Emitters of two-proton (2p) radioactivity usually exist in the proton-rich region of the nuclide chart with relatively large proton number and isospin asymmetry. By using the density-dependent M3Y effective interactions (BDM3Y1, DDM3Y1, and CDM3Y6), the decay half-lives of 2p-radioactivity emitters are calculated within the density-dependent cluster model. Considering the isospin-asymmetric effect in the decay system, the proton skin thickness of the daughter nucleus is introduced into the calculation of the nuclear potential between the 2p cluster and the daughter nucleus, which includes both isoscalar and isovector parts. Hence the symmetry energy $E_{\mathrm{sym}}\left({\rho }_0\right)$ and its density slope $L\left({\rho }_0\right)$ at the normal density ${\rho }_0$ can be extracted from the properties of 2p radioactivity within the Hartree-Fock approach. Under the well-constrained range of the symmetry energy $E_{\mathrm{sym}}\left({\rho }_0\right)$, the corresponding extraction of its density slope $L\left({\rho }_0\right)$ is consistent with previous calculations. Meanwhile, the proton skin thickness of the daughter nucleus is also predicted and a good linear dependence of the proton skin thickness on the isospin asymmetry is obtained.

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• Lifetimes & widths
• Nuclear charge distribution
• Nuclear forces
• Nuclear matter
• Nuclear structure & decays
• Nucleon distribution
• Proton emission
• Symmetry energy