α decay as a probe of nuclear incompressibility

Seif, W. M.

doi:10.1103/physrevc.74.034302

Cited by 57 publications

(20 citation statements)

References 76 publications

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“…Through the different models of α and cluster decays, the microscopic folding interaction potential between the density distributions of the emitted α (cluster) and the residual daughter nucleus have been widely used in different recent studies. The calculated folding potential is usually based on either the density-independent or the densitydependent forms of the realistic M3Y NN effective interactions [17,25,26].…”

Section: Theorectical Backgroundmentioning

confidence: 99%

“…The α spectroscopic factor or the α preformation probability is investigated in the most theoretical studies through its relation with the α-decay width, and consequently the half-life, of heavy nuclei [16]. This is the reason why α decay is an important tool to investigate the different nuclear structure effects, such as the valence neutrons and protons, or holes, inside the parent nucleus [5], its isospin asymmetry and its incompressibility [17], in addition to the collective vibrational excitations [10] and deformations. Actually, the decay could end up in different daughter states and the branching ratios of α decay to these different states can be determined.…”

Section: Introductionmentioning

confidence: 99%

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Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

2011

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Both the valence nucleons (holes) and the isospin asymmetry dependencies of the preformation probability of an α-cluster inside parents radioactive nuclei are investigated. The calculations are employed in the framework of the density-dependent cluster model of an α-decay process for the even-even spherical parents nuclei with protons number around the closed shell Z 0 = 82 and neutrons number around the closed shells Z 0 = 82 and Z 0 = 126. The microscopic α-daughter nuclear interaction potential is calculated in the framework of the Hamiltonian energy density approach based on the SLy4 Skyrme-like effective interaction. Also, the calculations based on the realistic effective M3Y-Paris nucleon-nucleon force have been used to confirm the results. The calculations then proceed to find the assault frequency and the α penetration probability within the WKB approximation. The half-lives of the different mentioned α decays are then determined and have been used in turn to find the α spectroscopic factor. We found that the spectroscopic factor increases with increasing the isospin asymmetry of the parent nuclei if they have valence protons and neutrons. When the parent nuclei have neutron or proton holes in addition to the valence protons or neutrons, then the spectroscopic factor is found to decrease with increasing isospin asymmetry. The obtained results show also that the deduced spectroscopic factors follow individual linear behaviors as a function of the multiplication of the valence proton (N p ) and neutron (N n ) numbers. These linear dependencies are correlated with the closed shells core (Z 0 , N 0 ). The same individual linear behaviors are obtained as a function of the multiplication of N p N n and the isospin asymmetry parameter, N p N n I . Moreover, the whole deduced spectroscopic factors are found to exhibit a nearly general linear trend with the function N p N n /(Z 0 + N 0 ).

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Section: Theorectical Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

2011

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“…α decay, which is one of the most significant tools for exploring nuclear structure information, can provide the information of ground-state lifetime, nuclear force, nuclear matter incompressibility, spin and parity of nuclei [1][2][3][4]. In 1928, Gamow, Condon and Gurney independently proposed the quantum tunneling theory [5,6] named Gamow theory.…”

Section: Introductionmentioning

confidence: 99%

Systematic study of the $α$ decay preformation factor of nuclei around the $\boldsymbol{Z=82}$, $\boldsymbol{N=126}$ shell closures within a generalized liquid drop model

Liu,

Zou,

Bao

et al. 2020

Preprint

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In this work, we systematically study the α decay preformation factors Pα and α decay half-lives of 152 nuclei around Z = 82, N = 126 closed shells based on a generalized liquid drop model while Pα is extracted from the ratio of the calculated α decay half-life to the experimental one. The results show that there is an obvious linear relationship between Pα and the product of valance protons (holes) Np and valance neutrons (holes) Nn. At the same time, we extract the α decay preformation factors values of even-even nuclei around Z = 82, N = 126 closed shells from the work of Sun et al. [J. Phys. G: Nucl. Part. Phys. 45, 075106 (2018)], in which the α decay preformation factors can be calculated by two different microscopic formulas. We find that the α decay preformation factors are also related to NpNn. Combining with our previous works [Sun et al.,

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“…-decay is one of the prominent decay modes of heavy and synthesized superheavy nuclei [1,2]. The half-lives of the -decay modes would provide useful information on the detailed structure of the participating nuclei [3,4,5,6,7,8]. Various microscopic and semimicroscopic approaches [9], and phenomenological methods [10,11], were performed to investigate the -decay process, as a fundamental quantum-tunneling phenomena.…”

Section: Introductionmentioning

confidence: 99%

Single universal curve forαdecay derived from semi-microscopic calculations

et al. 2015

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A universal curve is one of the simple ways to get preliminary information about the -decay half-life times of heavy nuclei. We try to find parameterization for the universal curve of  decay based on semi-microscopic calculations, starting from the realistic M3Y-Reid nucleon-nucleon interaction. Within the deformed density-dependent cluster model, the penetration probability and the assault frequency are calculated using the Wentzel-Kramers-Brillouin (WKB) approximation. The deformations of daughter nuclei and the ground-state spin and parity of the involved nuclei are considered. For all studied decays, we found that it is accurate enough to express the assault frequency either as a function of the mass number of the parent nuclei or as a constant average value. The average preformation probability of the  cluster inside four groups of 166 even (Z)-even (N), 117 odd-even, 141 even-odd, and 72 odd-odd -emitters are obtained, individually. The effects of participating unpaired nucleons in the involved nuclei, as well as the influence of any differences in their ground-state spin and/or parity, appear in the obtained average values of the preformation probability. We suggested a single universal curve for  decay with only one parameter. This parameter varies according to the classified four groups. It includes the preformation probability and the average assault frequency, in addition to the pairing contribution.

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α decay as a probe of nuclear incompressibility

Cited by 57 publications

References 76 publications

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

Systematic study of the $α$ decay preformation factor of nuclei around the $\boldsymbol{Z=82}$, $\boldsymbol{N=126}$ shell closures within a generalized liquid drop model

Single universal curve forαdecay derived from semi-microscopic calculations

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