Direct-reaction plus statistical-model analysis of the Cr52(d,2n)52Mng,m reaction

M. G. Mustafa, T. Tamura, and T. Udagawa
Phys. Rev. C 35, 2077 – Published 1 June 1987
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Abstract

Recent experimental cross sections for the reaction Cr52(d,2n)52Mng,m are in marked disagreement with the standard statistical-model analysis. We have, therefore, analyzed the data with an approach that emphasizes direct-reaction contribution to the cross section. This is done in two steps. In the first step, the compound-nucleus formation cross section is defined such that only the internal part of the target nucleus is allowed to absorb the deuteron, thus leading to the formation of Mn*54. The contribution of the external part is interpreted as going to direct reaction. The calculation of the internal part then proceeds by statistical evaporation of two neutrons to produce Mn52. In the second step, the dominant part of the direct reaction, i.e., the deuteron breakup, followed by the capture of the proton, is considered. This quantum mechanical, breakup fusion process forms Mn*53, which then evaporates one neutron to produce Mn52. The sum of the cross sections from these two processes fits the data quite well. The consistency of this twofold treatment is confirmed by our finding that the total reaction cross section for the deuteron is accounted for by summing the above two fusion cross sections with the additional direct-reaction cross sections that do not contribute to the production of Mn52.

  • Received 24 November 1986

DOI:https://doi.org/10.1103/PhysRevC.35.2077

©1987 American Physical Society

Authors & Affiliations

M. G. Mustafa and T. Tamura

  • Lawrence Livermore National Laboratory, University of California, Livermore, California 94550

T. Udagawa

  • Department of Physics, University of Texas, Austin, Texas 78712

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Vol. 35, Iss. 6 — June 1987

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