Equation of state and the nucleon optical potential with three-body forces

Rafi, Syed; Sharma, Manjari; Pachouri, Dipti; Haider, W.; Gambhir, Y. K.

doi:10.1103/physrevc.87.014003

Cited by 24 publications

(56 citation statements)

References 50 publications

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“…In fact, all the g matrices provided so far were obtained by assuming a single Fermi sphere and solving nucleon scattering on the Fermi sphere. For consistency with the nuclear-matter calculation, we assumed ρ = ρ T (r m ) in g(ρ) and applied the framework to 3,4 He scattering in a wide energy range of 30 < ∼ E in /A P < ∼ 180 MeV [29,31] g-matrix DF model based on the target-density approximation (TDA) well accounted for 3,4 He scattering, particularly for forward differential cross sections where 3NF effects are considered to be negligible [22,23,26]. In our previous analysis [25], the DF-TDA model based on Kyushu chiral g matrix well explained 4 He scattering at E in /A P ≈ 72 MeV.…”

Section: Folding Modelmentioning

confidence: 99%

Effects of chiral three-nucleon forces on 4He-nucleus scattering in a wide range of incident energies

Toyokawa

Yahiro

Matsumoto

et al. 2018

Progress of Theoretical and Experimental Physics

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Background: It is a current important subject to clarify properties of chiral three-nucleon forces (3NFs) not only in nuclear matter but also in scattering between finite-size nuclei. Particularly for the elastic scattering, this study has just started and the properties are not understood in a wide range of incident energies (Ein). Aims and approach: We investigate basic properties of chiral 3NFs in nuclear matter with positive energies by using the Brueckner-Hartree-Fock method with chiral two-nucleon forces at N 3 LO and 3NFs at NNLO, and analyze effects of chiral 3NFs on 4 He elastic scattering from targets 208 Pb, 58 Ni and 40 Ca over a wide range of 30 < ∼ Ein/AP < ∼ 200 MeV by using the g-matrix folding model, where AP is the mass number of the projectile. Results: In symmetric nuclear matter with positive energies, chiral 3NFs make the single-particle potential less attractive and more absorptive. The effects mainly come from the Fujita-Miyazawa 2π-exchange 3NF and slightly become larger as Ein increases. These effects persist in the optical potentials of 4 He scattering. As for the differential cross sections of 4 He scattering, chiral-3NF effects are large in Ein/AP > ∼ 60 MeV and improve the agreement of the theoretical results with the measured ones. Particularly in Ein/AP > ∼ 100 MeV, the folding model reproduces measured differential cross sections pretty well. Cutoff (Λ) dependence is investigated for both nuclear matter and 4 He scattering by considering two cases of Λ = 450 and 550 MeV. The uncertainty coming from the dependence is smaller than chiral-3NF effects even at Ein/AP = 175 MeV. PACS numbers: 21.30.Fe, 24.10.Ht, 25.55.Ci FIG. 1: 3NFs in NNLO. Diagram (a) corresponds to the Fujita-Miyazawa 2π-exchange 3NF [1], and diagrams (b) and (c) correspond to 1π-exchange and contact 3NFs. The solid and dashed lines denote nucleon and pion propagations, respectively, and filled circles and squares stand for vertices. The strength of the filled-square vertex is often called cD in diagram (b) and cE in diagram (c).tact 3NFs, respectively. The filled-square vertex has a strength c D in the diagram (b) and c E in the diagram (c). Quantitative roles of chiral 3NFs were extensively investigated, particularly for light nuclei and nuclear matter [6]; more precisely, see Ref.[7] for light nuclei, Refs. [8,9] for ab initio nuclear-structure calculations in lighter nuclei and Refs. [10][11][12][13][14][15][16] for nuclear matter. In addition, effects of chiral four-nucleon forces were found to be small in nuclear matter [17,18]. The chiral g matrix, calculated from chiral 2NF+3NF with the Brueckner-Hartree-Fock (BHF) method, yields a reasonable nuclear matter sat-

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Section: Folding Modelmentioning

confidence: 99%

Effects of chiral three-nucleon forces on 4He-nucleus scattering in a wide range of incident energies

Toyokawa

Yahiro

Matsumoto

et al. 2018

Progress of Theoretical and Experimental Physics

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“…Recently, such a conclusion has been obtained even in Hyperon-mixed neutron-star matter [8,9]. Here, we note that the TBF contribution is investigated with not only our model, but also several models in the nuclear reaction and nuclear matter [10][11][12].…”

Section: Introductionmentioning

confidence: 79%

Medium effect in high-density nuclear matter probed by a systematic analysis of nucleus-nucleus elastic scattering

2016

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We investigate the property of the high-density nuclear matter probed by the nucleus-nucleus elastic scattering in the framework of the double-folding (DF) model with the complex G-matrix interaction. The medium effect including three-body-force (TBF) effect is investigated with present two methods based on the frozen density approximation (FDA). The medium effect is clearly seen on the potential and the elastic cross section for the 16 O + 16 O system at E/A = 70 MeV. The crucial role of the medium effect is also confirmed with other effective nucleon-nucleon (N N ) interactions. In addition, the present methods are applied to other heavy-ion elastic scattering systems. Again, the medium effect is clearly seen in the heavy-ion elastic cross section. The medium effect on the elastic cross section becomes invisible with the increase of the target mass and the incident energy (up to E/A = 200 MeV). However, the medium effect is again important to fix the heavy-ion scattering over E/A = 200 MeV. Finally, we make clear the crucial role of the TBF effect up to k F = 1.6 fm −1 in the nucleus-nucleus elastic scattering.

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“…In Ref. [14], as a first attempt of explicitly applying the phenomenological 3NF to nucleon optical potential, the Urbana 3NF [15] and the three-nucleon interaction [16,17] were used to construct g-matrix interactions. The g-matrices were applied to proton elastic scattering, which showed the 3NF effects are again small.…”

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confidence: 99%

Microscopic coupled-channels calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects

2016

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We analyze16 O-16 O and 12 C-12 C scattering with the microscopic coupled-channels method and investigate the coupled-channels and three-nucleon-force (3NF) effects on elastic and inelastic cross sections. In the microscopic coupled-channels calculation, the Melbourne g-matrix interaction modified according to the chiral 3NF effects is used. It is found that the coupled-channels and 3NF effects additively change both the elastic and inelastic cross sections. As a result, the coupled-channels calculation including the 3NF effects significantly improves the agreement between the theoretical results and the experimental data. The incident-energy dependence of the coupled-channels and 3NF effects is also discussed. Introduction. Microscopic description of many-body nuclear reactions is a long standing subject in nuclear physics. Elastic scattering, which is one of the most basic processes, was first understood phenomenologically with the optical model. The model was founded by the multiple scattering theory [1-3] from the microscopic point of view. According to the theory, elastic scattering is described by multistep processes with a nucleon-nucleon effective interaction. So far many types of density-dependent complex interactions (gmatrix interactions) have been proposed as effective interactions based on the Brueckner theory. It is, however, still not easy to reproduce even the elastic scattering data microscopically.

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Equation of state and the nucleon optical potential with three-body forces

Cited by 24 publications

References 50 publications

Effects of chiral three-nucleon forces on 4He-nucleus scattering in a wide range of incident energies

Effects of chiral three-nucleon forces on 4He-nucleus scattering in a wide range of incident energies

Medium effect in high-density nuclear matter probed by a systematic analysis of nucleus-nucleus elastic scattering

Microscopic coupled-channels calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects

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