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Title: Transfer reaction code with nonlocal interactions

Abstract

We present a suite of codes (NLAT for nonlocal adiabatic transfer) to calculate the transfer cross section for single-nucleon transfer reactions, (d,N)(d,N) or (N,d)(N,d), including nonlocal nucleon–target interactions, within the adiabatic distorted wave approximation. For this purpose, we implement an iterative method for solving the second order nonlocal differential equation, for both scattering and bound states. The final observables that can be obtained with NLAT are differential angular distributions for the cross sections of A(d,N)BA(d,N)B or B(N,d)AB(N,d)A. Details on the implementation of the TT-matrix to obtain the final cross sections within the adiabatic distorted wave approximation method are also provided. This code is suitable to be applied for deuteron induced reactions in the range of View the MathML sourceEd=10–70MeV, and provides cross sections with 4% accuracy.

Authors:
 [1];  [1];  [1]
  1. 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:
1332501
Grant/Contract Number:
FG52-08NA28552
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 207; Journal Issue: C; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; transfer reactions; adiabatic distorted wave approximation; nonlocal interactions

Citation Formats

Titus, L. J., Ross, A., and Nunes, F. M. Transfer reaction code with nonlocal interactions. United States: N. p., 2016. Web. doi:10.1016/j.cpc.2016.06.022.
Titus, L. J., Ross, A., & Nunes, F. M. Transfer reaction code with nonlocal interactions. United States. doi:10.1016/j.cpc.2016.06.022.
Titus, L. J., Ross, A., and Nunes, F. M. 2016. "Transfer reaction code with nonlocal interactions". United States. doi:10.1016/j.cpc.2016.06.022. https://www.osti.gov/servlets/purl/1332501.
@article{osti_1332501,
title = {Transfer reaction code with nonlocal interactions},
author = {Titus, L. J. and Ross, A. and Nunes, F. M.},
abstractNote = {We present a suite of codes (NLAT for nonlocal adiabatic transfer) to calculate the transfer cross section for single-nucleon transfer reactions, (d,N)(d,N) or (N,d)(N,d), including nonlocal nucleon–target interactions, within the adiabatic distorted wave approximation. For this purpose, we implement an iterative method for solving the second order nonlocal differential equation, for both scattering and bound states. The final observables that can be obtained with NLAT are differential angular distributions for the cross sections of A(d,N)BA(d,N)B or B(N,d)AB(N,d)A. Details on the implementation of the TT-matrix to obtain the final cross sections within the adiabatic distorted wave approximation method are also provided. This code is suitable to be applied for deuteron induced reactions in the range of View the MathML sourceEd=10–70MeV, and provides cross sections with 4% accuracy.},
doi = {10.1016/j.cpc.2016.06.022},
journal = {Computer Physics Communications},
number = C,
volume = 207,
place = {United States},
year = 2016,
month = 7
}

Journal Article:
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  • We present a suite of codes (NLAT for nonlocal adiabatic transfer) to calculate the transfer cross section for single-nucleon transfer reactions, (d,N)(d,N) or (N,d)(N,d), including nonlocal nucleon–target interactions, within the adiabatic distorted wave approximation. For this purpose, we implement an iterative method for solving the second order nonlocal differential equation, for both scattering and bound states. The final observables that can be obtained with NLAT are differential angular distributions for the cross sections of A(d,N)BA(d,N)B or B(N,d)AB(N,d)A. Details on the implementation of the TT-matrix to obtain the final cross sections within the adiabatic distorted wave approximation method are also provided.more » This code is suitable to be applied for deuteron induced reactions in the range of View the MathML sourceEd=10–70MeV, and provides cross sections with 4% accuracy.« less
  • A target of /sup 232/Th has been bombarded with 114 MeV /sup 22/Ne and with 114 MeV and 129 MeV /sup 20/Ne beams. Recoiling reaction products were chemically isolated and the cross sections for protactinium, uranium, and neptunium isotopes were determined. The width of the cross section distributions for a given Z and their neutron-richness are the same as those for similar transfers in Ne+ /sup 248/Cm reactions. Population of low spin isomeric states is favored in these reactions over population of high spin states. As was seen in reactions with heavier targets, an increase in reaction energy does littlemore » to shift the evaporation residues toward neutron deficiency. The implications are that only primary products with little or no excitation energy and angular momentum survive the fission process to become evaporation residues in these systems, and that the production of these nuclides is more controlled by the change in the identity of the projectile than by the corresponding change in the target.« less
  • The contributions of the ordinary current--current weak interaction and a pure nu nu interaction to the spectrum of mu decay to second order are analyzed in the framework of a non-local theory of weak interactions. Comparison of the obtained results with experimertal data allows an upper bound on the coupling constant of the nu nu interaction to be established. (auth)