6He + 6He Clustering of 12Be in a Microscopic Algebraic Approach

Filippov, G.F.; Lashko, Yu. A.; Korennov, S. V.; Katō, Kiyoshi

doi:10.1007/s00601-003-0020-4

Cited by 8 publications

(29 citation statements)

References 17 publications

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“…The values of the quadrupole moment show that the ground states of He and Be isotopes are prolate while the shape isomeric excited states of Be isotopes are oblate. Even though we have not required the reflection symmetry in z-direction here, the results show that the states of He and Be nuclei obtained here have a reflection symmetry in the z-direction (i.e., π z is a good quantum number) and thus have a positive parity due to the filling of both ±Ω levels of the even-even isotopes except for 10 He and 18 Be which have an asymmetric chain structure. The single neutron levels in He and Be isotopes are somewhat insensitive to the number of neutrons in the isotope.…”

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confidence: 79%

“…The single nucleon levels in 10 MeV for 6 He and 8 He respectively while two-neutron separation energies are 0.97 MeV and 2.14 MeV respectively [32,37]. 6 He has also a large neutron rms radius which is similar to the rms radius of 8 He.…”

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confidence: 80%

“…For a quantitative examination we first need to implement CM energy correction more self-consistently [34,35] and need to search appropriate Skyrme interaction which predicts correctly not only the binding energy but also other properties too such as the size and deformation. The binding energy and the root mean square (rms) radius of nuclear distribution show that 10 Be is bound most strongly among Be isotopes considered here while 4 He is most stable among He isotopes. Empirically, 8 Be is bound stronger than 10 Be.…”

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confidence: 87%

“…The binding energy and the root mean square (rms) radius of nuclear distribution show that 10 Be is bound most strongly among Be isotopes considered here while 4 He is most stable among He isotopes. Empirically, 8 Be is bound stronger than 10 Be. However AMD-HF calculation [12] also shows that 10 Be is bound stronger than 8 Be.…”

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confidence: 87%

“…While the neutron distribution is spherical in 4 He and near spherical in 8 He, it is deformed prolate in 6 He. The nuclear density profiles (see Fig.1) show that the large rms radius and quadrupole moment of neutron distribution for 10 He and 12 He come from the 8 He+2n and 2n+ 8 He+2n like chain structure respectively where the centers of each cluster are about 6 fm apart. Note that in Fig.1 8 He+2n like chain structure with two 2n clusters located symmetrically.…”

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confidence: 97%

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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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confidence: 79%

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confidence: 80%