Classes
struct	InputInfo

Typedefs
using	BreitWignerFunction = std::function< std::complex< double >(double, double, double, double, double, unsigned int, double, std::shared_ptr< FormFactor >)>

Functions
std::complex< double >	relativisticBreitWigner (double mSq, double mR, double ma, double mb, double width, unsigned int L, double mesonRadius, std::shared_ptr< FormFactor > FormFactorFunctor)
	Relativistic Breit-Wigner model with barrier factors. More...

std::complex< double >	relativisticBreitWignerAnalyticCont (double mSq, double mR, double ma, double mb, double width, unsigned int L, double mesonRadius, std::shared_ptr< FormFactor > FormFactorFunctor)
	Relativistic Breit-Wigner model with barrier factors. More...

std::shared_ptr< ComPWA::FunctionTree::TreeNode >	createFunctionTree (InputInfo Params, std::shared_ptr< ComPWA::FunctionTree::Value< std::vector< double >>> InvMassSquared)

Typedef Documentation

◆ BreitWignerFunction

using ComPWA::Physics::Dynamics::RelativisticBreitWigner::BreitWignerFunction = typedef std::function<std::complex<double>( double, double, double, double, double, unsigned int, double, std::shared_ptr<FormFactor>)>

Definition at line 39 of file RelativisticBreitWigner.hpp.

Function Documentation

◆ createFunctionTree()

std::shared_ptr< TreeNode > ComPWA::Physics::Dynamics::RelativisticBreitWigner::createFunctionTree	(	RelativisticBreitWigner::InputInfo	Params,
		std::shared_ptr< ComPWA::FunctionTree::Value< std::vector< double >>>	InvMassSquared
	)

Definition at line 17 of file RelativisticBreitWigner.cpp.

◆ relativisticBreitWigner()

std::complex<double> ComPWA::Physics::Dynamics::RelativisticBreitWigner::relativisticBreitWigner	(	double	mSq,
		double	mR,
		double	ma,
		double	mb,
		double	width,
		unsigned int	L,
		double	mesonRadius,
		std::shared_ptr< FormFactor >	FormFactorFunctor
	)

inline

Relativistic Breit-Wigner model with barrier factors.

The dynamical function implemented here is taken from PDG2018 (Eq.48.22) for the one channel case. The dynamic reaction

$\mathcal{A}_R(s) = \frac{g_p*g}{s - M_R^2 + i \sqrt{s} \Gamma_R B^2}$

$ g_p, g$ are the coupling constants for production and decay and the barrier term $ B^2$ is parameterized according to Eq.48.23:

$B^2 = \left( \frac{q(\sqrt{s})}{q(M_R)} \right)^{2L+1} \times \left( \frac{M_R}{\sqrt{s}} \right) \times \left( \frac{F(\sqrt{s})}{F(\sqrt{s_R})} \right)^{2}$

This corresponds to the Blatt Weisskopf form factors B_L like

$B^2 = \left( \frac{q(\sqrt{s})}{q(M_R)} \right) \times \left( \frac{M_R}{\sqrt{s}} \right) \times \left( \frac{B_L(\sqrt{s})}{B_L(\sqrt{s_R})} \right)^{2}$

Parameters

mSq	Invariant mass squared
mR	Mass of the resonant state
ma	Mass of daughter particle
mb	Mass of daughter particle
width	Decay width
L	Orbital angular momentum between two daughters a and b
mesonRadius	Meson Radius
FormFactorFunctor	Form factor functor

Returns: Amplitude value

Definition at line 77 of file RelativisticBreitWigner.hpp.

◆ relativisticBreitWignerAnalyticCont()

std::complex<double> ComPWA::Physics::Dynamics::RelativisticBreitWigner::relativisticBreitWignerAnalyticCont	(	double	mSq,
		double	mR,
		double	ma,
		double	mb,
		double	width,
		unsigned int	L,
		double	mesonRadius,
		std::shared_ptr< FormFactor >	FormFactorFunctor
	)