α-Cluster structure above double-shell closures and α-decay of 104Te

Abstract

An analysis of the α + core properties of 104 Te along with a global discussion on the α-cluster structure above the double-shell closures is presented from the viewpoint of the local potential model.The α + core interaction is described by a nuclear potential of (1 + Gaussian)×(W.S. + W.S. 3 ) shape with two free parameters, which has been successfully tested in nuclei of different mass regions. The model produces Q α values and α-decay half-lives for 104 Te in agreement with the 2018 experimental data of Auranen et al. in the energy range 5.13 MeV < Q α < 5.3 MeV using an α preformation factor P α = 1. The comparison of the calculated reduced α-widths for the ground state bands of 104 Te, 94 Mo and 212 Po indicatesthat 104 Te has an α-cluster degree significantly higher than 94 Mo and much higher than 212 Po.These results point to 104 Te as a preferential nucleus for α-clustering in the N, Z = 50 region and corroborate the statement on the superallowed α-decay in 104 Te.

Search for the $α$ + core structure in the ground state bands of $22 \leq Z \leq 42$ even-even nuclei

“…In this way, some works demonstrate that the nuclei with the α + DCSC configuration can be systematically analyzed with the same α + core potential type, providing a good general agreement with experimental data, as shown in Refs. [5,15,[17][18][19]. In the recent work of D. Bai and Z. Ren [19], a study on the α-cluster structure above double shell closures via double-folding potentials is shown, analyzing the 8 Be, 20 Ne, 44,52 Ti, and 212 Po nuclei; this study presents a detailed connection of the α + core potential with the chiral effective field theory.…”

“…In the last decades, α-clustering has been analyzed by LPM in several studies emphasizing the nuclei with the α + {doubly closed shell core} (hereafter: α + DCSC) configuration, such as 20 Ne, 44 Ti, 52 Ti, 60 Zn, 94 Mo, and 212 Po (examples in Refs. [5][6][7][8][9][10][11][12][13][14][15][16][17][18]). In this way, some works demonstrate that the nuclei with the α + DCSC configuration can be systematically analyzed with the same α + core potential type, providing a good general agreement with experimental data, as shown in Refs.…”

“…Due to experimental data published in 2018 by Auranen et al on 104 Te [20], further work was made on αclustering above the double shell closure at 100 Sn, such as D. Bai and Z. Ren [21], M. A. Souza et al [17], and T. T. Ibrahim et al [18], including the microscopic calculation of S. Yang et al [22], obtaining results compatible with the experimental α-decay half-life of 104 Te. Additional experimental data on energy levels, electromagnetic transition rates, half-lives of the excited states, etc.…”

“…A natural path in the development of the α-cluster model was its application in the A ∼ 90 region, due to the proximity of the neutron shell closure at N = 50 and proton subshell closure at Z = 40. Calculations on 94 Mo in terms of an α+ 90 Zr system were made by different authors with favorable results [5,7,8,11,12,14,17,18]. In order to extend the application of the model to nuclei around 94 Mo, the present authors made a study on the α + core structure in 90 Sr, 92 Zr, 94 Mo, 96 Ru, and 98 Pd using the W.S.…”

“…Our studies in Refs. [12,17,32] suggest that LPM can be applied systematically in nuclei of distinct mass regions, including cases without the α + DCSC configuration. Therefore, the present work proposes a comprehensive study of the α + core structure in several even-even nuclei in the Z-region delimited by two nuclei with a well-recognized α-cluster structure: 44 Ti and 94 Mo (22 ≤ Z ≤ 42 or 20 ≤ Z core ≤ 40).…”