Spectroscopic factors and cluster decay half-lives of heavy nuclei

Abstract

The cluster radioactivity is treated under the assumption that the light clusters are produced by a collective motion of the nuclear system in the charge asymmetry coordinate with further penetration through the Coulomb barrier. The known experimental data on cluster radioactivity are described. The half-lives of cluster emission of neutron-deficient actinides and medium-mass nuclei are predicted.

Role of higher-multipole deformations in exoticC14cluster radioactivity

“…We notice that whereas P and ν are almost independent of the choice of deformation and orientation effects, P 0 is much larger for the case of deformations and orientations included. For the case of higher-multipole deformations included [the (β 2i , β 3i , β 4i ) case, showing the best fit to T 1/2 data], P 0 for 14 C lies in the range of 2.21 × 10 −15 to 4.55 × 10 −19 , which is smaller, though, than the predicted values of many other models [11,16,[19][20][21], including the first estimate of Rose and Jones [5] for the calculated P 0 (α) values of, say, Refs. [34,36].…”

“…Later, many theoretical models were advanced to describe the cluster decay modes, which can broadly be classified into two main approaches. In one such method, the α particle as well as the heavy cluster(s) are assumed to be preborn with different probabilities in the parent nucleus, before they could penetrate the relevant barrier with the available Q value(s); this models is called the preformed cluster model (PCM) [6][7][8][9][10][11]. In the second approach, known as the unified fission model (UFM) [4,[12][13][14][15][16][17][18], cluster radioactivity is considered simply as a barrier penetration phenomenon, in between the fission and the α decay, without worrying about the cluster being or not being preformed in the parent nucleus.…”

Attempt to probe nuclear charge radii by cluster and proton emissions

“…In the preformed cluster model (PCM), the cluster emission process is described in collective coordinates where the cluster formation probability is obtained by solving the stationary Schrödinger equation for the dynamical flow of mass or charge [13,14]. There is also another calculation in view of the PCM performed by Blendowske and Walliser [31], in which P c is calculated via a simple formula related to the mass number of the emitted cluster:…”

“…Similar to α decay and proton emission, cluster radioactivity, as another process triggered by the strong interaction, was predicted and then experimentally identified in the 1980s [5,6]. Like the traditional α-decay treatment, theoretical calculation of the half-lives of proton and cluster emissions can be generally divided as follows: phenomenological analysis [7][8][9][10], the semi-classical Wentzel-Kramers-Brillouin (WKB) approximation [11][12][13][14][15][16], and the microscopical solution of Schrödinger equations [17][18][19]. It is to be noted that these theoretical calculations show good agreement with the experimental half-lives of proton emission, α decay, or heavier cluster radioactivity.…”

Dinuclear system model in spontaneous fission process

“…The model presented here belongs to the cluster type [3][4][5][6][7][8][9][10]. As assumed, the ground state of nucleus has a small admixture of the cluster-state components [11][12][13][14][15][16].…”