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arXiv · 2208.02404

The $S$ matrices of elastic $\alpha$-$^{12}$C scattering at low energies in effective field theory

Shung-Ichi Ando
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Abstract

The elastic $\alpha$-$^{12}$C scattering at low energies for $l=0,1,2,3,4,5,6$ is studied in effective field theory. We discuss the construction of the $S$ matrices of elastic $\alpha$-$^{12}$C scattering in terms of the amplitudes of sub-threshold bound and resonant states of $^{16}$O, which are calculated from the effective Lagrangian. The parameters appearing in the $S$ matrices are fitted to the phase shift data below the $p$-$^{15}$N breakup threshold energy, and we find that the phase shifts are well described within the theory.

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Shung-Ichi Ando. 2022-08-04. The $S$ matrices of elastic $\alpha$-$^{12}$C scattering at low energies in effective field theory. https://doi.org/10.1103/physrevc.107.045808

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