Relativistic description of Λ, Σ, and Ξ hypernuclei

Abstract

Characteristics of A, Z, and:hypernuclei are investigated within the relativistic mean-field theory. The spin-orbit splitting is very sensitive to the value of tensor coupling f & A. selfconsistent treatment together with elimination of the hyperon self-coupling contribution is crucial for determining the V~c ontribution to the hyperon binding.

Compatibility of Neutron Star Masses and Hyperon Coupling Constants

“…AS far as the comparison with relativistic calculations of hypernuclei is concerned, one has restricted oneself to the use of the RH and has fixed furthermore the vector couplings to the SU(6) values and adjusted x a A to the binding energy of a A in the s-state of \ 7 0. One has obtained, for instance in [18], x aA = 0.621, x a j. = 0.621 and x a z = 0.375, which agrees rather well with RH1, if one takes into consideration that the nucleonic sector was parametrized differently, namely via using NL-SH [9].…”

Quadrupole deformation(β,γ)of lightΛhypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of theLü1, Zhao2, Zhou3 2011Phys. Rev. C

“…The self-consistent mean field models, either the nonrelativistic [26][27][28][29] or the relativistic ones [30][31][32][33][34][35][36][37][38][39][40][41][42], have been extensively used to reproduce the available hypernuclear data and/or make various predictions for hypernuclei. Up to now most of these studies focus on spherical systems.…”

Medium modifications of baryon properties in nuclear matter and hypernuclei

“…This is different from the treatment of Λ hypernuclei in the RMF model. Most studies of hypernuclei in the RMF model are performed by treating meson-hyperon couplings as phenomenological parameters, which are determined by experimental data [42][43][44][45]. In the present calculation, the basic parameters are the quark-meson couplings, and the effective meson-hyperon couplings are obtained self-consistently at the quark level.…”

“…It is seen that the reduction of M * Λ is smaller than that of M * N , because only two of the three quarks in the Λ hyperon are affected by the σ mean field. We note that the dependence of the effective baryon mass on the σ mean field is calculated self-consistently within the FL model, and therefore the ratio between the variation of the effective mass for Λ and that for N is not as simple as a constant obtained in the RMF models [42,43]. In Fig.…”

“…Theoretically, the properties of Λ hypernuclei have been investigated based on various models. The RMF models have been successfully applied to describe hypernuclei with adjustable meson-hyperon couplings and tensor couplings [42][43][44][45][46]. The properties of Λ hypernuclei have also been examined in the QMC and QMF models [15,16,21], where both the nucleon and Λ are the composites of three quarks.…”