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Título
An approximation to the Woods–Saxon potential based on a contact interaction
Año del Documento
2020
Editorial
Springer
Descripción
Producción Científica
Documento Fuente
The European Physical Journal Plus, 2020, vol. 135. 17 p.
Abstract
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.
ISSN
2190-5444
Revisión por pares
SI
Version del Editor
Propietario de los Derechos
© 2020 Springer
Idioma
eng
Tipo de versión
info:eu-repo/semantics/acceptedVersion
Derechos
openAccess
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