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

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

Jun 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvc..59.3418m&link_type=abstract

Physical Review C (Nuclear Physics), Volume 59, Issue 6, June 1999, pp.3418-3424

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58

Resonance Reactions, Radiative Capture, Nucleosynthesis In Novae, Supernovae, And Other Explosive Environments

Scientific paper

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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