Ground-state properties of neutron-rich Mg isotopes

Watanabe, Shin; Minomo, Kosho; Shimada, Mikio; Tagami, Shingo; Kimura, Masaaki; Takechi, M.; Fukuda, M.; Nishimura, D.; Suzuki, Takeshi; Matsumoto, Takuma; Shimizu, Yoshifumi R.; Yahiro, Masanobu

doi:10.1103/physrevc.89.044610

Cited by 85 publications

(103 citation statements)

References 86 publications

(513 reference statements)

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“…[18], where an angular-momentum projected generator coordinate method with the Gogny force was explored. The fully microscopic antisymmetrized molecular dynamics calculations with the same Gogny-D1S effective interaction have well reproduced measured ground-state properties (spin parity, total binding energy, one-neutron separation energy, and matter radii) of Mg isotopes [19]. In Ref.…”

Section: Introductionmentioning

confidence: 98%

Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes

et al. 2014

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A comprehensive study of various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with A = 20-36 is performed in the framework of the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The correlation between the skin thickness and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for this isotopic chain following the theoretical approach based on the coherent density fluctuation model and using the Brueckner energy-density functional. The results of the calculations show that the behavior of the nuclear charge radii and the nuclear symmetry energy in the Mg isotopic chain is closely related to the nuclear deformation. We also study, within our theoretical scheme, the emergence of an "island of inversion" at the neutron-rich 32 Mg nucleus, which was recently proposed from the analyses of spectroscopic measurements of the 32 Mg low-lying energy spectrum and the charge rms radii of all magnesium isotopes in the sd shell.

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Section: Introductionmentioning

confidence: 98%

Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes

et al. 2014

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“…Use of such inclusive observables has some advantages: The theory of describing the cross section is well established, the cross sections can be measured for almost all nuclei as long as the beam intensity is sufficient, and the different sensitivity to the nuclear density profile can be controlled by a choice of a target nucleus and an incident energy. Systematic analyses of nuclear matter radii with the total reaction cross sections on 12 C target incident at 200 MeV/nucleon have revealed structure changes and the role of excess neutrons of light neutron-rich unstable nuclei [14][15][16][17][18][19][20][21]. We remark that the total reaction cross sections on 1 H target is also useful because the probe has different sensitivity to protons and neutrons in the projectile nucleus depending on incident energies that can be used to extract the neutron-skin thickness of unstable nuclei [22,23].…”

Section: Introductionmentioning

confidence: 99%

Examination of the C22 radius determination with interaction cross sections

Nagahisa

Horiuchi

2018

Phys. Rev. C

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A nuclear radius of 22 C is investigated with the total reaction cross sections at medium-to high-incident energies in order to resolve the radius puzzle in which two recent interaction cross-section measurements using 1 H and 12 C targets show the quite different radii. The cross sections of 22 C are calculated consistently for these target nuclei within a reliable microscopic framework, the Glauber theory. To describe appropriately such a reaction involving a spatially extended nucleus, the multiple scattering processes within the Glauber theory are fully taken into account, that is, the multidimensional integration in the Glauber amplitude is evaluated using a Monte Carlo technique without recourse to the optical-limit approximation. We discuss the sensitivity of the spatially extended halo tail to the total reaction cross sections. The root-mean-square matter radius obtained in this study is consistent with that extracted from the recent cross-section measurement on 12 C target. We show that the simultaneous reproduction of the two recent measured cross sections is not feasible within this framework.

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“…Furthermore, a theoretical model to evaluate high energy σ R values is well established. The reliability of the reaction model combined with a microscopic structure model has been tested in several examples and has made it possible to reproduce the recent experimental data with no adjustable parameters [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

et al. 2016

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Background: Proton and neutron radii are fundamental quantities of atomic nuclei. To study the sizes of short-lived unstable nuclei, there is a need for an alternative to electron scattering. Purpose: The recent paper by Horiuchi et al. [Phys. Rev. C 89, 011601(R) (2014)] proposed a possible way of extracting the matter and neutron-skin thickness of light-to medium-mass nuclei using total reaction cross section, σ R . The analysis is extended to medium to heavy nuclei up to lead isotopes with due attention to Coulomb breakup contributions as well as density distributions improved by paring correlation. Methods:We formulate a quantitative calculation of σ R based on the Glauber model including the Coulomb breakup. To substantiate the treatment of the Coulomb breakup, we also evaluate the Coulomb breakup cross section due to the electric dipole field in a canonical-basis-time-dependent-Hartree-Fock-Bogoliubov theory in the three-dimensional coordinate space. Results: We analyze σ R 's of 103 nuclei with Z = 20, 28, 40, 50, 70, and 82 incident on light targets, 1,2 H, 4 He, and 12 C. Three kinds of Skyrme interactions are tested to generate those wave functions. To discuss possible uncertainty due to the Coulomb breakup, we examine its dependence on the target, the incident energy, and the Skyrme interaction. The proton is a most promising target for extracting the nuclear sizes as the Coulomb excitation can safely be neglected. We find that the so-called reaction radius, a R = √ σ R /π, for the proton target is very well approximated by a linear function of two variables, the matter radius and the skin thickness, in which three constants depend only on the incident energy. We quantify the accuracy of σ R measurements needed to extract the nuclear sizes. Conclusions:The proton is the best target because, once the incident energy is set, its a R is very accurately determined by only the matter radius and neutron-skin thickness. If σ R 's at different incident energies are measured, one can determine both the proton and neutron radii for unstable nuclei as well. The total reaction cross sections calculated in this paper are given as Supplemental Material for the sake of future measurements.

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Ground-state properties of neutron-rich Mg isotopes

Cited by 85 publications

References 86 publications

Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes

Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes

Examination of the C22 radius determination with interaction cross sections

Extracting nuclear sizes of medium to heavy nuclei from total reaction cross sections

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