Microscopic positive-energy potential based on Gogny interaction

Abstract

We present nucleon elastic scattering calculation based on Green's function formalism in the Random-Phase Approximation. For the first time, the Gogny effective interaction is used consistently throughout the whole calculation to account for the complex, non-local and energy-dependent optical potential. Effects of intermediate single-particle resonances are included and found to play a crucial role in the account for measured reaction cross section. Double counting of the particle-hole second-order contribution is carefully addressed. The resulting integro-differential Schrödinger equation for the scattering process is solved without localization procedures. The method is applied to neutron and proton elastic scattering from ${}^{40}$Ca. A successful account for differential and integral cross sections, including analyzing powers, is obtained for incident energies up to 30 MeV. Discrepancies at higher energies are related to much too high volume integral of the real potential for large partial waves. Moreover, this works opens the way for future effective interactions suitable simultaneously for both nuclear structure and reaction.

5 pages, 6 figures

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• Irreducible nonlocality of optical model potentials based on realistic NN interactions
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• Asymmetry dependence of Gogny based optical potential
• Very low-energy nucleon + 16O coupled-channel scattering: results with a phenomenological vibrational model
• Fano effect on the neutron elastic scattering by open-shell nuclei
• Bound-to-continuum potential model for the $(p,\gamma )$ reactions of the CNO cycle
• Ab initio single-neutron spectroscopic overlaps in lithium isotopes
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• Coupled-cluster computations of optical potential for medium-mass nuclei
• Microscopic optical potentials from a Greens function approach
• Pairing effects on vorticity of incident neutron current at quasiparticle resonance energies in $n$-$A$ elastic scattering
• Assessment of effect of local approximation on single folding potential at low and intermediate incident energies