Systematics of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-decay half-lives around shell closures

Ismail, M.; Ellithi, A. Y.; Botros, M. M.; Adel, A.

doi:10.1103/physrevc.81.024602

Cited by 88 publications

(53 citation statements)

References 65 publications

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“…The choice of this interaction in the current study, in addition to the SLy4 force, is due to its success in describing the different nuclear structure properties, the α-decay half-lives, and different nuclear reactions in various studies [42][43][44][45][46]. Like the nuclear potential, the Coulomb potential will be calculated microscopically within the folding model [47].…”

Section: Theorectical Backgroundmentioning

confidence: 98%

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: 98%

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

2011

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“…Thus, N = 184 is a neutron magic number deduced in the present study (it was found also in Refs. [15,26,45,46]). A sudden increase in log T α occurs for elements 118 ≤ Z p ≤ 122 at parent neutron number N p = 196.…”

Section: Resultsmentioning

confidence: 97%

“…In addition, the minimization procedure of the total energy, including shell and pairing energies, of a nuclear system with respect to proton and neutron numbers predicts magic numbers and give idea about the relative stability of different nuclei [23][24][25]. Recently, the behavior of half-life time of α-decay with variation of proton or neutron numbers and the study of α-particle preformation probability were used to predict new magic numbers or to confirm known magic numbers found by other different methods [1,26]. In α-emission, the half-life time becomes minimum when the neutron or proton numbers of the corresponding daughter nucleus are magic.…”

Section: Introductionmentioning

confidence: 97%

“…Moreover, the half-life time is maximum for parent nucleus with magicity. In displaying log T α against the neutron number of the daughter nucleus for a Po element [26], a too deep minimum value occurs at N d = 126 which is a finger print of the double magic number nucleus 208 Pb. If we add to the graph other Z-values as Z = 82, 86, 88, ..., the minimum value at N d =126 is still the clear and deepest minimum while other isotones of N = 126 are arranged over the deepest one in order of decreasing stability against α-emission.…”

Section: Introductionmentioning

confidence: 99%

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Alpha-decay of deformed superheavy nuclei as a probe of shell closures

et al. 2017

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“…Our aim in the present work is to compare the results obtained by the universal curve based on a simple penetration probability with those obtained from more realistic calculations in terms of realistic nucleon-nucleon (NN) interaction. However, we illustrate the validity of representing the realistic calculations performed for the quantities participating in the different stages of the  emission process such as the penetrability and the assault frequency, in the frame work of the DDCM [6,12], by universal curve(s). We consider also the contributions of the different nuclear structure properties, such as the deformations of the involved nuclei and the angular momentum carried by the emitted  particle in the unfavored decays [23].…”

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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Systematics ofα-decay half-lives around shell closures

Cited by 88 publications

References 65 publications

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

Isospin asymmetry dependence of theαspectroscopic factor for heavy nuclei

Alpha-decay of deformed superheavy nuclei as a probe of shell closures

Single universal curve forαdecay derived from semi-microscopic calculations

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