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Effect of the spin–orbit interaction on the structure and two-proton radioactivity of 18Mg
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W
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J
DOI:10.1007/s41365-026-02034-w.png)
Abstract
En 中文
The influence of the spin–orbit coupling strength (W) on the structure and two-proton (2p) radioactivity of $$^{18}$$ Mg is examined using the spherical Skyrme–Hartree–Fock–Bogoliubov (SHFB) approach with the SLy4 interaction and a mean-field cluster potential framework. Our calculations show that increasing W increases the splitting of the single-proton 1d orbitals. Meanwhile, the 2s $$_{1/2}$$ proton state evolves from a weakly bound state into a resonance in the continuum. As W increases, the occupation probability of the 2s $$_{1/2}$$ proton state decreases, and its radial density profile near the nuclear surface becomes less diffuse. Furthermore, both the spectroscopic factor S $$_\text {2p}^{^{\prime }}$$ and the decay energy $$Q_\text {2p}$$ for 2p radioactivity gradually decrease with increasing W, resulting in a longer half-life. When $$Q_\text {2p}$$ is held constant, the half-life is significantly enhanced by including S $$_{2p}^{^{\prime }}$$ . Meanwhile, it is found that the depth of the diproton cluster potential well increases with W, while the corresponding S $$_\text {2p}^{^{\prime }}$$ becomes smaller, indicating that the diproton cluster is considerably looser than the $$\alpha$$ -cluster. Additionally, a clear linear correlation is observed between log $$_{10}S_\text {2p}^{\prime }$$ and $$Q_\text {2p}$$ , as well as between log $$_{10}S_\text {2p}^{\prime }$$ and W. The logarithmic half-lives, both with and without the inclusion of S $$_\text {2p}^{^{\prime }}$$ , exhibit good linear relationships with W and Q $$_\text {2p}^{-1/2}$$ , respectively. Finally, using the experimental $$Q_\text {2p}$$ value of $$^{18}$$ Mg (3.440(34) MeV), the optimal W is determined to be 1.152(8) $$W_{0}$$ with $$W_{0}$$ =123 MeV fm $$^{5}$$ .
Keywords:
2p radioactivity
Spin–orbit interaction strength
SHFB theory
Mean-field cluster potential approach
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