarWaveFunction class is designed to store the wavefunction of a spin- $\frac32$ particle in a form suitable for use in helicity amplitude calculations of the matrix element using a similar philosophy to the FORTRAN HELAS code. More...

#include <RSSpinorBarWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::RSSpinorBarWaveFunction:

[legend]

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

Standard constructors and destructors.
	RSSpinorBarWaveFunction (const Lorentz5Momentum &p, tcPDPtr part, complex< double > xs1, complex< double > xs2, complex< double > xs3, complex< double > xs4, complex< double > ys1, complex< double > ys2, complex< double > ys3, complex< double > ys4, complex< double > zs1, complex< double > zs2, complex< double > zs3, complex< double > zs4, complex< double > ts1, complex< double > ts2, complex< double > ts3, complex< double > ts4)
	Constructor, set the momentum and the components of the spinor. More...

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

	RSSpinorBarWaveFunction (const tPPtr &p, const LorentzRSSpinorBar< SqrtEnergy > &wave, Direction dir=intermediate)
	Constructor, set the particle and the wavefunction. More...

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

	RSSpinorBarWaveFunction (Lorentz5Momentum p, tcPDPtr part, Direction dir)
	Constructor, set the momentum, direction, zero the wavefunction. More...

	RSSpinorBarWaveFunction ()
	Default constructor.

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


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

const LorentzRSSpinorBar< double > &	wave () const
	return wavefunction as LorentzRSSpinorBar

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

complex< double >	xs1 () const
	Get first spinor component for the x vector.

complex< double >	xs2 () const
	Get second spinor component for the x vector.

complex< double >	xs3 () const
	Get third spinor component for the x vector.

complex< double >	xs4 () const
	Get fourth spinor component for the x vector.

complex< double >	ys1 () const
	Get first spinor component for the y vector.

complex< double >	ys2 () const
	Get second spinor component for the y vector.

complex< double >	ys3 () const
	Get third spinor component for the y vector.

complex< double >	ys4 () const
	Get fourth spinor component for the y vector.

complex< double >	zs1 () const
	Get first spinor component for the z vector.

complex< double >	zs2 () const
	Get second spinor component for the z vector.

complex< double >	zs3 () const
	Get third spinor component for the z vector.

complex< double >	zs4 () const
	Get fourth spinor component for the z vector.

complex< double >	ts1 () const
	Get first spinor component for the t vector.

complex< double >	ts2 () const
	Get second spinor component for the t vector.

complex< double >	ts3 () const
	Get third spinor component for the t vector.

complex< double >	ts4 () const
	Get fourth spinor component for the t vector.


void	reset (unsigned int ihel)
	reset functions More...

Public Member Functions inherited from ThePEG::Helicity::WaveFunctionBase
	WaveFunctionBase ()
	Constructors. More...

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

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

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. More...

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.

Static Public Member Functions
static void	calculateWaveFunctions (vector< LorentzRSSpinorBar< SqrtEnergy > > &waves, tPPtr particle, Direction)
	Calculate the wavefunctions.

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

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

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

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

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

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

Private Member Functions
void	calculateWaveFunction (unsigned int ihel)
	Calcuate the wavefunction. More...

Private Attributes
LorentzRSSpinorBar< double >	_wf
	storage of the Lorentz RSSpinorBar

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

Detailed Description

The RSSpinorBarWaveFunction class is designed to store the wavefunction of a spin- $\frac32$ particle 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 barred spinor using the LorentzRSSpinorBar 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.

The barred spinors are calculated using a Clebsch-Gordon decomposition in the rest-frame for a massive particle and boosted to the lab-frame. For massless particles the calculation is performed in the lab-frame (N.B. there are only two helicities $\pm\frac32$ in this case.)

N.B. In our convention 0 is the $-\frac32$ helicity state, 1 is the $-\frac12$ helicity state, 2 is the $+\frac12$ helicity state 3 is the $+\frac32$ helicity state and

See also: WaveFunctionBase; LorentzRSSpinorBar; HelicityDefinitions

Definition at line 60 of file RSSpinorBarWaveFunction.h.

Constructor & Destructor Documentation

◆ RSSpinorBarWaveFunction() [1/5]

ThePEG::Helicity::RSSpinorBarWaveFunction::RSSpinorBarWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		complex< double >	xs1,
		complex< double >	xs2,
		complex< double >	xs3,
		complex< double >	xs4,
		complex< double >	ys1,
		complex< double >	ys2,
		complex< double >	ys3,
		complex< double >	ys4,
		complex< double >	zs1,
		complex< double >	zs2,
		complex< double >	zs3,
		complex< double >	zs4,
		complex< double >	ts1,
		complex< double >	ts2,
		complex< double >	ts3,
		complex< double >	ts4
	)

inline

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

Parameters

p	The momentum.
part	The ParticleData pointer.
xs1	The first spinor component of the vector.
xs2	The second spinor component of the vector.
xs3	The third spinor component of the vector.
xs4	The fourth spinor component of the vector.
ys1	The first spinor component of the vector.
ys2	The second spinor component of the vector.
ys3	The third spinor component of the vector.
ys4	The fourth spinor component of the vector.
zs1	The first spinor component of the vector.
zs2	The second spinor component of the vector.
zs3	The third spinor component of the vector.
zs4	The fourth spinor component of the vector.
ts1	The first spinor component of the vector.
ts2	The second spinor component of the vector.
ts3	The third spinor component of the vector.
ts4	The fourth spinor component of the vector.

Definition at line 87 of file RSSpinorBarWaveFunction.h.

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

◆ RSSpinorBarWaveFunction() [2/5]

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

inline

Constructor, set the momentum and the wavefunction.

Parameters

p	The momentum.
part	The ParticleData pointer.
wave	The wavefunction.

Definition at line 110 of file RSSpinorBarWaveFunction.h.

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

◆ RSSpinorBarWaveFunction() [3/5]

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

inline

Constructor, set the particle and the wavefunction.

Parameters

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

Definition at line 124 of file RSSpinorBarWaveFunction.h.

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

◆ RSSpinorBarWaveFunction() [4/5]

ThePEG::Helicity::RSSpinorBarWaveFunction::RSSpinorBarWaveFunction	(	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 (0,1,2,3 as described above.)
dir	The direction.

Definition at line 142 of file RSSpinorBarWaveFunction.h.

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

◆ RSSpinorBarWaveFunction() [5/5]

ThePEG::Helicity::RSSpinorBarWaveFunction::RSSpinorBarWaveFunction	(	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 157 of file RSSpinorBarWaveFunction.h.

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

Member Function Documentation

◆ calculateWaveFunction()

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

private

Calcuate the wavefunction.

Parameters

ihel	The helicity (0,1,2,3 as described above.)

Referenced by reset(), RSSpinorBarWaveFunction(), and transform().

◆ operator()()

complex<double> ThePEG::Helicity::RSSpinorBarWaveFunction::operator()	(	int	i,
		int	j
	)		const

inline

Access to the wavefunction and its components.

subscript operator for the wavefunction Set components by index.

Definition at line 188 of file RSSpinorBarWaveFunction.h.

References _wf.

◆ reset()

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

inline

reset functions

Reset the helicity (calculates the new spinor).

Parameters

ihel	The helicity (0,1,2,3 as described above.)

Definition at line 296 of file RSSpinorBarWaveFunction.h.

References calculateWaveFunction().

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

RSSpinorBarWaveFunction.h

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ RSSpinorBarWaveFunction() [1/5]

◆ RSSpinorBarWaveFunction() [2/5]

◆ RSSpinorBarWaveFunction() [3/5]

◆ RSSpinorBarWaveFunction() [4/5]

◆ RSSpinorBarWaveFunction() [5/5]

Member Function Documentation

◆ calculateWaveFunction()

◆ operator()()

◆ reset()