Research ArticlesNo Access

Matching polynomial tails to the cut-off Woods–Saxon potential

Á. Baran

Faculty of Informatics, University of Debrecen, P. O. Box 12, Debrecen, H–4010, Hungary

E-mail Address: baran.agnes@inf.unideb.hu

Search for more papers by this author

and

T. Vertse

http://orcid.org/0000-0003-1962-0800

MTA Institute for Nuclear Research, P. O. Box 51, Debrecen, H–4001, Hungary

E-mail Address: vertse@atomki.hu

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S0218301317500781Cited by:2 (Source: Crossref)

Abstract

Cutting off the tail of the Woods–Saxon (WS) and generalized WS (GWS) potentials changes the distribution of the poles of the $S$ $S$ -matrix considerably. Here, we modify the tail of the cut-off WS (CWS) and cut-off generalized WS (CGWS) potentials by attaching Hermite polynomial tails to them beyond the cut. The tails reach the zero value more or less smoothly at the finite ranges of the potential. Reflections of the resonant wave functions can take place at different distances. The starting points of the pole trajectories have been reproduced not only for the real values and the moduli of the starting points, but also for the imaginary parts.

Keywords:

PACS: 21.10.Pc, 25.40.Dn

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. N. Michel, W. Nazarewicz, M. Ploszajczak and T. Vertse, J. Phys. G. 36 (2009) 013101. Crossref, Web of Science, ADS, Google Scholar
2. K. Fossez, N. Michel, M. Ploszajczak, Y. Jaganathen and R. M. Id. Betan, Phys. Rev. C 91 (2015) 034609. Crossref, Web of Science, ADS, Google Scholar
3. Gy. Bencze, Comment. Phys.-Math. 31 (1966) 4. Google Scholar
4. P. Salamon, Á. Baran and T. Vertse, Nucl. Phys. A 952 (2016) 1. Crossref, Web of Science, ADS, Google Scholar
5. Á. Baran, C. Noszály, P. Salamon and T. Vertse, Eur. Phys. J. A 51 (2015) 76. Crossref, Web of Science, ADS, Google Scholar
6. R. G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982). Crossref, Google Scholar
7. T. Regge, Il Nuovo Cimento 8 (1958) 671. Crossref, Web of Science, ADS, Google Scholar
8. O. Bayrak and E. Aciksoz, Phys. Scr. 90 (2015) 015302. Crossref, Web of Science, ADS, Google Scholar
9. Á. Baran, C. Noszály and T. Vertse, JOZSO, a renewed version of the computer code GAMOW for calculating broad neutron resonances in phenomenological nuclear potentials, to appear in Comput. Phys. Commun., arXiv:submit/2069009[nucl-th]. Google Scholar
10. P. Salamon, R. G. Lovas, R. M. I. Betan, T. Vertse and L. Balkay, Phys. Rev. C 89 (2014) 054609. Crossref, Web of Science, ADS, Google Scholar
11. L. G. Ixaru, M. Rizea and T. Vertse, Comput. Phys. Commun. 85 (1995) 217. Crossref, Web of Science, ADS, Google Scholar
12. T. Vertse, K. F. Pál and Z. Balogh, Comput. Phys. Commun. 27 (1982) 309. Crossref, Web of Science, ADS, Google Scholar
13. L. G. Ixaru, Numerical Methods for Differential Equations (D. Reidel, Dordrecht, Boston, Lancaster, 1984). Google Scholar