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Title: Toward a complete theory for predicting inclusive deuteron breakup away from stability

Abstract

We present an account of the current status of the theoretical treatment of inclusive (d,p) reactions in the breakup-fusion formalism, pointing to some applications and making the connection with current experimental capabilities. Three independent implementations of the reaction formalism have been recently developed, making use of different numerical strategies. The codes also originally relied on two different but equivalent representations, namely the prior (Udagawa-Tamura, UT) and the post (Ichimura-Austern-Vincent, IAV) representations. The different implementations have been benchmarked, and then applied to the Ca isotopic chain. The neutron-Ca propagator is described in the Dispersive Optical Model (DOM) framework, and the interplay between elastic breakup (EB) and non-elastic breakup (NEB) is studied for three Ca isotopes at two different bombarding energies. The accuracy of the description of different reaction observables is assessed by comparing with experimental data of (d,p) on 40,48 Ca. We discuss the predictions of the model for the extreme case of an isotope ( 60 Ca) currently unavailable experimentally, though possibly available in future facilities (nominally within production reach at FRIB). We explore the use of (d,p) reactions as surrogates for (n,γ) processes, by using the formalism to describe the compound nucleus formation in a (d,pγ) reaction as amore » function of excitation energy, spin, and parity. The subsequent decay is then computed within a Hauser-Feshbach formalism. Comparisons between the (d,pγ) and (n,γ) induced gamma decay spectra are discussed to inform efforts to infer neutron captures from (d,pγ) reactions. Finally, we identify areas of opportunity for future developments, and discuss a possible path toward a predictive reaction theory.« less

Authors:
 [1];  [2];  [3];  [4];  [4];  [5];  [6];  [7];  [1];  [8];  [7];  [1];  [9];  [1]
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  1. Michigan State Univ., East Lansing, MI (United States)
  2. Michigan State Univ., East Lansing, MI (United States); Central Michigan Univ., Mount Pleasant, MI (United States); Joint Inst. for Nuclear Astrophysics (JINA), East Lansing, MI (United States). Center for the Evolution of the Elements (JINA-CEE)
  3. Inst. Tecnológico de Aeronáutica (Brazil)
  4. Washington Univ., St. Louis, MO (United States)
  5. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  6. Inst. Tecnológico de Aeronáutica (Brazil); Univ. of Sao Paulo (Brazil)
  7. Univ. de Sevilla (Spain)
  8. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  9. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Michigan State Univ., East Lansing, MI (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1476408
Alternate Identifier(s):
OSTI ID: 1606514; OSTI ID: 1618204
Report Number(s):
LLNL-JRNL-737740
Journal ID: ISSN 1434-6001
Grant/Contract Number:  
AC05-00OR22725; SC0013617; AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. A
Additional Journal Information:
Journal Volume: 53; Journal Issue: 9; Journal ID: ISSN 1434-6001
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Potel, G., Perdikakis, G., Carlson, B. V., Atkinson, M. C., Dickhoff, W. H., Escher, J. E., Hussein, M. S., Lei, J., Li, W., Macchiavelli, A. O., Moro, A. M., Nunes, F. M., Pain, S. D., and Rotureau, J. Toward a complete theory for predicting inclusive deuteron breakup away from stability. United States: N. p., 2017. Web. doi:10.1140/epja/i2017-12371-9.
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Potel, G., Perdikakis, G., Carlson, B. V., Atkinson, M. C., Dickhoff, W. H., Escher, J. E., Hussein, M. S., Lei, J., Li, W., Macchiavelli, A. O., Moro, A. M., Nunes, F. M., Pain, S. D., & Rotureau, J. Toward a complete theory for predicting inclusive deuteron breakup away from stability. United States. https://doi.org/10.1140/epja/i2017-12371-9
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Potel, G., Perdikakis, G., Carlson, B. V., Atkinson, M. C., Dickhoff, W. H., Escher, J. E., Hussein, M. S., Lei, J., Li, W., Macchiavelli, A. O., Moro, A. M., Nunes, F. M., Pain, S. D., and Rotureau, J. Mon . "Toward a complete theory for predicting inclusive deuteron breakup away from stability". United States. https://doi.org/10.1140/epja/i2017-12371-9. https://www.osti.gov/servlets/purl/1476408.
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@article{osti_1476408,
title = {Toward a complete theory for predicting inclusive deuteron breakup away from stability},
author = {Potel, G. and Perdikakis, G. and Carlson, B. V. and Atkinson, M. C. and Dickhoff, W. H. and Escher, J. E. and Hussein, M. S. and Lei, J. and Li, W. and Macchiavelli, A. O. and Moro, A. M. and Nunes, F. M. and Pain, S. D. and Rotureau, J.},
abstractNote = {We present an account of the current status of the theoretical treatment of inclusive (d,p) reactions in the breakup-fusion formalism, pointing to some applications and making the connection with current experimental capabilities. Three independent implementations of the reaction formalism have been recently developed, making use of different numerical strategies. The codes also originally relied on two different but equivalent representations, namely the prior (Udagawa-Tamura, UT) and the post (Ichimura-Austern-Vincent, IAV) representations. The different implementations have been benchmarked, and then applied to the Ca isotopic chain. The neutron-Ca propagator is described in the Dispersive Optical Model (DOM) framework, and the interplay between elastic breakup (EB) and non-elastic breakup (NEB) is studied for three Ca isotopes at two different bombarding energies. The accuracy of the description of different reaction observables is assessed by comparing with experimental data of (d,p) on 40,48 Ca. We discuss the predictions of the model for the extreme case of an isotope ( 60 Ca) currently unavailable experimentally, though possibly available in future facilities (nominally within production reach at FRIB). We explore the use of (d,p) reactions as surrogates for (n,γ) processes, by using the formalism to describe the compound nucleus formation in a (d,pγ) reaction as a function of excitation energy, spin, and parity. The subsequent decay is then computed within a Hauser-Feshbach formalism. Comparisons between the (d,pγ) and (n,γ) induced gamma decay spectra are discussed to inform efforts to infer neutron captures from (d,pγ) reactions. Finally, we identify areas of opportunity for future developments, and discuss a possible path toward a predictive reaction theory.},
doi = {10.1140/epja/i2017-12371-9},
journal = {European Physical Journal. A},
number = 9,
volume = 53,
place = {United States},
year = {Mon Sep 11 00:00:00 EDT 2017},
month = {Mon Sep 11 00:00:00 EDT 2017}
}
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https://doi.org/10.1140/epja/i2017-12371-9
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Figures / Tables:

Fig. 1 Fig. 1: Differential cross section as a function of transferred angular momentum in the 93Nb($d, p$) reaction with a beam of $E_d$ = 10 MeV deuterons. In panel (a) we illustrate the convergence of the $\mathrm{NEB}$ (solid black line) and $\mathrm{EB}$ (dashed red line) calculation with respect to the numbermore » of partial waves $ℓ_{max}$, while in (b) we show the dependence of the same results on the upper limit $R_{max}$ of radial integrations. Panel (a) have been calculated using $R_{max}$ = 60 fm, and panel (b) with $ℓ_{max}$ = 15.« less
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    Works referencing / citing this record:

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

    Unraveling the Reaction Mechanisms Leading to Partial Fusion of Weakly Bound Nuclei
    journal, December 2019

    The neutron within the deuteron as a surrogate for neutron-induced reactions
    journal, December 2019

    • Bertulani, C. A.; Canto, L. F.; Hussein, M. S.
    • International Journal of Modern Physics E, Vol. 28, Issue 12
    • DOI: 10.1142/s021830131950109x

    Models of breakup: a final state interaction problem. In memory of Mahir Hussein
    preprint, January 2021

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