Establishing a theory for deuteron induced surrogate reactions

Potel, G.; Nunes, F. M.; Thompson, I. J.

doi:10.1103/PhysRevC.92.034611

Title: Establishing a theory for deuteron induced surrogate reactions

Journal Article · Fri Sep 18 00:00:00 EDT 2015 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.92.034611· OSTI ID:1229807

Potel, G. ^[1]; Nunes, F. M. ^[2]; Thompson, I. J. ^[3]

Michigan State Univ., East Lansing, MI (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Michigan State Univ., East Lansing, MI (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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 E_d =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.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC52-07NA27344; FG52-08NA28552

OSTI ID:: 1229807

Alternate ID(s):: OSTI ID: 1221679; OSTI ID: 1332504

Report Number(s):: LLNL-JRNL-674193

Journal Information:: Physical Review C, Nuclear Physics, Vol. 92; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 71 works

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Cited By (9)

Post-prior equivalence for transfer reactions with complex potentials Lei, Jin; Moro, Antonio M. Physical Review C, Vol. 97, Issue 1 https://doi.org/10.1103/physrevc.97.011601	journal	January 2018
Toward a complete theory for predicting inclusive deuteron breakup away from stability Potel, G.; Perdikakis, G.; Carlson, B. V. The European Physical Journal A, Vol. 53, Issue 9 https://doi.org/10.1140/epja/i2017-12371-9	journal	September 2017
Comprehensive analysis of large $α$ yields observed in ${}^{6}{Li}$ -induced reactions Lei, Jin; Moro, Antonio M. Physical Review C, Vol. 95, Issue 4 https://doi.org/10.1103/physrevc.95.044605	journal	April 2017
Measurements of ${}^{59}{Co} (d, p) {}^{60 m, g}{Co}, {}^{51}V (d, p) {}^{52}V$ , and $^{nat} V (d, x n) {}^{51}{Cr}$ cross sections in the $2.7 - 5.4 − MeV$ energy range Kreisel, A.; Weissman, L.; Cohen, A. Physical Review C, Vol. 99, Issue 3 https://doi.org/10.1103/physrevc.99.034611	journal	March 2019
Inclusive Proton Emission Spectra from Deuteron Breakup Reactions Carlson, B. V.; Capote, R.; Sin, M. Few-Body Systems, Vol. 57, Issue 5 https://doi.org/10.1007/s00601-016-1054-8	journal	February 2016
Deuteron-induced reactions on Ni isotopes up to 60 MeV Avrigeanu, M.; Šimečková, E.; Fischer, U. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/physrevc.94.014606	journal	July 2016
Numerical assessment of post-prior equivalence for inclusive breakup reactions Lei, Jin; Moro, Antonio M. arXiv https://doi.org/10.48550/arxiv.1511.03214	text	January 2015
Additive empirical parametrization and microscopic study of the deuteron breakup Avrigeanu, M.; Avrigeanu, V. arXiv https://doi.org/10.48550/arxiv.1702.00560	text	January 2017
Post-prior equivalence for transfer reactions with complex potentials Lei, Jin; Moro, Antonio M. arXiv https://doi.org/10.48550/arxiv.1711.07540	text	January 2017

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
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neutron capture
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