%0 Journal Article
%T The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential
%J Journal of Nuclear Research and Applications
%I Nuclear Science and Technology Research Institute
%Z 2783-3402
%A Mirzaei Nia, Mahdieh
%A Shojaei, Mohammad Reza
%D 2022
%\ 06/12/2022
%V
%N
%P -
%! The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential
%K Hypernuclei
%K &Lambda
%K -Hyperon
%K Dirac equation
%K Pseudo-spin symmetry
%K Nikiforov-Uvarov method
%R
%X We have studied the binding energies of a group of single Λ-hypernuclei in a relativistic approach and modeled the single Λ-hypernuclei as a Λ-core binary system. Since the Hellmann potential is ideal for defining nucleon-core interaction and the single Λ-hypernuclei can be assumed as a single nucleon coupled to the whole nuclei but does not suffer from Pauli blocking, we have selected this potential for interaction between the Λ particle and the core. The time-independent Dirac equation is a reasonable option for defining the relativistic bound states that correspond to a spin-1/2 Λ hyperon in the hypernuclei. We solved this equation by using the Hellmann potential under the presence of pseudo-spin symmetry in terms of the generalized parametric Nikiforov-Uvarov method, a way to make the application of the Nikiforov-Uvarov method as plain as possible. Our results were in good agreement with experimental values and other theoretical works. Hence, this model is applicable for the Λ-hypernuclei.
%U