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

A. M. MukhamedzhanovCyclotron Institute, Texas A&M University, College Station, Texas 77843R. E. TribbleCyclotron Institute, Texas A&M University, College Station, Texas 77843
1999en
ABI

Аннотация

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.

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