Connection between asymptotic normalization coefficients, subthreshold bound states, and resonances

A. M. Mukhamedzhanov and R. E. Tribble
Phys. Rev. C 59, 3418 – Published 1 June 1999
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Abstract

We present here useful relations showing the connection between the asymptotic normalization coefficient (ANC) and the fitting parameters in K- and R-matrix theory methods which are often used when analyzing low energy experimental data. It is shown that the ANC of a subthreshold bound state defines the normalization of both direct radiative capture leading to this state and resonance capture in which the state behaves like a subthreshold resonance. A determination of the appropriate ANC(s) thus offers an alternative method for finding the strength of these types of capture reactions, both of which are important in nuclear astrophysics.

  • Received 14 September 1998

DOI:https://doi.org/10.1103/PhysRevC.59.3418

©1999 American Physical Society

Authors & Affiliations

A. M. Mukhamedzhanov and R. E. Tribble

  • Cyclotron Institute, Texas A&M University, College Station, Texas 77843

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Vol. 59, Iss. 6 — June 1999

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