Fermi hypernetted-chain evaluation of a generalized momentum distribution for model nuclear matter

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.51.1849· OSTI ID:6586795

Mavrommatis, E; Petraki, M ^[1]; Clark, J W ^[2]

---

1. Physics Department, Division of Nuclear and Particle Physics, University of Athens, Panepistimioupoli, 157 71 Athens (Greece)
2. McDonnell Center for the Space Sciences and Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)

The generalized momentum distribution [ital n]([bold p],[bold Q]), related to the half-diagonal two-body density matrix [rho][sub 2[ital h]]([bold r][sub 1],[bold r][sub 2],[bold r][sub 1][sup [prime]]) by Fourier transformation in the variables [bold r][sub 1][minus][bold r][sub 1][sup [prime]] and [bold r][sub 1][minus][bold r][sub 2], plays a key role in the description of final-state interactions in the nuclear medium and other strongly interacting many-body systems. The function [ital n]([bold p],[bold Q]) is explored for two Jastrow-correlated models of infinite nuclear matter within a Fermi hypernetted-chain procedure. Significant departures from ideal Fermi gas behavior in certain kinematic domains provide signatures of the strong short-range correlations contained in these models. However, such deviations are less prominent than in earlier calculations based on low-order cluster truncations; correspondingly, violations of the sequential relation are greatly reduced. Simple prescriptions for improved low-cluster-order approximations to [ital n]([bold p],[bold Q]) are suggested by analysis of the results of the Fermi hypernetted-chain evaluation. These results are also used to assess the quality of Silver's approximation [ital n]([bold p],[bold Q])[approx][ital n]([ital p])[[ital S]([ital Q])[minus]1] for the generalized momentum distribution in terms of the ordinary momentum distribution [ital n]([ital p]) and the static structure function [ital S]([ital Q]), with findings that have potential implications for the interpretation of data from inclusive electron scattering by nuclei at high momentum transfers.

• OSTI ID: 6586795
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 51:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
663420 -- Lepton-Induced Reactions & Scattering-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE REACTIONS
CORRELATIONS
DISTRIBUTION
ELECTRON REACTIONS
FERMI GAS MODEL
FINAL-STATE INTERACTIONS
FOURIER TRANSFORMATION
FUNCTIONS
INCLUSIVE INTERACTIONS
INTEGRAL TRANSFORMATIONS
INTERACTIONS
LEPTON REACTIONS
LINEAR MOMENTUM
MATHEMATICAL MODELS
MATTER
MOMENTUM TRANSFER
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
STRUCTURE FUNCTIONS
TRANSFORMATIONS