Composite-particle decay widths by the generator coordinate method

Bertsch, G. F.; Younes, W.

doi:10.1016/j.aop.2019.01.014

Title: Composite-particle decay widths by the generator coordinate method

Journal Article · Sun Feb 10 00:00:00 EST 2019 · Annals of Physics

DOI:https://doi.org/10.1016/j.aop.2019.01.014· OSTI ID:1548337

Bertsch, G. F. ^[1]; Younes, W. ^[2]

Univ. of Washington, Seattle, WA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here, we study the feasibility of applying the Generator Coordinate Method (GCM) of self-consistent mean-field theory to calculate decay widths of composite particles to composite-particle final states. The main question is how well the GCM can approximate continuum wave functions in the decay channels. The analysis is straightforward under the assumption that the GCM wave functions are separable into internal and Gaussian center-of-mass wave functions. Two methods are examined for calculating decay widths. In one method, the density of final states is computed entirely in the GCM framework. In the other method, it is determined by matching the GCM wave function to an asymptotic scattering wave function. In conclusion, both methods are applied to a numerical example and are found to agree within their determined uncertainties.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1548337

Report Number(s):: LLNL-JRNL-759641; 948073

Journal Information:: Annals of Physics, Vol. 403, Issue C; ISSN 0003-4916

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (21)

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