Proton radioactivity described by covariant density functional theory with Similarity Renormalization Group method

Abstract

Half-life of proton radioactivity of spherical proton emitters is studied within the scheme of covariant density functional (CDF) theory, and for the first time the potential barrier that prevents the emitted proton is extracted with the similarity renormalization group (SRG) method, in which the spin-orbit potential along with the others that turn out to be non-negligible can be derived automatically. The spectroscopic factor that is significant is also extracted from the CDF calculations. The estimated half-lives are found in good agreement with the experimental values, which not only confirms the validity of the CDF theory in describing the proton-rich nuclei, but also indicates the prediction power of present approach to calculate the half-lives and in turn to extract the structural information of proton emitters.

6 pages, 2 figures

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• Proton radioactivity within a generalized liquid drop model
• Systematics of proton emission
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• Proton emission with a screened electrostatic barrier
• Two-proton radioactivity within Coulomb and proximity potential model
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Alpha-Cluster formation in heavy alpha-emitters within a multistep model
• Deformation dependence of 2p-radioactivity half-lives: Probe with a new formula across the mass region with Z<82
• Hamiltonian flow equations for a Dirac particle in large scalar and vector potentials
• Impact of Nuclear Deformation of Parent and Daughter Nuclei on One Proton Radioactivity Lifetimes
• Systematic study on proton radioactivity of spherical proton emitters within two--potential approach