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Half-life of proton radioactivity of spherical proton emitters is studiedwithin the scheme of covariant density functional (CDF) theory, and for thefirst time the potential barrier that prevents the emitted proton is extractedwith the similarity renormalization group (SRG) method, in which the spin-orbitpotential along with the others that turn out to be non-negligible can bederived automatically. The spectroscopic factor that is significant is alsoextracted from the CDF calculations. The estimated half-lives are found in goodagreement with the experimental values, which not only confirms the validity ofthe CDF theory in describing the proton-rich nuclei, but also indicates theprediction power of present approach to calculate the half-lives and in turn toextract the structural information of proton emitters.

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