Abstract
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.
Keywords
Publication details
- DOI
- 10.24200/jon.2022.1026
- Journal
- Journal of Nuclear Research and Applications, 2(4), 1-6
- Publisher
- Nuclear Science and Technology Research Institute (NSTRI)
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Nia, M. M., & Shojaei, M. R. (2022). The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential. Journal of Nuclear Research and Applications, 2(4), 1-6. https://doi.org/10.24200/jon.2022.1026
MLA 9
Nia, Mahdieh Mirzaei, and Mohammad Reza Shojaei. "The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential." Journal of Nuclear Research and Applications, vol. 2, no. 4, 2022, pp. 1-6. https://doi.org/10.24200/jon.2022.1026.
Chicago (author–date)
Nia, Mahdieh Mirzaei, and Mohammad Reza Shojaei. 2022. "The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential." Journal of Nuclear Research and Applications 2 (4): 1-6. https://doi.org/10.24200/jon.2022.1026.
Harvard
Nia, M. M. and Shojaei, M. R. (2022) 'The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential', Journal of Nuclear Research and Applications, 2(4), pp. 1-6. doi:10.24200/jon.2022.1026.
Vancouver
Nia MM, Shojaei MR. The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential. Journal of Nuclear Research and Applications. 2022;2(4):1-6. doi:10.24200/jon.2022.1026
IEEE
M. M. Nia, and M. R. Shojaei, "The Λ-core model for studying the binding energies of Λ-hypernuclei under pseudo-spin symmetry using the Hellmann potential," Journal of Nuclear Research and Applications, vol. 2, no. 4, pp. 1-6, 2022, doi: 10.24200/jon.2022.1026.