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Effects of the two-body and three-body hyperon-nucleon interactions in Λ hypernuclei

D. Lonardoni, S. Gandolfi, and F. Pederiva
Phys. Rev. C 87, 041303(R) – Published 8 April 2013

Abstract

Background: The calculation of the hyperon binding energy in hypernuclei is crucial to understanding the interaction between hyperons and nucleons.

Purpose: We assess the relative importance of two- and three-body hyperon-nucleon force by studying the effect of the hyperon-nucleon-nucleon interaction in closed shell Λ hypernuclei from A = 5 to 91.

Methods: The Λ binding energy has been calculated using the auxiliary field diffusion Monte Carlo method for the first time, to study light and heavy hypernuclei within the same model.

Results: Our results show that including a three-body component in the hyperon-nucleon interaction leads to a saturation of the Λ binding energy remarkably close to the experimental data. In contrast, the two-body force alone gives an unphysical limit for the binding energy.

Conclusions: The repulsive contribution of the three-body hyperon-nucleon-nucleon force is essential to reproduce, even qualitatively, the binding energy of hypernuclei in the mass range considered.

  • Figure
  • Figure
  • Received 5 February 2013

DOI:https://doi.org/10.1103/PhysRevC.87.041303

©2013 American Physical Society

Authors & Affiliations

D. Lonardoni1,2, S. Gandolfi3, and F. Pederiva1,2

  • 1Dipartimento di Fisica, Università di Trento, via Sommarive, 14 I-38123 Trento, Italy
  • 2INFN - Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, I-38123 Trento, Italy
  • 3Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

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Issue

Vol. 87, Iss. 4 — April 2013

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