Statistical-model description of γ decay from compound-nucleus resonances

Fanto, P.; Alhassid, Y.; Weidenmüller, H. A.

doi:10.1103/physrevc.101.014607

Title: Statistical-model description of γ decay from compound-nucleus resonances

Journal Article · Mon Jan 13 00:00:00 EST 2020 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.101.014607· OSTI ID:1800742

^[1]; Alhassid, Y. ^[1]; Weidenmüller, H. A. ^[2]

Yale Univ., New Haven, CT (United States)
Max-Planck-Institut für Kernphysik, Heidelberg (Germany)

The statistical model of compound-nucleus reactions predicts that the fluctuations of the partial γ-decay widths for a compound-nucleus resonance are governed by the Porter-Thomas distribution (PTD), and that consequently the distribution of total γ-decay widths is very narrow. However, a recent experiment reported large fluctuations of the total γ-decay widths in the ⁹⁵Mo (n, γ) 96 Mo$$^\ast$$ reaction, contrary to this expectation. Furthermore, in recent theoretical works it was argued that sufficiently strong channel couplings can cause deviations of the partial width distributions from PTD. Here, we investigate whether the combined influence of a large number of nonequivalent γ-decay channels, each of which couples weakly to the compound-nucleus resonances, can modify the statistics of the partial widths. We study this effect in neutron scattering off ⁹⁵Mo within a random-matrix model that includes coupling to the entrance neutron channel and to the large number of γ channels. Using realistic coupling parameters obtained from empirical models for the level density and the γ strength function, we find that the PTD describes well the distribution of partial widths for all decay channels, in agreement with the statistical-model expectation. Furthermore, we find that the width of the distribution of the total γ-decay widths is insensitive to wide variations in the parameters of the γ strength function, as well as to deviations of the partial-width distributions from the PTD. Finally, our results rule out an explanation of the recent experimental data within a statistical-model description of the compound nucleus.

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Research Organization:: Yale Univ., New Haven, CT (United States); Krell Institute, Ames, IA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

Grant/Contract Number:: FG02-91ER40608; NA0003864; SC0019521; PHY-1607611

OSTI ID:: 1800742

Journal Information:: Physical Review C, Vol. 101, Issue 1; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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