KVImpactParameters Namespace Reference

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

ana_centrality()

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

Centrality $c_b$ as a function of impact parameter $b$

Parameters

[in]	x[0]	$b$
[in]	par[0]	$b_0$
[in]	par[1]	$\Delta b$

Returns

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

Definition at line 65 of file impact_parameter_distribution.cpp.

sigma_inel()

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

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

Definition at line 45 of file impact_parameter_distribution.cpp.

smooth_pb()

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

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

Parameters

[in]	x[0]	$b$
[in]	par[0]	normalisation parameter $A$
[in]	par[1]	$b0$
[in]	par[2]	$\Delta b$

Returns

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

Definition at line 23 of file impact_parameter_distribution.cpp.