Systematic study of α decay of nuclei around the Z=82, N=126 shell closures within the cluster-formation model and proximity potential 1977 formalism

Abstract

In the present work, we systematically study the α decay preformation factors Pα within the cluster-formation model and α decay half-lives by the proximity potential 1977 formalism for nuclei around Z = 82, N = 126 closed shells. The calculations show that the realistic Pα is linearly dependent on the product of valance protons (holes) and valance neutrons (holes) NpNn. It is consistent with our previous works [X.-D. Sun et al., Phys. Rev. C 94, 024338 (2016), J.-G. Deng et al., Phys. Rev. C 96, 024318 (2017)], which Pα are model-dependent and extracted from the ratios of calculated α half-lives to experimental data. Combining with our previous works, we confirm that the valance proton-neutron interaction plays a key role in the α preformation for nuclei around Z = 82, N = 126 shell closures whether the Pα is model-dependent or microcosmic. In addition, our calculated α decay half-lives by using the proximity potential 1977 formalism taking Pα evaluated by the cluster-formation model can well reproduce the experimental data and significantly reduce the errors.

Theoretical study on favored alpha-decay half-lives of deformed nuclei

“…Recently, cluster formation model (CFM) [31,32,33,34,35] was proposed to extract the α-preformation factor in terms of the α-cluster formation energy based on the binding energy differences of the participating nuclide, which is in good agreement with different microscopical approaches. Deng et al [36] studied the α-decay halflives for nuclei around Z = 82, N = 126 closed shells by the proximity potential 1977 formalism; they confirmed that the effective and microscopic P α within the CFM reduce the discrepancy between theoretical and experimental data in the mentioned region.…”

α -decay properties of even-even superheavy nuclei

“…where a α represents the superposition coefficient of the α-clusterization state Ψ α , E f α represents the formation energy of the α cluster, and E represents energy actually composed of the formation energy of the α cluster and the interaction energy between the α cluster and the daughter nuclei. Within the CFM, for eveneven nuclei, the α-clusterformation energy E f α and the total energy E of a considered system can be expressed as [55]…”

Calculations of the alpha decay half-lives of some Polonium isotopes using the double folding model

“…Alpha decay is an important decay mode that can give information about the structure of nuclei [1,2]. α−decay of nuclei have been investigated using various theoretical approaches such as the generalised liquid † email: wasiu.yahya@gmail.com, wasiu.yahaya@kwasu.edu.ng (1) 2 yahya˙Po˙DFM printed on November 11, 2021 drop model [3][4][5], the effective liquid drop model [6], the modified generalized liquid drop model [7][8][9], the fission-like model [10], the preformed cluster model [11,12], and cluster formation model [13][14][15][16]. These models use various interaction potentials ranging from the phenomenological potential such as the proximity potentials [17], the Woods-Saxon, squared Woods-Saxon, and Cosh potentials to microscopic interactions such as the double folding model.…”