Coarse graining the Bethe–Goldstone equation: Nucleon–nucleon high-momentum components

Simo, I. Ruiz; Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz

doi:10.1103/PhysRevC.96.054006

Title: Coarse graining the Bethe–Goldstone equation: Nucleon–nucleon high-momentum components

Journal Article · 27 November 2017 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.96.054006 · OSTI ID:1513129

Simo, I. Ruiz ^[1]; Pérez, R. Navarro ^[2]; Amaro, J. E. ^[1]; Arriola, E. Ruiz ^[1]

Univ. of Granada, Granada (Spain). Carlos I Inst. of Theoretical and Computational Physics, Dept. of Atomic, Molecular, and Nuclear Physics
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Division

The $$δ$$-shell representation of the nuclear force allows a simplified treatment of nuclear correlations. We show how this applies to the Bethe–Goldstone equation as an integral equation in coordinate space with a few mesh points, which is solved by inversion of a five-dimensional square matrix in the single channel cases and a 10 × 10 matrix for the tensor-coupled channels. This allows us to readily obtain the high-momentum distribution, for all partial waves, of a back-to-back correlated nucleon pair in nuclear matter. We find that the probability of finding a high-momentum correlated neutron–proton pair is about 18 times that of a proton–proton one, as a result of the strong tensor force, thus confirming in an independent way previous results and measurements.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344; SC0008511

OSTI ID:: 1513129

Alternate ID(s):: OSTI ID: 1410381

Report Number(s):: LLNL-JRNL-736582; PRVCAN; 889164

Journal Information:: Physical Review C, Vol. 96, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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