AlgebraicC12+12

Abstract

A semimicroscopic algebraic C+ C cluster model is applied to describe the structure of the Mg nucleus. The spectrum of the T = 0 states is analyzed in terms of this con6guration with C clusters allowed to occupy their 0+(0.0 MeV), 2+(4.439 MeV), and 4 (14.083 MeV) states. About a hundred experimental levels below E 16 MeV are assigned to model bands. A large number of observed reduced E2 transition probabilities are reproduced fairly well indicating the approximate realization of SU(3) dynamical symmetry. The spectrum of molecular resonances is also described reasonably well. E2 transitions within this region are found to be significantly weaker than what has been predicted by other models.PACS number(s): 21.60. Fw, 21.60.Gx, 23.20.Lv, 27.30.+t

Semimicroscopic algebraic description ofαclustering in22Ne

“…This correlated behavior was interpreted for A = 18 to 20 nuclei in terms of a new cluster supersymmetry scheme [21], in which the bosonic degree of freedom was associated to the excitations of the relative motion, while the fermionic structure was represented by 0, 1 or 2 holes in the p shell. Other cluster structures with heavier clusters were also discussed in terms of the SACM [22].…”

“…Since such low-lying negative-parity bands typically appear in sd-shell nuclei, in previous applications of the SACM in this domain this situation was handled on the phenomenological level by considering n π -, or parity-dependent κ 2 terms [19,22]. It is also possible to take into account the different moments of inertia associated to different bands.…”

“…The core nucleus for 22 Ne is 18 O. In the Elliott scheme its ground-state configuration is described by the (4,0) SU C (3) representation that contains the 0 + ground state and the first excited 2 + (1.98) and 4 + (3.55) states.…”

“…The spin-isospin structure is T = 1 and S = 0, which means that the orbital angular momentum is responsible for the J angular momentum of the nucleus. The model space for 22 Ne is displayed in Table I.…”

“…II we present the main features of the SACM. Section III contains the SACM description of the 22 Ne nucleus in terms of the 18 O+α configuration, while in Sec. IV the results are compared with those obtained from the GCM and DAMD approaches.…”