Clustering energy calculation in light alpha-conjugated nuclei

Roshanbakht, Nafiseh; Shojaei, Mohammad Reza

doi:10.1139/cjp-2019-0468

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The Review Of Parametric Nikiforov-uvarov Methods1

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2022

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“…The PNU method is a shortcut to the NU method, which has been used to solve Schrödinger [16], Dirac [17], and Klein-Gordon [18] wave equations. It is a way to make the application of the NU method easier without any requirement to check the validity of the solution [12].…”

Section: The Review Of Parametric Nikiforov-uvarov Methodsmentioning

confidence: 99%

The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential

Nia

Shojaei

2022

Jonra

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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 corresponding 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 applies to the Λ-hypernuclei.

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