Formulae for participant-spectator model.

See Gosset et al., {\it Phys. Rev.} {\bf C16} (1977) 629

Definition at line 15 of file participant_spectator_model.h.

Public Member Functions
	participant_spectator_model ()

	participant_spectator_model (const KVNucleus &PROJ, const KVNucleus &TARG, Bool_t normalize_b=kFALSE, Bool_t normalize_participants=kFALSE)

virtual	~participant_spectator_model ()

double	F (double b, bool target=false) const

double	operator() (double x, double )

double	projectile_participants (double b) const

double	proton_participants (double b) const

void	set (const KVNucleus &PROJ, const KVNucleus &TARG, Bool_t normalize_b=kFALSE, Bool_t normalize_participants=kFALSE)

double	target_participants (double b) const

double	total_participants (double b) const

Private Types
enum	Sector { I = 1 , II , III , IV }

Private Member Functions
int	sector (double BETA, double NU) const

Private Attributes
double	_beta

double	A1

double	A2

double	NORM

double	R1

double	R2

double	Z1

double	Z2

#include <participant_spectator_model.h>

Member Enumeration Documentation

◆ Sector

enum KVImpactParameters::participant_spectator_model::Sector

private

Enumerator
I
II
III
IV

Definition at line 19 of file participant_spectator_model.h.

Constructor & Destructor Documentation

◆ participant_spectator_model() [1/2]

KVImpactParameters::participant_spectator_model::participant_spectator_model ( )

inline

Definition at line 23 of file participant_spectator_model.h.

◆ participant_spectator_model() [2/2]

KVImpactParameters::participant_spectator_model::participant_spectator_model	(	const KVNucleus &	PROJ,
		const KVNucleus &	TARG,
		Bool_t	normalize_b = `kFALSE`,
		Bool_t	normalize_participants = `kFALSE`
	)

inline

Constructor given entrance channel nuclei.

Parameters

[in] normalize_b if kTRUE, impact parameter is normalized to sum of radii

Definition at line 24 of file participant_spectator_model.h.

◆ ~participant_spectator_model()

virtual KVImpactParameters::participant_spectator_model::~participant_spectator_model ( )

inlinevirtual

Definition at line 39 of file participant_spectator_model.h.

Member Function Documentation

◆ F()

double KVImpactParameters::participant_spectator_model::F	(	double	b,
		bool	target = `false`
	)		const

The number of participant nucleons in a spherical nucleus of mass number \(A_1\) and radius \(R_1\), aimed with impact parameter \(b\) at a spherical nucleus of mass number \(A_2\) and radius \(R_2\) is given by

\[ N_1=A_1 F(\nu,\beta) \]

Parameters

[in] b impact parameter of collision. This is given in [fm] unless constructor was called with normalize_b=kTRUE: then \(0\leq b\leq 1\).

Definition at line 35 of file participant_spectator_model.cpp.

◆ operator()()

double KVImpactParameters::participant_spectator_model::operator()	(	double *	x,
		double *
	)

inline

Returns total number of participants versus b.

If constructor called with normalize_participants=kTRUE, will be normalized to value at b=0.

For use with ROOT TF1 class for drawing:

participant_spectator_model ps("36Ar", "58Ni", kTRUE);
TF1 f_ps("PS", ps);
f_ps.Draw();

Definition at line 55 of file participant_spectator_model.h.

◆ projectile_participants()

double KVImpactParameters::participant_spectator_model::projectile_participants ( double b ) const

inline

Definition at line 80 of file participant_spectator_model.h.

◆ proton_participants()

double KVImpactParameters::participant_spectator_model::proton_participants ( double b ) const

inline

Definition at line 88 of file participant_spectator_model.h.

◆ sector()

int KVImpactParameters::participant_spectator_model::sector	(	double	BETA,
		double	NU
	)		const

private

Return sector number according to values of \(\nu\) and \(\beta\)

[See Fig. 35 of Gosset et al.]

Definition at line 11 of file participant_spectator_model.cpp.

◆ set()

void KVImpactParameters::participant_spectator_model::set	(	const KVNucleus &	PROJ,
		const KVNucleus &	TARG,
		Bool_t	normalize_b = `kFALSE`,
		Bool_t	normalize_participants = `kFALSE`
	)