Parametrization scheme for effective interactions

Geramb, H. V. von; Amos, K.; Berge, L.; Bräutigam, S.; Kohlhoff, H.; Ingemarsson, A.

doi:10.1103/physrevc.44.73

Cited by 33 publications

(16 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These properties are quite inconvenient in various applications. In order to circumvent the problem, the Melbourne group showed that elastic scattering are determined by the on-shell and near-on-shell components of g matrix [21], and provided a local version of g matrix in which the potential parameters are so determined as to reproduce the relevant components [21,34,35]. The Melbourne g matrix thus obtained well accounts for NN scattering in free space that corresponds to the limit of ρ = 0, and the Melbourne g-matrix folding model reproduces NA scattering, as already mentioned in Sec.…”

Section: Local Version Of Chiral G Matrixmentioning

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

View full text Add to dashboard Cite

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-

show abstract

Section: Local Version Of Chiral G Matrixmentioning

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

View full text Add to dashboard Cite

show abstract

“…The Melbourne group showed that elastic scattering are mainly determined by the on-shell part of g(ρ) [16]. Making a χ 2 fitting to the onshell and near-on-shell components of the g matrix, the group provided g(ρ) with a local (Yukawa) form in order to make the folding procedure feasible [16,32,33]. The Melbourne g matrix thus obtained accounts for NN scattering in the limit of ρ = 0, and the SF model based on the Melbourne g matrix explains NA scattering systematically with no adjustable parameter, as mentioned above.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we consider heavier targets such as 40 Ca, 58 Ni and 208 Pb to make our discussion clear, since the g matrix is evaluated in nuclear matter and the g-matrix folding model is considered to be more reliable for heavier targets. Taking the Melbourne-group procedure [16,32,33], we provide the chiral g matrix with a 3-range Gaussian form for each of the central, spin-orbit and tensor components, since the Gaussian form is much more convenient than the Yukawa form in many applications whereas the two forms yield the same results for NA and AA scattering. The ranges and the depths of individual components are determined for each energy and density so as to reproduce the on-shell and near-on-shell matrix elements of the original g matrix.…”

Section: Introductionmentioning

confidence: 99%

Microscopic calculations based on chiral two- and three-nucleon forces for proton- andHe4-nucleus scattering

et al. 2015

View full text Add to dashboard Cite

We investigate the effects of chiral three-nucleon force (3NF) on proton scattering at 65 MeV and 4 He scattering at 72 MeV/nucleon from heavier targets, using the standard microscopic framework composed of the Brueckner-Hartree-Fock (BHF) method and the g-matrix folding model. For nuclear matter, the g matrix is evaluated from chiral two-nucleon force (2NF) of N 3 LO and chiral 3NF of NNLO by using the BHF method. Since the g matrix thus obtained is numerical and nonlocal, an optimum local form is determined from the onshell and near-on-shell components of g matrix that are important for elastic scattering. For elastic scattering, the optical potentials are calculated by folding the local chiral g matrix with projectile and target densities. This microscopic framework reproduces the experimental data without introducing any adjustable parameter. Chiral-3NF effects are small for proton scattering, but sizable for 4 He scattering at middle angles where the data are available. Chiral 3NF, mainly in the 2π-exchange diagram, makes the folding potential less attractive and more absorptive for all the scattering.

show abstract

“…Toyokawa et al localized the non-local chiral g matrix into three-range Gaussian forms by using the localization method proposed by the Melbourne group [2,13,14]. The resulting local g matrix is called "Kyushu g-matrix"; see the hompage http://www.nt.phys.kyushu-u.ac.jp/english/gmatrix.html for Kyushu g-matrix.…”

mentioning

confidence: 99%

Reanalyses for $^{42-51}$Ca scattering on a $^{12}$C target at $280$ MeV/nucleon based on chiral $g$ folding mode with Gogny-D1S Hartree-Fock-Bogoliubov densities

Takechi¹,

Matsui²,

Yahiro³

2020

Preprint

View full text Add to dashboard Cite

In our previous paper, we predicted neutron skin r skin and proton, neutron, matter radii, rp, rn, rm for 62,64 Ca after determining the neutron dripline, using the Gogny-D1S Hartree-Fock-Bogoliubov (GHFB) with and without the angular momentum projection (AMP). Using the chiral g-matrix folding model, we predicted reaction cross section σR for 62,64 Ca scattering on a 12 C target at 280 MeV/nucleon, since Tanaka el al. measured interaction cross sections σI(≈ σR) for 42−51 Ca in RIKEN. After our prediction, they determine rm(RIKEN), r skin (RIKEN), rn(RIKEN). In this paper, we reanalyses the σI, since they assumed the Wood-Saxon densities for 42−51 Ca. The σR calculated with the folding model with GHFB and GHFB+AMP densities almost reproduce the σI. We then scale proton and neutron densities so that rp and rn may agree with the central values of rp(exp) and rn(RIKEN), respectively. The σR calculated with the scaled densities do not reproduce the central values of σI perfectly. We then determine the rm that agree with the central values of σI, using the chiral g-matrix folding model. The fitted rm do not reproduce the central values of rm(RIKEN) perfectly, but are in one σ level. Finally, we show the r skin , rn determined from the fitted rm are close to the original ones except for r 48 skin . The fitted r 48 skin is 0.105 fm, while the central value of r 48 m (RIKEN) is 0.146 fm. When we fit rm to the upper bound of σI, the fitted r 48 skin is 0.164 fm and near the central vale 0.17 fm of the high-resolution E1 polarizability experiment.

show abstract

Parametrization scheme for effective interactions

Cited by 33 publications

References 19 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 calculations based on chiral two- and three-nucleon forces for proton- andHe4-nucleus scattering

Reanalyses for $^{42-51}$Ca scattering on a $^{12}$C target at $280$ MeV/nucleon based on chiral $g$ folding mode with Gogny-D1S Hartree-Fock-Bogoliubov densities

Contact Info

Product

Resources

About