Stable bound states of N’s, Λ’s and Ξ’s

• H. Garcilazo ^[1] ; A. Valcarce ^[2] ; J. Vijande ^[3]
  1. [1] Instituto Politécnico Nacional

     Instituto Politécnico Nacional

     México

     
  2. [2] Universidad de Salamanca

     Universidad de Salamanca

     Salamanca, España

     
  3. [3] Instituto de Investigación Sanitaria La Fe

     Instituto de Investigación Sanitaria La Fe

     Valencia, España

     

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• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 63, Nº. 5, 2017, págs. 411-422
• Idioma: inglés
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• Resumen

  • We review our recent work about the stability of strange few-body systems containing N’s, Λ’s, and Ξ’s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three- and four-body bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, Λnp (I)J^(P) = (1/2)1/2^(+), is bound by 144 keV; the recently discussed Λnn (I)J^(P) = (1/2)1/2^(+) system is unbound, as well as the ΛΛnn (I)J^(P) = (1)0^(+) system, being just above threshold. Our results indicate that the ΞNN, ΞΞN and ΞΞNN systems with maximal isospin might be bound.