2009
DOI: 10.1103/physrevc.80.064320
|View full text |Cite
|
Sign up to set email alerts
|

Fermion propagators in space-time

Abstract: The one-and the two-particle propagators for an infinite non-interacting Fermi system are studied as functions of space-time coordinates. Their behaviour at the origin and in the asymptotic region is discussed, as is their scaling in the Fermi momentum. Both propagators are shown to have a divergence at equal times. The impact of the interaction among the fermions on their momentum distribution, on their pair correlation function and, hence, on the Coulomb sum rule is explored using a phenomenological model. F… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
11
0

Year Published

2011
2011
2022
2022

Publication Types

Select...
3

Relationship

2
1

Authors

Journals

citations
Cited by 3 publications
(11 citation statements)
references
References 15 publications
0
11
0
Order By: Relevance
“…Such analyses have been carried out for few-body systems, complex nuclei, and nuclear matter and have focused mainly on the existence of high-momentum components of the nucleon momentum distribution due to NN correlation effects [2][3][4][5][6][7]. Since it is impossible within the MFA to describe simultaneously the density and momentum distributions in nuclei [4,[7][8][9][10][11][12], a consistent analysis of the role of the NN correlations is required using theoretical methods that go beyond the MFA to obtain a successful description of the relevant experiments. The present study uses the results found from studies of y scaling [1][2][3][13][14][15] and superscaling (based on ψ-scaling variable) [15][16][17][18][19][20][21][22][23] obtained from analyses of inclusive electron scattering data.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Such analyses have been carried out for few-body systems, complex nuclei, and nuclear matter and have focused mainly on the existence of high-momentum components of the nucleon momentum distribution due to NN correlation effects [2][3][4][5][6][7]. Since it is impossible within the MFA to describe simultaneously the density and momentum distributions in nuclei [4,[7][8][9][10][11][12], a consistent analysis of the role of the NN correlations is required using theoretical methods that go beyond the MFA to obtain a successful description of the relevant experiments. The present study uses the results found from studies of y scaling [1][2][3][13][14][15] and superscaling (based on ψ-scaling variable) [15][16][17][18][19][20][21][22][23] obtained from analyses of inclusive electron scattering data.…”
Section: Introductionmentioning
confidence: 99%
“…045504-1 0556-2813/2011/83(4)/045504 (12) ©2011 American Physical Society where σ eN is the electron-nucleon cross section for a moving off-shell nucleon, S(p, E) is the spectral function that gives the probability to find a nucleon of certain momentum and energy in the nucleus [25][26][27], and K is a kinematical factor [28]. In Eq.…”
Section: Introductionmentioning
confidence: 99%
“…6 the CSR predicted by our n(k). Actually this curve was already shown in [12], however we revisit it once more here to illustrate how the attainement of the asymptotic value (namely one) is postponed by the nucleon-nucleon correlations, in particular, the repulsive short-range ones, to larger values of q ( ∼ = 4.6 fm −1 ) than for the Fermi gas situation ( ∼ = 2.46 fm −1 ). To illustrate our second path toward coherence we commence by recalling the alternative model of [17], which deals with the same issues treated in the present paper, namely the scaling function and momentum distribution, but with a different philosophy.…”
Section: The Modelmentioning
confidence: 56%
“…6 the CSR predicted by our n(k). Actually this curve was already shown in [12], however we revisit it once more here to illustrate how the attainement of the asymptotic value (namely one) is postponed by the nucleon-nucleon correlations, in particular, the repulsive short-range ones, to larger values of q ( ∼ = 4.6 fm To illustrate our second path toward coherence we commence by recalling the alternative model of [21], which deals with the same issues treated in the present paper, namely the scaling function and momentum distribution, but with a different philosophy. The study of [21] is based on the use of PWIA (Plane-Wave Impulse Approximation) and has as its starting point the assumption of the factorization of the one-particle exclusive cross section (namely the cross section for the process (e, e ′ N)) according to the expression…”
Section: The Many-body Content Of N(k) and The Csrmentioning
confidence: 97%
See 1 more Smart Citation