Systematic study on the proton radioactivity of spherical proton emitters

In the present work, the α-particle preformation in heavy and superheavy nuclei from {220}{Th} to {294}{Og} have been investigated. Combing the experimental α decay energies and half-lives, the α-particle preformation factors Pα are extracted from the ratios between theoretical α decay half-lives calculated by Two-Potential Approach (TPA) and experimental data. It is found that the α-particle preformation factors show the obvious odd-even staggering behavior and unpaired nucleons will inhibit α-particle preformation. Meanwhile, it is also found that both the α decay energy and the mass number of parent nucleus show considerable regularity with the extracted experimental α-particle preformation factors. After considering the major physical factors, a local phenomenological formula with only five valid parameters for α-particle preformation factors Pα is proposed. This analytic expression not only has clear physical meaning but also has good precision. As an application, this analytic formula is extended to estimate the α-particle preformation factors and further predict the α decay half-lives for unknown even-even nuclei with Z = 118 and 120.

Section: R F − Ogmentioning

confidence: 99%

“…The value is extremely important for predicting α decay half-lives, and the estimation of corresponding preformation factors is also related to decay energy, as shown in Eq. (15). For more scientific predictions, two credible mass models, FRDM [65] and WS4+ [66], are used to predict α decay energy.…”

Section: Q αmentioning

confidence: 99%

α-particle preformation factors in heavy and superheavy nuclei*

Luo 骆,

Zhang 张,

Qi 亓

et al. 2024

“…Research on proton emission may have important implications for facilitating the extant nuclear theories and models, obtaining spectroscopic information, and determining nuclear deformation, among other purposes [10][11][12][13][14][15][16]. Therefore, numerous attempts have been made to study this phenomenon in theory [17][18][19][20][21][22][23][24][25].…”

Section: Q Pmentioning

confidence: 99%

Theoretical calculations of proton emission half-lives based on a deformed Gamow-like model*

Zhang 张,

Hu 胡,

Qi 亓

et al. 2024

In the present study, proton emission half-lives have been investigated for the deformed proton emitters of proton number range $53\leq Z \leq 83$ within the deformed Gamow-like model, where the deformation effect has been included in the Coulomb potential. The calculated results can reproduce the experimental half-lives successfully within a factor of 3.45. For comparison, we also perform calculations with other different models, including the universal decay law for proton emission and the new Geiger-Nuttall law. Furthermore, the relevance of the half-lives to the angular momentum $l$ for $^{117}$La, $^{121}$Pr, $^{135}$Tb and $^{141}$Ho has been analysed as well as corresponding possible reference values of $l$ has been put forward: $l=$3, 3, 4, 4.

“…Soon after that, Rutherford observed the spontaneous emission of α particles from the nuclei in an experiment and named the process as α decay [2,3]. It was not until 1928 that Gurdney and Condon as well as Gamow independently succeeded in providing a theoretical explana-tion of α decay using the tunneling effect of quantum mechanics [4][5][6]. Nowadays, many types of spontaneous radioactivity of nuclei are known to exist [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Systematic study of cluster radioactivity in trans-lead nuclei with various versions of proximity potential formalisms*

Liu 刘,

Jiang 蒋,

Wu 吴

et al. 2024

In this work, based on the framework of the Coulomb and proximity potential model (CPPM), we systematically study the cluster radioactivity half-lives of 26 trans-lead nuclei by considering the cluster preformation probability which is found to possess a simple mass dependence on the emitted cluster by R. Blendowske and H. Walliser [Phys. Rev. Lett. 61, 1930(1988)]. Meanwhile, we investigate 28 different versions of the proximity potential formalisms, which \added{are the most complete known proximity potential formalisms and} have been proposed for the description of proton radioactivity, two-proton radioactivity, $\alpha$ decay, heavy-ion radioactivity, quasi-elastic scattering, fusion reactions and other applications. The calculated results show that the modified forms of proximity potential 1977 denoted as Prox.77-12 and the proximity potential 1981 denoted as Prox.81 are the most appropriate proximity potential formalisms for the study of cluster radioactivity as the root-mean-square deviation between experimental data and relevant theoretical results obtained are least and the both values are 0.681. For comparison, a universal decay law (UDL) proposed by Qi \textit{et al.} [Phys. Rev. C 80, 044326 (2009)], a unified formula of half-lives for $\alpha$ decay and cluster radioactivity proposed by Ni \textit{et al.} [Phys. Rev. C 78, 044310 (2008)] and a scaling law (SL) in cluster decay proposed by Horoi \textit{et al.} [J. Phys. G 30, 945 (2004)] are also used.In addition, utilizing CPPM with Prox.77-12\added{, Prox.77-1, Prox.77-2} and Prox.81, we predict the half-lives of 51 potential cluster radioactive candidates whose cluster radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. The predicted results are in the same order of magnitude with those obtained by using the compared semi-empirical and/or empirical formulae. \added{At the same time, the competition between $\alpha$ decay and cluster radioactivity of these predicted nuclei is discussed and it is found that $\alpha$ decay predominates by comparing half-lives}