https://doi.org/10.1140/epja/i2017-12342-2
Regular Article - Theoretical Physics
Smoothed square well potential
1
Institute for Nuclear Research Hungarian Academy of Sciences (ATOMKI), PO Box 51, H-4001, Debrecen, Hungary
2
University of Debrecen, Faculty of Informatics, PO Box 12, H-4010, Debrecen, Hungary
* e-mail: vertse@atomki.hu
Received:
4
May
2017
Accepted:
17
June
2017
Published online:
19
July
2017
The classical square well potential is smoothed with a finite range smoothing function in order to get a new simple strictly finite range form for the phenomenological nuclear potential. The smoothed square well form becomes exactly zero smoothly at a finite distance, in contrast to the Woods-Saxon form. If the smoothing range is four times the diffuseness of the Woods-Saxon shape both the central and the spin-orbit terms of the Woods-Saxon shape are reproduced reasonably well. The bound single-particle energies in a Woods-Saxon potential can be well reproduced with those in the smoothed square well potential. The same is true for the complex energies of the narrow resonances.
© SIF, Springer-Verlag GmbH Germany, 2017
