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Beyond-mean-field effective masses in the nuclear Fermi liquid from axial breathing modes

M. Grasso, D. Gambacurta, and O. Vasseur
Phys. Rev. C 98, 051303(R) – Published 27 November 2018

Abstract

Axial breathing modes are studied within the nuclear energy-density-functional theory to discuss the modification of the nucleon effective mass produced beyond the mean-field approximation. This analysis is performed with the subtracted second random-phase approximation (SSRPA) model applied to two nuclei, Ca48 and Zr90. Analyzing the centroid energies of axial breathing modes obtained with the mean-field-based random-phase approximation and with the beyond-mean-field SSRPA model, we estimate the modification (enhancement) of the effective mass which is induced beyond the mean field. This is done by employing a relation, obtained with the Landau's Fermi liquid theory, between the excitation frequency of axial modes and m/m*, where m (m*) is the bare (effective) mass. Such an enhancement of the effective mass is discussed in connection with the renormalization of single-particle excitation energies generated by the energy-dependent SSRPA self-energy correction. We find that the effective beyond-mean-field compression of the single-particle spectrum produced by the self-energy correction is coherent with the increase of the effective mass estimated from the analysis of axial breathing modes.

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  • Received 11 April 2018
  • Revised 1 August 2018

DOI:https://doi.org/10.1103/PhysRevC.98.051303

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

M. Grasso1, D. Gambacurta2, and O. Vasseur1

  • 1Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay, France
  • 2Extreme Light Infrastructure - Nuclear Physics (ELI-NP), Horia Hulubei National Institute for Physics and Nuclear Engineering, 30 Reactorului Street, RO-077125 Magurele, Ilfov, Romania

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Issue

Vol. 98, Iss. 5 — November 2018

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