English

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

Nuclear Theory 2015-11-17 v1

Abstract

We formulate the GSM in coupled-channel (GSM-CC) representation to describe low-energy elastic and inelastic scattering of protons on 18^{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^{18}Ne and 19^{19}Na, excitation function and the elastic/inelastic differential cross-sections in the 18^{18}Ne(p,p)(p,p') reaction at different energies.

Keywords

Cite

@article{arxiv.1402.5795,
  title  = {Gamow shell model description of proton scattering on $^{18}$Ne},
  author = {Y. Jaganathen and N. Michel and M. Płoszajczak},
  journal= {arXiv preprint arXiv:1402.5795},
  year   = {2015}
}

Comments

14 pages, 11 figures