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arXiv · 1402.5795

Gamow shell model description of proton scattering on $^{18}$Ne

Y. Jaganathen·N. Michel·M. Płoszajczak
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Abstract

We formulate the GSM in coupled-channel (GSM-CC) representation to describe low-energy elastic and inelastic scattering of protons on $^{18}$Ne. The GSM-CC formalism is applied to a translationally-invariant Hamiltonian with an effective finite-range two-body interaction. We discuss in details the GSM-CC formalism in coordinate space and give the description of the novel equivalent potential method for solving the GSM-CC system of integro-differential equations. We present the first application of the GSM-CC formalism for the calculation of excited states of $^{18}$Ne and $^{19}$Na, excitation function and the elastic/inelastic differential cross-sections in the $^{18}$Ne$(p,p')$ reaction at different energies.

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Y. Jaganathen, N. Michel, M. Płoszajczak. 2014-02-24. Gamow shell model description of proton scattering on $^{18}$Ne. https://doi.org/10.1103/physrevc.89.034624

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