2024-03-29T05:51:20Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/408652021-06-24T07:22:37Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
An approximation to the Woods–Saxon potential based on a contact interaction
Romaniega Sancho, César
Gadella Urquiza, Manuel
Id Betan, R. M.
Nieto Calzada, Luis Miguel
Producción Científica
We study a non-relativistic particle subject to a three-dimensional spherical potential consisting of a finite well and a radial δ−δ′ contact interaction at the well edge. This contact potential is defined by appropriate matching conditions for the radial functions, thereby fixing a self-adjoint extension of the non-singular Hamiltonian. Since this model admits exact solutions for the wave function, we are able to characterize and calculate the number of bound states. We also extend some well-known properties of certain spherically symmetric potentials and describe the resonances, defined as unstable quantum states. Based on the Woods–Saxon potential, this configuration is implemented as a first approximation for a mean-field nuclear model. The results derived are tested with experimental and numerical data in the double magic nuclei 132Sn and 208Pb with an extra neutron.
2020-05-16T11:12:42Z
2020-05-16T11:12:42Z
2020
info:eu-repo/semantics/article
The European Physical Journal Plus, 2020, vol. 135. 17 p.
2190-5444
http://uvadoc.uva.es/handle/10324/40865
10.1140/epjp/s13360-020-00388-7
4
The European Physical Journal Plus
135
2190-5444
eng
https://link.springer.com/article/10.1140%2Fepjp%2Fs13360-020-00388-7
info:eu-repo/semantics/openAccess
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