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Title: Establishing a theory for deuteron induced surrogate reactions

Abstract

Deuteron induced reactions serve as surrogates for neutron capture into compound states. Al- though these reactions are of great applicability, no theoretical efforts have been invested in this direction over the last decade. The goal of this work is to establish on firm grounds a theory for deuteron in-duced neutron capture reactions. This includes formulating elastic and inelastic breakup in a consistent manner. We describe this process both in post and prior form distorted wave Born approximation following previous works and discuss the differences in the formulation. While the convergence issues arising in the post formulation can be overcome in the prior formulation, in this case one still needs to take into account additional terms due to non-orthogonality. We apply our method to the 53Nb(d,p)X at Ed =15 MeV and 25 MeV, and are able to obtain a good description of the data. We look at the various partial wave contributions, as well as elastic versus inelastic contributions. We also connect our formulation with transfer to neutron bound states. In conclusion, our calculations demonstrate that the non-orthogonality term arising in the prior formulation is significant and is at the heart of the long-standing controversy between the post and the priormore » formulations of the theory. We also show that the cross sections for these reactions are angular momentum dependent and therefore the commonly used Weisskopf limit is inadequate. Finally we make important predictions for the relative contributions of elastic breakup and non-elastic breakup, and call for elastic breakup measurements to further constrain our model.« less

Authors:
 [1];  [2];  [3]
  1. Michigan State Univ., East Lansing, MI (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Michigan State Univ., East Lansing, MI (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1229807
Alternate Identifier(s):
OSTI ID: 1221679; OSTI ID: 1332504
Report Number(s):
LLNL-JRNL-674193
Journal ID: ISSN 0556-2813
Grant/Contract Number:  
AC52-07NA27344; FG52-08NA28552
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C, Nuclear Physics
Additional Journal Information:
Journal Volume: 92; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; surrogate reactions; neutron capture; deuteron induced reactions; elastic breakup; inelastic breakup

Citation Formats

Potel, G., Nunes, F. M., and Thompson, I. J. Establishing a theory for deuteron induced surrogate reactions. United States: N. p., 2015. Web. doi:10.1103/PhysRevC.92.034611.
Potel, G., Nunes, F. M., & Thompson, I. J. Establishing a theory for deuteron induced surrogate reactions. United States. https://doi.org/10.1103/PhysRevC.92.034611
Potel, G., Nunes, F. M., and Thompson, I. J. 2015. "Establishing a theory for deuteron induced surrogate reactions". United States. https://doi.org/10.1103/PhysRevC.92.034611. https://www.osti.gov/servlets/purl/1229807.
@article{osti_1229807,
title = {Establishing a theory for deuteron induced surrogate reactions},
author = {Potel, G. and Nunes, F. M. and Thompson, I. J.},
abstractNote = {Deuteron induced reactions serve as surrogates for neutron capture into compound states. Al- though these reactions are of great applicability, no theoretical efforts have been invested in this direction over the last decade. The goal of this work is to establish on firm grounds a theory for deuteron in-duced neutron capture reactions. This includes formulating elastic and inelastic breakup in a consistent manner. We describe this process both in post and prior form distorted wave Born approximation following previous works and discuss the differences in the formulation. While the convergence issues arising in the post formulation can be overcome in the prior formulation, in this case one still needs to take into account additional terms due to non-orthogonality. We apply our method to the 53Nb(d,p)X at Ed =15 MeV and 25 MeV, and are able to obtain a good description of the data. We look at the various partial wave contributions, as well as elastic versus inelastic contributions. We also connect our formulation with transfer to neutron bound states. In conclusion, our calculations demonstrate that the non-orthogonality term arising in the prior formulation is significant and is at the heart of the long-standing controversy between the post and the prior formulations of the theory. We also show that the cross sections for these reactions are angular momentum dependent and therefore the commonly used Weisskopf limit is inadequate. Finally we make important predictions for the relative contributions of elastic breakup and non-elastic breakup, and call for elastic breakup measurements to further constrain our model.},
doi = {10.1103/PhysRevC.92.034611},
url = {https://www.osti.gov/biblio/1229807}, journal = {Physical Review C, Nuclear Physics},
issn = {0556-2813},
number = ,
volume = 92,
place = {United States},
year = {Fri Sep 18 00:00:00 EDT 2015},
month = {Fri Sep 18 00:00:00 EDT 2015}
}

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Cited by: 71 works
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Works referenced in this record:

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Works referencing / citing this record:

Post-prior equivalence for transfer reactions with complex potentials
journal, January 2018


Toward a complete theory for predicting inclusive deuteron breakup away from stability
journal, September 2017


Comprehensive analysis of large α yields observed in Li 6 -induced reactions
journal, April 2017


Inclusive Proton Emission Spectra from Deuteron Breakup Reactions
journal, February 2016


Deuteron-induced reactions on Ni isotopes up to 60 MeV
journal, July 2016