Relative stability and magic numbers of nuclei deduced from behavior of cluster emission half-lives

Ismail, M.; Seif, W. M.; Abdurrahman, A.

doi:10.1103/physrevc.94.024316

Cited by 43 publications

(48 citation statements)

References 71 publications

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“…Numerical results are presented in Fig. 1, where the differential penetrabilities for the proton emitter 159 Re, α emitter 212 Po, and 34 Si emitter 242 Cm normalized to their maximum values are plotted. From Fig.…”

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confidence: 99%

“…1 one could see that, when the D values are tuned to be the same, the anisotropic effect is the weakest for proton emission and the strongest for heavy cluster emission. For example, given D = 1, the differential penetrability P (Θ) varies by around one order of magnitude from Θ = 0 to Θ = π/2 for the proton emitter 159 Re, around four orders of magnitude for the α emitter 212 Po, and more than twenty orders of magnitude for the 34 Si emitter 242 Cm.…”

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confidence: 99%

“…We then try to determine the critical value D crit beyond which the total penetrability gets a strong increase, and study the influence of nuclear deformations. For these purposes, we study the proton-emission channel of 166 Ir (L = 2) and the 34 Si-emission channel of 242 Cm, along with their accompanying α-decay channels. The numerical results are presented in in the other the daughter or cluster nucleus is treated as axially deformed.…”

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Charged particle emissions in high-frequency alternative electric fields

2018

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Proton emission, α decay, and cluster radioactivity play an important role in nuclear physics.We show that high-frequency alternative electric fields could deform Coulomb barriers that trap the charged particle, and raise the possibility of speeding up charged particle emissions. They could also cause anisotropic effects in charged particle emissions, and introduce additional terms in the Geiger-Nuttall laws. Our study may further suggest that, for proton emitters like 166 Ir, when the electric field is strong, the dominant decay mode could be changed from α decay to proton emission. As high-frequency alternative electric fields correspond to high-frequency laser fields in the dipole approximation, our study could be viewed as a benchmark for future theoretical studies of charged particle emissions in realistic laser fields.Recent years witness great progress in studying proton emission, α decay, and cluster radioactivity [1][2][3][4]. Historically, modern theoretical nuclear physics originates from the explanation of α decay by Gamow, Gurney and Condon in 1928 [5, 6]. Interests in alpha decay persist after that, and lots of interesting results have been obtained . Later discoveries of proton emission in the 1960s [37,38] and cluster radioactivity in the 1980s [39,40] also make important contributions to deepening our understanding of nuclei lying near the border of nuclear stability. Recently, it is pointed out by Ref. [41][42][43][44][45][46][47] that, α decay, proton emission, and cluster radioactivity could be described systematically using unified decay rules. For a pedagogic introduction to charged particle emissions, we would like to recommend Ref. [1]. In the last few years, several works [50][51][52][53][54][55][56] are devoted to α decay in strong electromagnetic fields, partially inspired by the upcoming powerful laser facilities in the near future [48, 49]. These studies provide some preliminary hints that strong laser fields could speed up α decays. This is not only interesting from the pure academic viewpoint, but also might be helpful for decontaminating α-radioactive nuclear wastes. In this note, we study charged particle emissions in high-frequency alternative electric fields, treating α decay, proton emission, cluster radioactivity in a unified approach inspired by Ref. [41][42][43][44][45][46][47].By high-frequency alternative electric fields, we refer to alternative electric fields with frequencies (photon energies ω) much higher than the Q values of charged particle emissions, which means ω Q α ∼ 10 MeV, Q p ∼ 1 MeV, Q c ∼ 50 MeV for α decay, proton emission, and cluster radioactivity, respectively. High-frequency alternative electric fields correspond 1/3 d and R c0 = 1.2A 1/3 c are their radii. β 2d and β 2c are the corresponding deformation parameters. The spherical Coulomb potential could be restored by setting β λ = 0.

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Charged particle emissions in high-frequency alternative electric fields

2018

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“…The value of log T α tends to become minimum for some elements at N d = 184, the minima at this neutron number are shallow and not too clear and the values of log T α for different isotones of the daughter nuclei are arranged as shown in Table 1. It should be noted that Z d = 116 and 114 are magic numbers found by other authors [43][44][45]. Thus, N = 184 is a neutron magic number deduced in the present study (it was found also in Refs.…”

Section: Resultsmentioning

confidence: 49%

“…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%