The RSSpinorWaveFunction class is designed to store the wavefunction of a spin-3/2 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 <RSSpinorWaveFunction.h>

Inheritance diagram for ThePEG::Helicity::RSSpinorWaveFunction:

[legend]

Standard constructors and destructors.
LorentzRSSpinor< double >	_wf
	storage of the Lorentz RSSpinor

	RSSpinorWaveFunction (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.

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

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

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

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

	RSSpinorWaveFunction ()
	Default constructor.

	RSSpinorWaveFunction (vector< RSSpinorWaveFunction > &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 LorentzRSSpinor< double > &	wave () const
	return wavefunction as LorentzRSSpinor

LorentzRSSpinor< SqrtEnergy >	dimensionedWf () const
	Return wavefunction as LorentzRSSpinor<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< LorentzRSSpinor< SqrtEnergy > > &waves, tPPtr particle, Direction)
	Calculate the wavefunctions.

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

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

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

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

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

static void	constructSpinInfo (const vector< RSSpinorWaveFunction > &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 RSSpinorWaveFunction class is designed to store the wavefunction of a spin-3/2 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 spinor using the LorentzRSSpinor 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 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.

The 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; LorentzRSSpinor; HelicityDefinitions

Definition at line 58 of file RSSpinorWaveFunction.h.

Constructor & Destructor Documentation

◆ RSSpinorWaveFunction() [1/7]

ThePEG::Helicity::RSSpinorWaveFunction::RSSpinorWaveFunction	(	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 85 of file RSSpinorWaveFunction.h.

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

◆ RSSpinorWaveFunction() [2/7]

ThePEG::Helicity::RSSpinorWaveFunction::RSSpinorWaveFunction	(	const Lorentz5Momentum &	p,
		tcPDPtr	part,
		const LorentzRSSpinor< 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 109 of file RSSpinorWaveFunction.h.

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

◆ RSSpinorWaveFunction() [3/7]

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

inline

Constructor, set the momentum and the wavefunction.

Parameters

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

Definition at line 123 of file RSSpinorWaveFunction.h.

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

◆ RSSpinorWaveFunction() [4/7]

ThePEG::Helicity::RSSpinorWaveFunction::RSSpinorWaveFunction	(	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 141 of file RSSpinorWaveFunction.h.

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

◆ RSSpinorWaveFunction() [5/7]

ThePEG::Helicity::RSSpinorWaveFunction::RSSpinorWaveFunction	(	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 156 of file RSSpinorWaveFunction.h.

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

◆ RSSpinorWaveFunction() [6/7]

ThePEG::Helicity::RSSpinorWaveFunction::RSSpinorWaveFunction ( )

inline

Default constructor.

Definition at line 165 of file RSSpinorWaveFunction.h.

◆ RSSpinorWaveFunction() [7/7]

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

inline

Special for spin correlations.

Definition at line 172 of file RSSpinorWaveFunction.h.

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

Member Function Documentation

◆ calculateWaveFunction()

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

private

Calcuate the wavefunction.

Parameters

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

Referenced by reset(), and RSSpinorWaveFunction().

◆ dimensionedWf()

LorentzRSSpinor< SqrtEnergy > ThePEG::Helicity::RSSpinorWaveFunction::dimensionedWf ( ) const

inline

Return wavefunction as LorentzRSSpinor<SqrtEnergy>

Definition at line 198 of file RSSpinorWaveFunction.h.

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

◆ operator()()

complex< double > ThePEG::Helicity::RSSpinorWaveFunction::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 187 of file RSSpinorWaveFunction.h.

References _wf.

◆ reset()

void ThePEG::Helicity::RSSpinorWaveFunction::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 295 of file RSSpinorWaveFunction.h.

References calculateWaveFunction().

◆ transform()

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

inline

Perform the Lorentz transformation of the wave function.

Definition at line 305 of file RSSpinorWaveFunction.h.

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

◆ ts1()

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

inline

Get first spinor component for the t vector.

Definition at line 269 of file RSSpinorWaveFunction.h.

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

◆ ts2()

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

inline

Get second spinor component for the t vector.

Definition at line 274 of file RSSpinorWaveFunction.h.

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

◆ ts3()

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

inline

Get third spinor component for the t vector.

Definition at line 279 of file RSSpinorWaveFunction.h.

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

◆ ts4()

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

inline

Get fourth spinor component for the t vector.

Definition at line 284 of file RSSpinorWaveFunction.h.

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

◆ wave()

const LorentzRSSpinor< double > & ThePEG::Helicity::RSSpinorWaveFunction::wave ( ) const

inline

return wavefunction as LorentzRSSpinor

Definition at line 195 of file RSSpinorWaveFunction.h.

References _wf.

Referenced by RSSpinorWaveFunction().

◆ xs1()

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

inline

Get first spinor component for the x vector.

Definition at line 209 of file RSSpinorWaveFunction.h.

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

◆ xs2()

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

inline

Get second spinor component for the x vector.

Definition at line 214 of file RSSpinorWaveFunction.h.

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

◆ xs3()

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

inline

Get third spinor component for the x vector.

Definition at line 219 of file RSSpinorWaveFunction.h.

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

◆ xs4()

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

inline

Get fourth spinor component for the x vector.

Definition at line 224 of file RSSpinorWaveFunction.h.

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

◆ ys1()

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

inline

Get first spinor component for the y vector.

Definition at line 229 of file RSSpinorWaveFunction.h.

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

◆ ys2()

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

inline

Get second spinor component for the y vector.

Definition at line 234 of file RSSpinorWaveFunction.h.

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

◆ ys3()

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

inline

Get third spinor component for the y vector.

Definition at line 239 of file RSSpinorWaveFunction.h.

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

◆ ys4()

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

inline

Get fourth spinor component for the y vector.

Definition at line 244 of file RSSpinorWaveFunction.h.

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

◆ zs1()

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

inline

Get first spinor component for the z vector.

Definition at line 249 of file RSSpinorWaveFunction.h.

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

◆ zs2()

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

inline

Get second spinor component for the z vector.

Definition at line 254 of file RSSpinorWaveFunction.h.

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

◆ zs3()

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

inline

Get third spinor component for the z vector.

Definition at line 259 of file RSSpinorWaveFunction.h.

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

◆ zs4()

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

inline

Get fourth spinor component for the z vector.

Definition at line 264 of file RSSpinorWaveFunction.h.

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

Member Data Documentation

◆ _wf

LorentzRSSpinor<double> ThePEG::Helicity::RSSpinorWaveFunction::_wf

private

storage of the Lorentz RSSpinor

Definition at line 370 of file RSSpinorWaveFunction.h.

Referenced by dimensionedWf(), operator()(), RSSpinorWaveFunction(), 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:

RSSpinorWaveFunction.h

Standard constructors and destructors.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ RSSpinorWaveFunction() [1/7]

◆ RSSpinorWaveFunction() [2/7]

◆ RSSpinorWaveFunction() [3/7]

◆ RSSpinorWaveFunction() [4/7]

◆ RSSpinorWaveFunction() [5/7]

◆ RSSpinorWaveFunction() [6/7]

◆ RSSpinorWaveFunction() [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