Asymmetry dependence of Gogny-based optical potential

Blanchon, G.; Dupuis, Marc; Bernard, R.; Arellano, H. F.

doi:10.1140/epja/i2017-12268-7

Cited by 10 publications

(15 citation statements)

References 48 publications

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“…4/3 (5) and depending on the proton's density alone. This term also gives a "rearrangement" contribution to the HF or HFB potentials when treated appropriately in the application of the variational principle.…”

Section: The Gogny Force: Guiding Principlesmentioning

confidence: 99%

Mean field and beyond description of nuclear structure with the Gogny force: A review

Robledo,

Rodríguez,

Rodríguez-Guzmán

2018

Preprint

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Nowadays, the Gogny force is a referent in the theoretical description of nuclear structure phenomena. Its phenomenological character manifests in a simple analytical form that allows for implementations of techniques both at the mean field and beyond all over the nuclide chart. Over the years, multiple applications of the standard many-body techniques in an assorted set of nuclear structure applications have produced results which are in a rather good agreement with experimental data. The agreement allows for a simple interpretation of those intriguing phenomena in simple terms and gives confidence on the predictability of the interaction. The present status on the implementation of different many body techniques with the Gogny force is reviewed with a special emphasis on symmetry restoration and large amplitude collective motion.

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Section: The Gogny Force: Guiding Principlesmentioning

confidence: 99%

Mean field and beyond description of nuclear structure with the Gogny force: A review

Robledo,

Rodríguez,

Rodríguez-Guzmán

2018

Preprint

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“…The polarization potential, which is complex and energy dependent, appears due to intermediate excitations of the nucleus and describes the coupling of the entrance channel with inelastic channels. The NSM potential can be obtained using the self-consistent HF method and the random-phase approximation (RPA) [24][25][26]. A different version of the NSM also includes the particle-vibration coupling on top of the RPA calculations [27,28].…”

Section: Introductionmentioning

confidence: 99%

“…Due to the complexity of the calculation of the polarization term, there are few NSM calculations available in the literature. They have been basically applied to describe proton and neutron scattering in 40 Ca and 48 Ca using the Gogny D1S force [24][25][26] and neutron scattering in 16 O, 40 Ca, 48 Ca and 208 Pb with the Skyrme SLy5 force [27,28].…”

Section: Introductionmentioning

confidence: 99%

Nucleon-nucleus optical potential computed with the Gogny interaction

Viñas

Moraña

2021

J. Phys. G: Nucl. Part. Phys.

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The ability of the Gogny forces of the D1 family to describe the nucleon-nucleus scattering is studied. To this end, we use an optical model (OM) potential built up using a semi-microscopic nuclear matter (NM) approach. The real and imaginary parts of the OM are provided by the first and second-order terms, respectively, of the Taylor expansion of the mass operator calculated within the Brueckner–Hartree–Fock (BHF) method using the reaction G-matrix built up with the effective Gogny force instead of a microscopic interaction. The optical potential in finite nuclei is obtained through the local density approximation (LDA) using the neutron and proton densities provided by a quasi-local Hartree–Fock (HF) calculation with the same Gogny force for the sake of consistency. A reasonable good agreement is found between the theoretical differential cross-sections and the analyzing powers (AP) of the elastic neutron and proton scattering along the periodic table from Ca to Pb calculated with the Gogny forces and the corresponding values predicted by the global phenomenological potential of Koning and Delaroche. To investigate the limits of the approximations used in this work, comparisons with the results of nucleon-nucleus elastic scattering in 40Ca and 48Ca obtained using the nuclear structure model (NSM) are also performed.

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“…This kind of N N interaction can be determined through a phenomenological procedure such as Gogny or Skyrme interactions which are real and densitydependent. They are mainly used in nuclear structure calculations but now are increasingly applied in the context of nuclear reaction studies [29][30][31][32][33]. An effective N N interaction can also be determined from the bare N N interaction.…”

Section: Introductionmentioning

confidence: 99%

Following J. Raynal’s DWBA and ECIS codes: coupled channels with microscopic non-local potential

et al. 2021

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Jacques Raynal provided two powerful tools to the nuclear reaction community interested in scattering processes, namely the ECISxx and DWBAxx computer codes (xx standing for the version year), which are renowned for both their numerical efficiency and the numerous applications they cover. The purpose of this work is twofold. First, it extends the possibilities of calculation of microscopic optical and transition potentials compared to what is proposed in the DWBA code. Then, following previous work by Arellano [Phys Rev C 76:014616, 2007], we develop a method to deal with coupled-channel calculations with non-local ingredients. Both codes DWBA and ECIS, and numerous past discussions with their author, offered guidance to elaborate and to validate new results focusing on neutron scattering off spin-0 target. Special attention has been paid to match the numerical precision of J. Raynal's tools. This was made possible by using a specific quadrature method for numerical integrations of functions with discontinuous derivatives.

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Asymmetry dependence of Gogny-based optical potential

Cited by 10 publications

References 48 publications

Mean field and beyond description of nuclear structure with the Gogny force: A review

Mean field and beyond description of nuclear structure with the Gogny force: A review

Nucleon-nucleus optical potential computed with the Gogny interaction

Following J. Raynal’s DWBA and ECIS codes: coupled channels with microscopic non-local potential

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