RT info:eu-repo/semantics/article
T1 An approximation to the Woods–Saxon potential based on a contact interaction
A1 Romaniega Sancho, César
A1 Gadella Urquiza, Manuel
A1 Id Betan, R. M.
A1 Nieto Calzada, Luis Miguel
AB 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.
PB Springer
SN 2190-5444
YR 2020
FD 2020
LK http://uvadoc.uva.es/handle/10324/40865
UL http://uvadoc.uva.es/handle/10324/40865
LA eng
NO The European Physical Journal Plus, 2020, vol. 135. 17 p.
NO Producción Científica
DS UVaDOC
RD 24-nov-2024