Islam model of p-p and p-anti p elastic scattering. More...

#include <IslamModel.h>

Inheritance diagram for Elegent::IslamModel:

Public Types
enum	VariantType { vHP, vLxG, vLxG13 }
	variant of the model More...

enum	ModeType { mDiff, mCore, mQuark, mDiffCore, mFull }
	mode of the model More...

Public Member Functions
void	Configure (VariantType _v, ModeType _m)

virtual void	Init ()
	sets up model parameters and data members

void	SetUnitarizationOrders (int qq, int cgc)

virtual void	Print () const
	prints model info

virtual TComplex	Amp (double t) const
	Amplitude in t-space. More...

virtual TComplex	Prf (double b) const
	Profile function (amplitude in b-space). More...

Public Member Functions inherited from Elegent::Model
std::string	CompileFullLabel () const
	compiles a human readable string from fullLabel

std::string	CompileShortLabel () const
	compiles a human readable string from shortLabel

virtual void	ForcePresampling (bool)
	Sets the presampling option, if available. More...

Static Public Member Functions
static TComplex	CEF (double a, double b, double c)

Public Attributes
enum Elegent::IslamModel::VariantType	variant

enum Elegent::IslamModel::ModeType	mode

Public Attributes inherited from Elegent::Model
Label	fullLabel
	full label (e.g. for figure legend)

Label	shortLabel
	short label (e.g. for object names in ROOT files)

Protected Member Functions
TComplex	T_diff (double t) const
	diffraction amplitude More...

TComplex	GammaD (double b) const

double	F_sq (double t) const

TComplex	T_core (double t) const

TComplex	T_quark (double t) const
	quark-quark amplitude

double	I_integral (double qt, double al) const

double	F_cal (int n, double qt, double om, double m0sq) const

TComplex	T_hp_n (int n, double t) const

TComplex	T_hp (double t) const

TComplex	T_lxg_n (int n, double t) const

TComplex	T_lxg (double t) const

Static Protected Member Functions
static TComplex	GammaD_J0 (double b, double par, const void vobj)

static TComplex	T_core_integ (double b, double par, const void vobj)
	core amplitude More...

static double	F_cal_integ (double x, double par, const void vobj)

static double	T_hp_integ (double b, double par, const void vobj)
	quark-quark amplitude: hard-pomeron variant

static double	T_lxg_integ (double b, double par, const void vobj)
	quark-quark amplitude: low-x gluons variant

static TComplex	Amp_J0 (double t, double par, const void vobj)
	profile funcion methods

Protected Attributes
TComplex	R
	diffraction variables

TComplex	a

TComplex	Diff_fac_profile

TComplex	Diff_fac

TComplex	Abs_fac
	hard scattering variables

double	beta
	core scattering variables

double	m_omega_sq

double	Core_fac

bool	multipleOmegaExchange

double	m0sq
	quark confinement parameters

double	r0
	"hard pomeron" scattering variables

double	omega

TComplex	Quark_fac

TComplex	Quark_const

int	qqMaxOrder

double	lambda
	"low-x gluons" scattering

double	m_c

TComplex	cgc_fac

int	cgcMaxOrder

double	precision_b
	integration variables

double	precision_t

double	upper_bound_b

double	upper_bound_t

bool	integ_workspace_initialized

unsigned long	integ_workspace_size_b

gsl_integration_workspace *	integ_workspace_b

unsigned long	integ_workspace_size_t

gsl_integration_workspace *	integ_workspace_t

Detailed Description

Islam model of p-p and p-anti p elastic scattering.

References: [1] ISLAM, M. M., FEARNLEY, T. and GUILLAUD, J. P., Nuovo Cim. A81 (1984) 737 [2] ISLAM, M. M., INNOCENTE V., FEARNLEY T. and SANGUIETTI, G., Europhys. Lett. 4 (1987) 189-196 [3] ISLAM, M. M., LUDDY, R. J. and PROKUDIN, A. V., Phys. Lett. B605 (2005) 115-122 [4] ISLAM, M. M., LUDDY, R. J. and PROKUDIN, A. V., Int. J. Mod. Phys. A21 (2006) 1-42 [5] ISLAM, M. M., KASPAR, J. and LUDDY, R. J., Mod. Phys. Lett. A24 (2009) 485-496 [6] ISLAM, M. M. and LUDDY, R. J., EDS'13 Conference Proceedings, http://arxiv.org/abs/1310.5602

Member Enumeration Documentation

enum Elegent::IslamModel::ModeType

mode of the model

Enumerator
mDiff	diffraction amplitude
mCore	core amplitude
mQuark	quark-quark amplitude
mDiffCore	diffraction and core amplitude
mFull	diffraction, core and quark-quark amplitude

enum Elegent::IslamModel::VariantType

variant of the model

Enumerator
vHP	hard Pomeron
vLxG	low-x gluons
vLxG13	low-x gluons, version from EDS'13

Member Function Documentation

TComplex IslamModel::Amp ( double t ) const

virtual

Amplitude in t-space.

Normalisation is such that \( dsigma/dt = (\hbar c)^2 * \pi / (s p^2) * |Amp(t)|^2 \) Differential cross-section can be obtained as Constants::sig_fac * |Amp(t)|^2

Parameters

t	in GeV^-2, t < 0

Implements Elegent::Model.

double IslamModel::F_sq ( double t ) const

protected

formfactor, t < 0

TComplex IslamModel::GammaD ( double b ) const

protected

b-dependent part of profile function Gamma_D^+ in Eq. (2.7) in [4] b... impact parameter in fm

TComplex IslamModel::Prf ( double b ) const

virtual

Profile function (amplitude in b-space).

Normalisation is such that \( Amp(t) = 2 p \sqrt{s} \int db b Prf() J_0(b \sqrt{-t}) \)

Parameters

b in fm.

Implements Elegent::Model.

TComplex IslamModel::T_core ( double t ) const

protected

t < 0

TComplex IslamModel::T_core_integ	(	double	b,
		double *	par,
		const void *	vobj
	)

staticprotected

core amplitude

TODO: reference needed

TComplex IslamModel::T_diff ( double t ) const

protected

diffraction amplitude

t < 0

TComplex IslamModel::T_hp ( double t ) const

protected

t < 0

TComplex IslamModel::T_lxg ( double t ) const

protected

t < 0

The documentation for this class was generated from the following files:

src/libElegent/interface/IslamModel.h
src/libElegent/src/IslamModel.cc

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Detailed Description

Member Enumeration Documentation

Member Function Documentation