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

1999; American Institute of Physics; Volume: 59; Issue: 6 Linguagem: Inglês

10.1103/physrevc.59.3418

1538-4497

A. M. Mukhamedzhanov, R. E. Tribble,

Nuclear reactor physics and engineering

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.