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

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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http://hal.in2p3.fr/in2p3-00951547
Contributor : Michel Lion <>
Submitted on : Tuesday, February 25, 2014 - 7:08:39 AM
Last modification on : Thursday, February 1, 2018 - 1:26:04 AM

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Y. Jaganathen, N. Michel, M. Ploszajczak. Gamow shell model description of proton scattering on $^{18}$Ne. Physical Review C, American Physical Society, 2014, 89, pp.034624. ⟨10.1103/PhysRevC.89.034624⟩. ⟨in2p3-00951547⟩

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