Relativistic mean-field study of Mg isotopes

Ren, Zhongzhou; Zhang, Zhu; Cai, Yingjun; Xu, Guoqing

doi:10.1016/0370-2693(96)00462-5

Cited by 81 publications

(53 citation statements)

References 26 publications

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“…[14] (3.12 ± 0.05 fm) stems from our approach to include the effect of uncertainty from different density profiles of the protons. The matter radii predicted [20] by the RMF theory with NL-SH force and mean-field predictions with [6,21] the Skyrme III interaction are also shown. Both models are consistent with the experimental radii within the uncertainties.…”

Section: -2mentioning

confidence: 91%

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Matter radii of32−35Mg

Kanungo¹,

Procházka²,

Horiuchi³

et al. 2011

Phys. Rev. C

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The interaction cross sections of [32][33][34][35] Mg at 900A MeV have been measurmed using the fragment separator at GSI. The deviation from the r 0 A 1/3 trend is slightly larger for 35 Mg, signaling the possible formation of a longer tail in the neutron distribution for 35 Mg. The radii extracted from a Glauber model analysis with Fermi densities are consistent with models predicting the development of neutron skins. The shell structure of nuclei has formed a fundamental basis for understanding their properties. As nuclei accumulate a large excess of neutrons, the conventional shell structure starts to show signs of mutation. Investigations of ground-state properties of neutron-rich nuclei are a key toward the search for the effects leading to the breakdown of the conventional shell structure. The matter radii of neutron-rich nuclei are one of the fundamental properties that constrain nuclear wave functions and carry crucial information on deformation, shell effects, and formation of neutron skins and halos [1].In this Rapid Communication we report on the first determination of the matter radii of [33][34][35] Mg in the N = 20 island of inversion from a measurement of the interaction cross section. The results are consistent with development of neutron skins with 35 Mg showing the possibility of a longer density tail.The breakdown of the N = 20 shell gap was observed through the low excitation energy of the 2 + state in 32 Mg [2]. Much effort has been devoted since then to the study of level schemes in attempting to understand this. The large B(E2) values deduced from the Coulomb excitation * ritu@triumf.ca measurements [3,4] were suggestive of 32 Mg being a deformed nucleus. It should be noted here that the extraction of the deformation value (β) in [3] is obtained under the assumption of a collective model. For a proper understanding of deformation in these nuclei, measured radii are important.The level scheme of 32 Mg from β delayed γ spectroscopy of 32 Na [5] suggests that 32 Mg is not an axially symmetric rotor. It is not a vibrational nucleus either. It was in fact discussed [6], based on a Skyrme-Hartree-Fock description, that this nucleus probably exhibits γ unstable deformation. A relativistic mean-field (RMF) calculation with three-dimensional angular momentum projection involving triaxial degrees of freedom [7] gives a ground state having β = 0.6 and γ = 10 • . Density and radii from such models would be useful for comparison with the present data. Recently, a shape coexistent 0 + state has been found in 32 Mg [8].The Monte Carlo shell model (MCSM) [9] has been considered to be fairly well suited to describe the levels in nuclei around the island of inversion. The predicted level scheme of 32 Mg also does not show features of an axially symmetric rotor.Mean-field models based on the Hartree-Fock (HF) or Hartree-Fock-Bogoliubov (HFB) approximations have been developed by several groups [10][11][12] for the neutron-rich 021302-1 0556-2813/2011/83(2)/021302(4)

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Section: -2mentioning

confidence: 91%

“…The interaction cross section for 20,[22][23][24][25]27,[29][30][31][32] Mg measured at 950A MeV with a C target indicates the development of neutron skins [14]. A measurement of the reaction cross section [15] at much lower energies using an active target silicon detector shows a very large cross section for 35 Mg.…”

mentioning

confidence: 99%

Matter radii of32−35Mg

Kanungo¹,

Procházka²,

Horiuchi³

et al. 2011

Phys. Rev. C

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“…Here, the nuclei 26,28 Ne are predicted to be very soft, strongly anharmonic, while 32 Ne is well deformed in all cases. The semi-magic 30 Ne is predicted to be spherical. However, as in the case of 32 Mg, a lowlying secondary prolate minimum develops in the SkM * 30 Ne lies ∼1 MeV higher in energy than that in 32 Mg. That is, the shape mixing phenomenon is expected to be much stronger in 32 Mg than in 30 Ne.…”

Section: Deformation In the N ≈20 Regionmentioning

confidence: 99%

“…The semi-magic 30 Ne is predicted to be spherical. However, as in the case of 32 Mg, a lowlying secondary prolate minimum develops in the SkM * 30 Ne lies ∼1 MeV higher in energy than that in 32 Mg. That is, the shape mixing phenomenon is expected to be much stronger in 32 Mg than in 30 Ne. Of course, in the case of low-lying coexisting states, the energy difference between spherical and deformed minima depends strongly on the details of the calculations.…”

Section: Deformation In the N ≈20 Regionmentioning

confidence: 99%

“…For most Skyrme parameterizations used, the pattern is fairly similar. Namely, the nucleus 30 Mg is predicted to be merely deformation-soft, while the occupation of the f 7/2 neutron shell in 34 Mg gives rise to a very deformed intrinsic shape with β ranging from 0.3 to 0.4. The nucleus 32 Mg appears to be a transitional system with coexisting spherical and prolate minima.…”

Section: Deformation In the N ≈20 Regionmentioning

confidence: 99%

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