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]

Standard constructors and destructors.
LorentzRSSpinorBar< double >	_wf
	storage of the Lorentz RSSpinorBar

	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.

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

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

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

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

	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.

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

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

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.

void	calculateWaveFunction (unsigned int ihel)
	Calcuate the wavefunction.

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

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() [1/7]

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 \(x\) vector.
xs2	The second spinor component of the \(x\) vector.
xs3	The third spinor component of the \(x\) vector.
xs4	The fourth spinor component of the \(x\) vector.
ys1	The first spinor component of the \(y\) vector.
ys2	The second spinor component of the \(y\) vector.
ys3	The third spinor component of the \(y\) vector.
ys4	The fourth spinor component of the \(y\) vector.
zs1	The first spinor component of the \(z\) vector.
zs2	The second spinor component of the \(z\) vector.
zs3	The third spinor component of the \(z\) vector.
zs4	The fourth spinor component of the \(z\) vector.
ts1	The first spinor component of the \(t\) vector.
ts2	The second spinor component of the \(t\) vector.
ts3	The third spinor component of the \(t\) vector.
ts4	The fourth spinor component of the \(t\) vector.

Definition at line 87 of file RSSpinorBarWaveFunction.h.

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

◆ RSSpinorBarWaveFunction() [2/7]

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() [3/7]

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() [4/7]

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() [5/7]

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().

◆ RSSpinorBarWaveFunction() [6/7]

ThePEG::Helicity::RSSpinorBarWaveFunction::RSSpinorBarWaveFunction ( )

inline

Default constructor.

Definition at line 166 of file RSSpinorBarWaveFunction.h.

◆ RSSpinorBarWaveFunction() [7/7]

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

inline

Special for spin correlations.

Definition at line 173 of file RSSpinorBarWaveFunction.h.

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

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(), and RSSpinorBarWaveFunction().

◆ dimensionedWf()

LorentzRSSpinorBar< SqrtEnergy > ThePEG::Helicity::RSSpinorBarWaveFunction::dimensionedWf ( ) const

inline

Return wavefunction as LorentzRSSpinorBar<SqrtEnergy>

Definition at line 199 of file RSSpinorBarWaveFunction.h.

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

◆ 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().

◆ transform()

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

inline

Perform the Lorentz transformation of the wave function.

Definition at line 306 of file RSSpinorBarWaveFunction.h.

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

◆ ts1()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ts1 ( ) const

inline

Get first spinor component for the t vector.

Definition at line 270 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ts1().

◆ ts2()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ts2 ( ) const

inline

Get second spinor component for the t vector.

Definition at line 275 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ts2().

◆ ts3()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ts3 ( ) const

inline

Get third spinor component for the t vector.

Definition at line 280 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ts3().

◆ ts4()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ts4 ( ) const

inline

Get fourth spinor component for the t vector.

Definition at line 285 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ts4().

◆ wave()

const LorentzRSSpinorBar< double > & ThePEG::Helicity::RSSpinorBarWaveFunction::wave ( ) const

inline

return wavefunction as LorentzRSSpinorBar

Definition at line 196 of file RSSpinorBarWaveFunction.h.

References _wf.

Referenced by RSSpinorBarWaveFunction().

◆ xs1()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::xs1 ( ) const

inline

Get first spinor component for the x vector.

Definition at line 210 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::xs1().

◆ xs2()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::xs2 ( ) const

inline

Get second spinor component for the x vector.

Definition at line 215 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::xs2().

◆ xs3()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::xs3 ( ) const

inline

Get third spinor component for the x vector.

Definition at line 220 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::xs3().

◆ xs4()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::xs4 ( ) const

inline

Get fourth spinor component for the x vector.

Definition at line 225 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::xs4().

◆ ys1()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ys1 ( ) const

inline

Get first spinor component for the y vector.

Definition at line 230 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ys1().

◆ ys2()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ys2 ( ) const

inline

Get second spinor component for the y vector.

Definition at line 235 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ys2().

◆ ys3()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ys3 ( ) const

inline

Get third spinor component for the y vector.

Definition at line 240 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ys3().

◆ ys4()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::ys4 ( ) const

inline

Get fourth spinor component for the y vector.

Definition at line 245 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::ys4().

◆ zs1()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::zs1 ( ) const

inline

Get first spinor component for the z vector.

Definition at line 250 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::zs1().

◆ zs2()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::zs2 ( ) const

inline

Get second spinor component for the z vector.

Definition at line 255 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::zs2().

◆ zs3()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::zs3 ( ) const

inline

Get third spinor component for the z vector.

Definition at line 260 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::zs3().

◆ zs4()

complex< double > ThePEG::Helicity::RSSpinorBarWaveFunction::zs4 ( ) const

inline

Get fourth spinor component for the z vector.

Definition at line 265 of file RSSpinorBarWaveFunction.h.

References _wf, and ThePEG::Helicity::LorentzRSSpinorBar< Value >::zs4().

Member Data Documentation

◆ _wf

LorentzRSSpinorBar<double> ThePEG::Helicity::RSSpinorBarWaveFunction::_wf

private

storage of the Lorentz RSSpinorBar

Definition at line 371 of file RSSpinorBarWaveFunction.h.

Referenced by dimensionedWf(), operator()(), RSSpinorBarWaveFunction(), transform(), ts1(), ts2(), ts3(), ts4(), wave(), xs1(), xs2(), xs3(), xs4(), ys1(), ys2(), ys3(), ys4(), zs1(), zs2(), zs3(), and zs4().

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

RSSpinorBarWaveFunction.h

Standard constructors and destructors.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ RSSpinorBarWaveFunction() [1/7]

◆ RSSpinorBarWaveFunction() [2/7]

◆ RSSpinorBarWaveFunction() [3/7]

◆ RSSpinorBarWaveFunction() [4/7]

◆ RSSpinorBarWaveFunction() [5/7]

◆ RSSpinorBarWaveFunction() [6/7]

◆ RSSpinorBarWaveFunction() [7/7]

Member Function Documentation

◆ calculateWaveFunction()

◆ dimensionedWf()

◆ operator()()

◆ reset()

◆ transform()

◆ ts1()

◆ ts2()

◆ ts3()

◆ ts4()

◆ wave()

◆ xs1()

◆ xs2()

◆ xs3()

◆ xs4()

◆ ys1()

◆ ys2()

◆ ys3()

◆ ys4()

◆ zs1()

◆ zs2()

◆ zs3()

◆ zs4()

Member Data Documentation

◆ _wf