Slope parameter of the symmetry energy and the structure of three-particle interactions in nuclear matter

Bentz, Wolfgang; Cloët, Ian C.

doi:10.1103/physrevc.105.014320

Title: Slope parameter of the symmetry energy and the structure of three-particle interactions in nuclear matter

Journal Article · 20 January 2022 · Physical Review. C

DOI: https://doi.org/10.1103/physrevc.105.014320 · OSTI ID:1902705

^[1]; Cloët, Ian C. ^[2]

Tokai Univ., Hiratsuka, Kanagawa (Japan)
Argonne National Lab. (ANL), Argonne, IL (United States)

In the first part of this paper, we present a study of the symmetry energy (a_s) and its slope parameter (L) for nuclear matter in the framework of the Fermi liquid theory of Landau and Migdal. We derive an exact relation between a_s and L, which involves the nucleon effective masses and three-particle Landau-Migdal parameters. We present simple estimates which suggest that there are two main mechanisms to explain the empirical values of L: The proton-neutron effective mass difference in isospin asymmetric matter and the ℓ = 0 moment of the isovector in-medium three-particle scattering amplitude. In the second part of this paper, we discuss the general structure of three-particle interactions in nuclear matter in the framework of the Fermi liquid theory. The connections to the Bethe-Brueckner-Goldstone theory and other approaches are also discussed. Finally, we show explicitly how the first few terms in the Faddeev series, together with medium induced three-particle interactions, emerge naturally in the Fermi liquid theory.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1902705

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 1 Vol. 105; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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