https://doi.org/10.1140/epja/s10050-023-01138-w
Regular Article - Theoretical Physics
Unusual behavior in the systematics of 
-preformation factors above Z, 
doubly magic shell closures
1
College of Physics and Optoelectronic Engineering, Shenzhen University, 518060, Shenzhen, China
2
School of Physics Science and Engineering, Tongji University, 200092, Shanghai, China
Received:
26
July
2023
Accepted:
26
September
2023
Published online:
10
October
2023
The systematics of -preformation factor (
) above the Z, shell closures is investigated with the dynamical double-folding potential (DDFP) which incorporates the nuclear medium effect in decay. With the accuracy of the DDFP verified in the half-life calculation, the factors are deduced from the available experimental -decay energies and half-lives. The result suggests that the relative -reduced width 
of 
Te is 6.54, which stands with the experimental conclusion 
[Phys. Rev. Lett. 121, 182501, 2018], and is very close to the theoretical value 6.92 from the microscopic quartetting wavefunction approach (QWA) [Phys. Rev. C 101, 024316, 2020]. The variations above Z, are found to show an unusual behavior which is different from the known systematics above the 
, 
shell closures. The correlations of factors with different types of two-nucleon correlated interactions are analyzed in detail, which suggests that the large enhancement of the proton–neutron interaction along with its positive correlation with the value probably accounts for the unusual systematics in this region. All these indications imply a likely predominant role played by the proton–neutron correlation against the pairing correlations in contributing to the -cluster formation for nuclei in the 
Sn neighboring region.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
