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Liu, H.; Zamick, Larry; Jaqaman, H.R.

doi:10.1103/physrevc.31.2251

Cited by 13 publications

(24 citation statements)

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“…The quadrupole moment of 6 He is much larger than the quadrupole moments of 4 He and 8 He. On the other hand, 8 He, which is nearly spherical, has a larger neutron skin (∆R = R neutron − R proton = 0.91 fm) than 6 He and 16 Be ground state and it has a larger nuclear rms radius than 12 Be. The proton rms radius of 8 He is the smallest among He isotopes and the nuclear quadrupole moment of 8 He is smaller than of 6 He.…”

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confidence: 99%

“…The gap between the fourth level (0.5, −, +) and the fifth level (0.5, +, +) is smaller for an isotope with a larger deformation, especially, of proton distribution. For a largely deformed nuclei, 8 Be and 16 Be, a level inversion between the fifth and the fourth single particle levels occurs. Thus the intruder state 1/2 + causing the inversion between 1/2 + and 1/2 − for the ground state of 11 Be and 9 He [39, 40] may be originated from a large deformation of proton distribution independent of which levels of proton and neutron are occupied.…”

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“…In contrast to this behavior of neutrons in He and Be isotopes, the single proton levels are very sensitive to the number of neutrons. The protons are bound stronger in the isotope with more neutrons up to 8 He and up to 16 Be. This sensitivity of proton levels cannot be examined by any models assuming an inert core or α cluster.…”

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confidence: 99%

“…The ground states of nuclei with 2 ≤ Z ≤ 114 around proton drip line have been studied using Skyrme HF+BCS [15]. Skyrme HF approach had described moderately well not only the ground state of 4 He but also the two-and four-particle excited states of 4 He [16].…”

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confidence: 99%

“…Here the CM energy corrections were approximated by 1/A of total kinetic energy following the prescription used in Ref. [16]. Approximating CM energy correction using harmonic oscillator energy [33] makes the better agreement of binding energies with empirical values for Be isotopes but it makes the binding energies too large for He isotopes.…”

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Mean-Field Theoretical Structure of He and Be Isotopes

Lee¹,

Son²,

Park³

2007

J. Korean Phy. Soc.

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The structures of He and Be even-even isotopes are investigated using an axially symmetric Hartree-Fock approach with a Skyrme-IIIls mean field potential. In these simple HF calculations, He and Be isotopes appear to be prolate in their ground states and Be isotopes have oblate shape isomeric states. It is also shown that there exists a level crossing when the nuclear shape changes from the prolate state to the oblate state. The single neutron levels of Be isotopes exhibit a neutron magic number 6 instead of 8 and show that the level inversion between 1/2 − and 1/2 + levels occurs only for a largely deformed isotope. Protons are bound stronger in the isotope with more neutrons while neutron levels are somewhat insensitive to the number of neutrons and thus the nuclear size and also the neutron skin become larger as the neutron number increases. In these simple calculations with Skyrme-IIIls interaction no system with a clear indication of neutron halo was found among He and Be isotopes. Owing to the progress of experimental techniques, information concerning the ground state and the excited states of light unstable nuclei has rapidly increased. Furthermore radioactive ion beam accelerator will produce various unstable nuclei far from β-stability line. In light stable nuclei, it has already been known that clustering is one of the essential features of nuclear dynamics not only in excited states but also in ground states. Thus we may expect cluster structures in light unstable nuclei. Pioneering theoretical studies have suggested the development of cluster structures with a 2α core in Be and B isotopes [1,2,3,4,5]. The α chain structures of 8 Be and 12 C was investigated using a relativistic mean field (RMF) approximation [6]. In the case of 12 Be, the existence of cluster states was suggested in experimental measurements of the excited states [7] and in experiments of 6 He+ 6 He and 8 He+ 4 He breakup reactions [8]. The measured spin-parities of excited states indicate a rotational band with a large moment of inertia. These states are candidates of states with cluster structure. It is an interesting subject to investigate clustering aspects in Be isotopes. The cluster structures of 12 Be were studied with a potential model with He clusters [9] and with an algebraic version of resonating group model [10] using α particles as inert clusters. To eliminate the model assumption of inert α cluster an antisymmetrized molecular dynamics (AMD) [11] is used in study of Be isotopes. However this study uses inert Gaussian wave packets to represent nucleons. These studies treat α particles as inert clusters or nucleon as a fixed Gaussian packet, and thus miss any detailed structure of nuclei and any change of the internal structure of α particles in a nucleus. For a study of the detailed nuclear structure (such as size, shape, quadrupole moment, single nucleon levels) of these unstable nuclei, we need to use a self-consistent mean field approach in terms of nucleon itself. Mean field approaches have been applied successfully...

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