Testing the Perey effect
Abstract
Here, the effects of non-local potentials have historically been approximately included by applying a correction factor to the solution of the corresponding equation for the local equivalent interaction. This is usually referred to as the Perey correction factor. In this work we investigate the validity of the Perey correction factor for single-channel bound and scattering states, as well as in transfer (p, d) cross sections. Method: We solve the scattering and bound state equations for non-local interactions of the Perey-Buck type, through an iterative method. Using the distorted wave Born approximation, we construct the T-matrix for (p,d) on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV. As a result, we found that for bound states, the Perey corrected wave function resulting from the local equation agreed well with that from the non-local equation in the interior region, but discrepancies were found in the surface and peripheral regions. Overall, the Perey correction factor was adequate for scattering states, with the exception of a few partial waves corresponding to the grazing impact parameters. These differences proved to be important for transfer reactions. In conclusion, the Perey correction factor does offer an improvement over taking a direct local equivalentmore »
- Authors:
-
- Michigan State Univ., East Lansing, MI (United States)
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1332498
- Grant/Contract Number:
- FG52-08NA28552
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C, Nuclear Physics
- Additional Journal Information:
- Journal Volume: 89; Journal Issue: 3; Journal ID: ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Titus, L. J., and Nunes, Filomena M. Testing the Perey effect. United States: N. p., 2014.
Web. doi:10.1103/PhysRevC.89.034609.
Titus, L. J., & Nunes, Filomena M. Testing the Perey effect. United States. https://doi.org/10.1103/PhysRevC.89.034609
Titus, L. J., and Nunes, Filomena M. Wed .
"Testing the Perey effect". United States. https://doi.org/10.1103/PhysRevC.89.034609. https://www.osti.gov/servlets/purl/1332498.
@article{osti_1332498,
title = {Testing the Perey effect},
author = {Titus, L. J. and Nunes, Filomena M.},
abstractNote = {Here, the effects of non-local potentials have historically been approximately included by applying a correction factor to the solution of the corresponding equation for the local equivalent interaction. This is usually referred to as the Perey correction factor. In this work we investigate the validity of the Perey correction factor for single-channel bound and scattering states, as well as in transfer (p, d) cross sections. Method: We solve the scattering and bound state equations for non-local interactions of the Perey-Buck type, through an iterative method. Using the distorted wave Born approximation, we construct the T-matrix for (p,d) on 17O, 41Ca, 49Ca, 127Sn, 133Sn, and 209Pb at 20 and 50 MeV. As a result, we found that for bound states, the Perey corrected wave function resulting from the local equation agreed well with that from the non-local equation in the interior region, but discrepancies were found in the surface and peripheral regions. Overall, the Perey correction factor was adequate for scattering states, with the exception of a few partial waves corresponding to the grazing impact parameters. These differences proved to be important for transfer reactions. In conclusion, the Perey correction factor does offer an improvement over taking a direct local equivalent solution. However, if the desired accuracy is to be better than 10%, the exact solution of the non-local equation should be pursued.},
doi = {10.1103/PhysRevC.89.034609},
journal = {Physical Review C, Nuclear Physics},
number = 3,
volume = 89,
place = {United States},
year = {Wed Mar 12 00:00:00 EDT 2014},
month = {Wed Mar 12 00:00:00 EDT 2014}
}
Web of Science
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