MBPT::Sigma2 Namespace Reference

Detailed Description

Functions for each Sigma2 diagram; called by Sk_vwxy.

Broken up for computational convenience, not diagram-by-diagram.

Functions
double	S_Sigma2_ab (int k, const DiracSpinor &v, const DiracSpinor &w, const DiracSpinor &x, const DiracSpinor &y, const Coulomb::QkTable &qk, const std::vector< DiracSpinor > &core, const std::vector< DiracSpinor > &excited, const Angular::SixJTable &SixJ, Denominators denominators, const std::vector< double > &fk={}, double E0=0.0)
	Diagrams a+b contribution to the reduced two-body Sigma.
double	S_Sigma2_c1 (int k, const DiracSpinor &v, const DiracSpinor &w, const DiracSpinor &x, const DiracSpinor &y, const Coulomb::QkTable &qk, const std::vector< DiracSpinor > &core, const std::vector< DiracSpinor > &excited, const Angular::SixJTable &SixJ, Denominators denominators, const std::vector< double > &fk={}, double E0=0.0)
	Diagram c1 contribution to the reduced two-body Sigma.
double	S_Sigma2_c2 (int k, const DiracSpinor &v, const DiracSpinor &w, const DiracSpinor &x, const DiracSpinor &y, const Coulomb::QkTable &qk, const std::vector< DiracSpinor > &core, const std::vector< DiracSpinor > &excited, const Angular::SixJTable &SixJ, Denominators denominators, const std::vector< double > &fk={}, double E0=0.0)
	Diagram c2 contribution to the reduced two-body Sigma.
double	S_Sigma2_d (int k, const DiracSpinor &v, const DiracSpinor &w, const DiracSpinor &x, const DiracSpinor &y, const Coulomb::QkTable &qk, const std::vector< DiracSpinor > &core, const std::vector< DiracSpinor > &excited, const Angular::SixJTable &SixJ, Denominators denominators, const std::vector< double > &fk={}, double E0=0.0)
	Diagram d contribution to the reduced two-body Sigma.

Function Documentation

S_Sigma2_ab()

double MBPT::Sigma2::S_Sigma2_ab	(	int	k,
		const DiracSpinor &	v,
		const DiracSpinor &	w,
		const DiracSpinor &	x,
		const DiracSpinor &	y,
		const Coulomb::QkTable &	qk,
		const std::vector< DiracSpinor > &	core,
		const std::vector< DiracSpinor > &	excited,
		const Angular::SixJTable &	SixJ,
		Denominators	denominators,
		const std::vector< double > &	fk = {},
		double	E0 = 0.0
	)

Diagrams a+b contribution to the reduced two-body Sigma.

Computes the sum of Goldstone diagrams a and b for \( S^k_{vwxy} \).

Parameters

k	Multipolarity.
v	(+ w x y) External spinors.
qk	Coulomb integral table.
core	Core states.
excited	Excited states.
SixJ	6-j symbol table.
denominators	Energy denominator convention.
fk	Screening factors; fk[k] scales the k-th Coulomb line.
E0	Target-level valence energy; used only by Denominators::BW.

Returns

Diagrams a+b contribution to \( S^k_{vwxy} \).

S_Sigma2_c1()

double MBPT::Sigma2::S_Sigma2_c1	(	int	k,
		const DiracSpinor &	v,
		const DiracSpinor &	w,
		const DiracSpinor &	x,
		const DiracSpinor &	y,
		const Coulomb::QkTable &	qk,
		const std::vector< DiracSpinor > &	core,
		const std::vector< DiracSpinor > &	excited,
		const Angular::SixJTable &	SixJ,
		Denominators	denominators,
		const std::vector< double > &	fk = {},
		double	E0 = 0.0
	)

Diagram c1 contribution to the reduced two-body Sigma.

Computes Goldstone diagram c1 for \( S^k_{vwxy} \).

Parameters

k	Multipolarity.
v	(+ w x y) External spinors.
qk	Coulomb integral table.
core	Core states.
excited	Excited states.
SixJ	6-j symbol table.
denominators	Energy denominator convention.
fk	Screening factors; fk[k] scales the k-th Coulomb line.
E0	Target-level valence energy; used only by Denominators::BW.

Returns

Diagram c1 contribution to \( S^k_{vwxy} \).

S_Sigma2_c2()

double MBPT::Sigma2::S_Sigma2_c2	(	int	k,
		const DiracSpinor &	v,
		const DiracSpinor &	w,
		const DiracSpinor &	x,
		const DiracSpinor &	y,
		const Coulomb::QkTable &	qk,
		const std::vector< DiracSpinor > &	core,
		const std::vector< DiracSpinor > &	excited,
		const Angular::SixJTable &	SixJ,
		Denominators	denominators,
		const std::vector< double > &	fk = {},
		double	E0 = 0.0
	)

Diagram c2 contribution to the reduced two-body Sigma.

Computes Goldstone diagram c2 for \( S^k_{vwxy} \).

Parameters

k	Multipolarity.
v	(+ w x y) External spinors.
qk	Coulomb integral table.
core	Core states.
excited	Excited states.
SixJ	6-j symbol table.
denominators	Energy denominator convention.
fk	Screening factors; fk[k] scales the k-th Coulomb line.
E0	Target-level valence energy; used only by Denominators::BW.

Returns

Diagram c2 contribution to \( S^k_{vwxy} \).

S_Sigma2_d()

double MBPT::Sigma2::S_Sigma2_d	(	int	k,
		const DiracSpinor &	v,
		const DiracSpinor &	w,
		const DiracSpinor &	x,
		const DiracSpinor &	y,
		const Coulomb::QkTable &	qk,
		const std::vector< DiracSpinor > &	core,
		const std::vector< DiracSpinor > &	excited,
		const Angular::SixJTable &	SixJ,
		Denominators	denominators,
		const std::vector< double > &	fk = {},
		double	E0 = 0.0
	)

Diagram d contribution to the reduced two-body Sigma.

Computes Goldstone diagram d for \( S^k_{vwxy} \).

Parameters

k	Multipolarity.
v	(+ w x y) External spinors.
qk	Coulomb integral table.
core	Core states.
excited	Excited states.
SixJ	6-j symbol table.
denominators	Energy denominator convention.
fk	Screening factors; fk[k] scales the k-th Coulomb line.
E0	Target-level valence energy; used only by Denominators::BW.

Returns

Diagram d contribution to \( S^k_{vwxy} \).