### Abstract

The positions of the l=. 0 S-matrix poles are calculated in generalized Woods-Saxon (GWS) potential and in cut-off generalized Woods-Saxon (CGWS) potential. The solutions of the radial equations are calculated numerically for the CGWS potential and analytically for GWS using the formalism of Gy. Bencze [1]. We calculate CGWS and GWS cases at small non-zero values of the diffuseness in order to approach the square well potential and to be able to separate effects of the radius parameter and the cut-off radius parameter. In the case of the GWS potential the wave functions are reflected at the nuclear radius therefore the distances of the resonant poles depend on the radius parameter of the potential. In CGWS potential the wave function can be reflected at larger distance where the potential is cut to zero and the derivative of the potential does not exist. The positions of most of the resonant poles do depend strongly on the cut-off radius of the potential, which is an unphysical parameter. Only the positions of the few narrow resonances in potentials with barrier are not sensitive to the cut-off distance. For the broad resonances the effect of the cut-off cannot be corrected by using a suggested analytical form of the first order perturbation correction.

Original language | English |
---|---|

Pages (from-to) | 1-17 |

Number of pages | 17 |

Journal | Nuclear Physics A |

Volume | 952 |

DOIs | |

Publication status | Published - Aug 1 2016 |

### Fingerprint

### Keywords

- Potentials
- S-matrix
- Woods-Saxon potential

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*952*, 1-17. https://doi.org/10.1016/j.nuclphysa.2016.04.010

**Distributions of the S-matrix poles in Woods-Saxon and cut-off Woods-Saxon potentials.** / Salamon, P.; Baran, ; Vertse, T.

Research output: Contribution to journal › Article

*Nuclear Physics A*, vol. 952, pp. 1-17. https://doi.org/10.1016/j.nuclphysa.2016.04.010

}

TY - JOUR

T1 - Distributions of the S-matrix poles in Woods-Saxon and cut-off Woods-Saxon potentials

AU - Salamon, P.

AU - Baran,

AU - Vertse, T.

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The positions of the l=. 0 S-matrix poles are calculated in generalized Woods-Saxon (GWS) potential and in cut-off generalized Woods-Saxon (CGWS) potential. The solutions of the radial equations are calculated numerically for the CGWS potential and analytically for GWS using the formalism of Gy. Bencze [1]. We calculate CGWS and GWS cases at small non-zero values of the diffuseness in order to approach the square well potential and to be able to separate effects of the radius parameter and the cut-off radius parameter. In the case of the GWS potential the wave functions are reflected at the nuclear radius therefore the distances of the resonant poles depend on the radius parameter of the potential. In CGWS potential the wave function can be reflected at larger distance where the potential is cut to zero and the derivative of the potential does not exist. The positions of most of the resonant poles do depend strongly on the cut-off radius of the potential, which is an unphysical parameter. Only the positions of the few narrow resonances in potentials with barrier are not sensitive to the cut-off distance. For the broad resonances the effect of the cut-off cannot be corrected by using a suggested analytical form of the first order perturbation correction.

AB - The positions of the l=. 0 S-matrix poles are calculated in generalized Woods-Saxon (GWS) potential and in cut-off generalized Woods-Saxon (CGWS) potential. The solutions of the radial equations are calculated numerically for the CGWS potential and analytically for GWS using the formalism of Gy. Bencze [1]. We calculate CGWS and GWS cases at small non-zero values of the diffuseness in order to approach the square well potential and to be able to separate effects of the radius parameter and the cut-off radius parameter. In the case of the GWS potential the wave functions are reflected at the nuclear radius therefore the distances of the resonant poles depend on the radius parameter of the potential. In CGWS potential the wave function can be reflected at larger distance where the potential is cut to zero and the derivative of the potential does not exist. The positions of most of the resonant poles do depend strongly on the cut-off radius of the potential, which is an unphysical parameter. Only the positions of the few narrow resonances in potentials with barrier are not sensitive to the cut-off distance. For the broad resonances the effect of the cut-off cannot be corrected by using a suggested analytical form of the first order perturbation correction.

KW - Potentials

KW - S-matrix

KW - Woods-Saxon potential

UR - http://www.scopus.com/inward/record.url?scp=84962919849&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84962919849&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2016.04.010

DO - 10.1016/j.nuclphysa.2016.04.010

M3 - Article

VL - 952

SP - 1

EP - 17

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

ER -