Abstract

Inclusion of the ground state of 16O is investigated for a study of elastic α-12C scattering for the l = 0 channel at low energies in effective field theory. We employ a Markov chain Monte Carlo method for the parameter fitting and find that the uncertainties of the fitted parameters are significantly improved compared to those of our previous study. We then calculate the asymptotic normalization constants of the 0+ states of 16O and compare them with the experimental data and the previous theoretical estimates. We discuss implications of the results of the present work.

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