R-matrix method and the nonlocal nucleon optical potential

Doan Thi Loan, Nguyen Hoang Phuc, Dao Tien Khoa
Author affiliations

Authors

  • Doan Thi Loan Institute for Nuclear Science and Technology, VINATOM 179 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
  • Nguyen Hoang Phuc Institute for Nuclear Science and Technology, VINATOM 179 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
  • Dao Tien Khoa Institute for Nuclear Science and Technology, VINATOM 179 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/28/4/12760

Keywords:

Nonlocality, nucleon optical potential, R-matrix method.

Abstract

The calculable R-matrix method is applied to solve the Schr ̈odinger equation
in the optical model (OM) analysis of the elastic nucleon-nucleus scatter-
ing using a nonlocal nucleon optical potential (OP). The phenomenological
nonlocal nucleon OP proposed by Perey and Buck (PB), and the two recent
versions of the PB parametrization were used in the present OM study of the
elastic nucleon scattering on 208 Pb and 27 Al targets at different energies. The
comparison of the OM results given by the calculable R-matrix method with
those given by other methods confirms that the calculable R-matrix method
is an efficient tool for the OM study of the elastic nucleon-nucleus scattering
using a nonlocal nucleon OP.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

G. R. Satchler, Direct Nuclear Reactions, Clarendon Press Oxford, New York (1983).

R. L. Varner, W. J. Thompson, T. L. McAbee, E. J. Ludwig, and T. B. Clegg, Phys. Rep., 201 (1991) 57. DOI: https://doi.org/10.1016/0370-1573(91)90039-O

A. Koning and J. Delaroche, Nucl. Phys. A, 713 (2003) 231. DOI: https://doi.org/10.1016/S0375-9474(02)01321-0

H. Feshbach, Theoretical Nuclear Physics, Vol. II, Wiley, New York, (1992).

K. Amos, P. J. Dortmans, S. Karataglidis, H. V. von Geramb, and J. Raynal, Adv. Nucl. Phys., 25 (2001) 275.

F. A. Brieva, and J. R. Rook, Nucl. Phys. A, 291 (1977) 299; Nucl. Phys. A, 291 (1977) 317. DOI: https://doi.org/10.1016/0375-9474(77)90323-2

D. T. Khoa, E. Khan, G. Col`o, and N. V. Giai, Nucl. Phys. A, 706 (2002) 61. DOI: https://doi.org/10.1016/S0375-9474(02)00866-7

M. E. Brandan and G. R. Satchler, Phys. Rep., 285 (1997) 143. DOI: https://doi.org/10.1016/S0370-1573(96)00048-8

F. Perey and B. Buck, Nucl. Phys., 32 (1962) 353. DOI: https://doi.org/10.1016/0029-5582(62)90345-0

B. T. Kim and T. Udagawa, Phys. Rev. C, 42 (1990) 1147. DOI: https://doi.org/10.1103/PhysRevC.42.1147

K. Minomo, K. Ogata, M. Kohno, Y. R. Shimizu, and M. Yahiro, J. Phys. G, 37 (2010) 085011. DOI: https://doi.org/10.1088/0954-3899/37/8/085011

Y. Tian, D. Y. Pang, and Z. Y. Ma, Int. J. Mod. Phys. E, 24 (2015) 1550006. DOI: https://doi.org/10.1142/S0218301315500068

A. E. Lovell, P. L. Bacq, P. Capel, F. M. Nunes, and L. J. Titus, Phys. Rev. C, 96 (2017) 051601(R). DOI: https://doi.org/10.1103/PhysRevC.96.051601

P. Descouvemont and D. Baye, Rep. Prog. Phys., 73 (2010) 36301. DOI: https://doi.org/10.1088/0034-4885/73/3/036301

P. Descouvemont, Comp. Phys. Comm., 200 (2016) 199. DOI: https://doi.org/10.1016/j.cpc.2015.10.015

B. T. Kim, M.C. Kyum, S. W. Hong, M. H. Park, and T. Udagawa, Comp. Phys. Comm., 71 (1992) 150. DOI: https://doi.org/10.1016/0010-4655(92)90080-I

L. J. Titus, A. Ross, and F. M. Nunes, Comp. Phys. Comm., 207 (2016) 499. DOI: https://doi.org/10.1016/j.cpc.2016.06.022

J. Raynal, Computing as a Language of Physics, IAEA, Vienna (1972) p.75; Notes on DWBA98 code (unpublished).

B. A. Robson, Nucl. Phys. A, 132 (1969) 5. DOI: https://doi.org/10.1016/0375-9474(69)90608-3

L. F. Hansen, F. S. Dietrich, B. A. Pohl, C. H. Poppe, and C. Wong, Phys. Rev. C, 31 (1985) 111. DOI: https://doi.org/10.1103/PhysRevC.31.111

R. W. Finlay, J. R. M. Annand, T. S. Cheema, J. Rapaport, and F. S. Dietrich, Phys. Rev. C, 30 (1984) 796. DOI: https://doi.org/10.1103/PhysRevC.30.796

J. Rapaport, T. S. Cheema, D. E. Bainum, R. W. Finlay, and J. D. Carlson, Nucl. Phys. A, 313 (1979) 1. DOI: https://doi.org/10.1016/0375-9474(79)90565-7

R. P. DeVito, Sam M. Austin, W. Sterrenburg, and U. E. P. Berg, Phys. Rev. Lett., 47 (1981) 628. DOI: https://doi.org/10.1103/PhysRevLett.47.628

L. J. Titus, F. M. Nunes, and G. Potel, Phys. Rev. C, 93 (2016) 014604. DOI: https://doi.org/10.1103/PhysRevC.93.014604

R. P. DeVito, D. T. Khoa, S. M. Austin, U. E. P. Berg, and B. M. Loc, Phys. Rev. C, 85 (2012) 024619.

W. T. H. van Oers, Huang Haw, N. E. Davison, A. Ingemarsson, B. Fagerstrm, and G. Tibell, Phys. Rev. C, 10 (1974) 307. DOI: https://doi.org/10.1103/PhysRevC.10.307

L. N. Blumberg, E. E. Gross, A. VAN DER Woude, A. Zucker, and R. H. Bassel, Phys. Rev., 147 (1966) 812.

J. S. Petler, M. S. Islam, R. W. Finlay, and F. S. Dietrich, Phys. Rev. C, 32 (1985) 673. DOI: https://doi.org/10.1103/PhysRevC.32.673

Downloads

Published

27-12-2018

How to Cite

[1]
D. T. Loan, N. H. Phuc, and D. T. Khoa, “R-matrix method and the nonlocal nucleon optical potential”, Comm. Phys., vol. 28, no. 4, p. 323, Dec. 2018.

Issue

Section

Papers
Received 13-07-2018
Accepted 12-09-2018
Published 27-12-2018