Microscopic approach to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>scattering

Toyokawa, Masakazu; Matsumoto, Takuma; Minomo, Kosho; Yahiro, Masanobu

doi:10.1103/physrevc.91.064610

Cited by 17 publications

(41 citation statements)

References 62 publications

(98 reference statements)

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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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“…[19,20]. In fact, the local version of g-matrix folding potential describes NA scattering with no adjustable parameter [21], and close to the phenomenological NA optical potentials [22][23][24][25].…”

Section: Introductionmentioning

confidence: 58%

“…As for the detail of the models, for example, see Refs. [6,12,13,15,19,21] for NA scattering and Refs. [12,14,17,18,20] for AA scattering.…”

Section: Model Buildingmentioning

confidence: 99%

Microscopic optical potentials forHe4scattering

et al. 2014

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We present a reliable double-folding (DF) model for 4 He-nucleus scattering, using the Melbourne g-matrix nucleon-nucleon interaction that explains nucleon-nucleus scattering with no adjustable parameter. In the DF model, only the target density is taken as the local density in the Melbourne g-matrix. For 4 He elastic scattering from 58 Ni and 208 Pb targets in a wide range of incident energies from 20 MeV/nucleon to 200 MeV/nucleon, the DF model with the target-density approximation (TDA) yields much better agreement with the experimental data than the usual DF model with the frozen-density approximation in which the sum of projectile and target densities is taken as the local density. We also discuss the relation between the DF model with the TDA and the conventional folding model in which the nucleon-nucleus potential is folded with the 4 He density.

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“…The use of a g-matrix interaction having a predictive power is one of the most essential features of the present study. We use the target-density approximation (TDA) [14][15][16] for evaluating the density dependence of g matrix. This TDA g-matrix approach has been derived from the nucleus-nucleus multiple scattering theory [17] in Ref.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…This TDA g-matrix approach has been derived from the nucleus-nucleus multiple scattering theory [17] in Ref. [15] and shown to work well for describing the elastic scattering of 3 He [15] and α [14,16] off several mid-heavy and heavy target nuclei. [3,[18][19][20].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Structure of the Hoyle State of ¹²C Extracted from Reaction Observables

Minomo¹,

Ogata²

2017

Proceedings of the 14th International Symposium on Nuclei in the Cosmos (NIC2016)

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The Hoyle state of 12 C has intensively been studied theoretically and experimentally. Despite a rather clear understanding of its three-α cluster structure, the description of the Hoyle state appeared in reaction observables has not been achieved. It was reported in many studies that the (α,α ′ ) cross section theoretically obtained with using the transition density of 12 C from the ground state to the 0 + 2 state significantly overshot the measured cross section. This discrepancy is called the missing monopole strength of the Hoyle state. To solve this probelm, we apply a fully microscopic framework to the (α,α ′ ) inelastic scattering to the 0 + 2 state of 12 C, and show that the calculated result agrees with the measured cross section. We find the consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables. We thus show essentially there is no room for the missing monopole strength.

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Microscopic approach toHe3scattering

Cited by 17 publications

References 62 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

Microscopic optical potentials forHe4scattering

Structure of the Hoyle State of ¹²C Extracted from Reaction Observables

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Microscopic approach toHe3scattering

Cited by 17 publications

References 62 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

Microscopic optical potentials forHe4scattering

Structure of the Hoyle State of 12C Extracted from Reaction Observables

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Structure of the Hoyle State of ¹²C Extracted from Reaction Observables