Classes
class	algebraic_fitting_function
	Algebraic relationship between mean value of observable and centrality. More...

class	bayesian_estimator
	Impact parameter distribution reconstruction from experimental data. More...

class	BD_kernel
	Fluctuation kernel using binomial distribution for use with bayesian_estimator. More...

class	cavata_prescription
	Impact parameter estimation neglecting using sharp cut-off approximation. More...

class	gamma_kernel
	Fluctuation kernel using gamma distribution for use with bayesian_estimator. More...

class	impact_parameter_distribution
	Class implementing parametrizable impact parameter distributions. More...

class	NBD_kernel
	Fluctuation kernel using negative binomial distribution for use with bayesian_estimator. More...

class	participant_spectator_model
	Formulae for participant-spectator model. More...

class	rogly_fitting_function
	Exponential function relating mean value of observable to centrality. More...

Functions
double	ana_centrality (double x, double par)

Double_t	sigma_inel (Double_t x, Double_t p)

Double_t	smooth_pb (Double_t x, Double_t par)

Detailed Description

Created by KVClassFactory on Fri Jul 26 16:03:15 2019 Author: John Frankland,,,

Created by KVClassFactory on Fri Jan 15 18:14:06 2010 Author: John Frankland,,,

Created by KVClassFactory on Tue Jul 23 15:24:27 2019 Author: John Frankland,,,

Function Documentation

double KVImpactParameters::ana_centrality	(	double *	x,
		double *	par
	)

Centrality \(c_b\) as a function of impact parameter \(b\)

Parameters

Returns: \(c_{b}=\frac{2\pi(\Delta b)^{2}}{\sigma_{R}}\left[\mathrm{-Li}_{2}\left(-\exp\left(\frac{b_{0}}{\Delta b}\right)\right)-\frac{\pi^{2}}{6}+\frac{(b^{2}-b_{0}^{2})}{2(\Delta b)^{2}}-\frac{b}{\Delta b}\ln\left(1+\exp\left((b-b_{0})/\Delta b\right)\right)-\mathrm{Li}_{2}\left(-\mathrm{e}^{(b-b_{0})/\Delta b}\right)\right]\)

Double_t KVImpactParameters::sigma_inel	(	Double_t *	x,
		Double_t *	p
	)

Total reaction cross-section in [mb] as a function of \(b_0\) and \(\Delta b\)

Parameters

[in]	x[0]	\(b_0\)
[in]	par[0]	\(\Delta b\)

Returns: \(\sigma_{R}=-2\pi(\Delta b)^{2}\mathrm{Li}_{2}\left(-\exp\left(\frac{b_{0}}{\Delta b}\right)\right)\)

Double_t KVImpactParameters::smooth_pb	(	Double_t *	x,
		Double_t *	par
	)

Smooth impact parameter distribution (with arbitrary normalisation par[0])

Parameters

Returns: \(Ab\left[1+\exp\left(\frac{b-b_{0}}{\Delta b}\right)\right]^{-1}\)