Finite-size instabilities in finite-range forces

C. Gonzalez-Boquera, M. Centelles, X. Viñas, and L. M. Robledo
Phys. Rev. C 103, 064314 – Published 14 June 2021

Abstract

It has been recently shown that some Gogny finite-range interactions suffer from finite-size instabilities in coordinate-space calculations [Eur. Phys. J. A 55, 150 (2019)]. We confirm this finding by using the Hartree-Fock (HF) method in the quasilocal approximation to finite-range forces. The use of the quasilocal approximation substantially simplifies the calculations as compared with those including the exact exchange contribution to the energy and HF fields. The quantity most affected by the finite-size instabilities in the coordinate-space calculations is the spatial density at the origin that wildly oscillates as the HF iterative process proceeds. In addition to the recent D1M* parametrization of the Gogny force, we find that the D1M parametrization also shows this deficiency in several nuclei. We find that the harmonic-oscillator basis with its ultraviolet cutoff provides converged results in a wide and realistic range of basis sizes. This result serves as a justification of the numerous calculations with D1M and D1M* in finite nuclei that show no trace of instability.

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  • Received 17 February 2021
  • Accepted 24 May 2021

DOI:https://doi.org/10.1103/PhysRevC.103.064314

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

C. Gonzalez-Boquera1,*, M. Centelles1,†, X. Viñas1,‡, and L. M. Robledo2,3,§

  • 1Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, E-08028 Barcelona, Spain
  • 2Departamento de Física Teórica and CIAFF, Universidad Autónoma de Madrid, E-28049 Madrid, Spain
  • 3Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Montegancedo, Boadilla del Monte, E-28660 Madrid, Spain

  • *claugb@fqa.ub.edu
  • mariocentelles@ub.edu
  • xavier@fqa.ub.edu
  • §luis.robledo@uam.es

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Issue

Vol. 103, Iss. 6 — June 2021

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