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. With continuous development of the radioactive ion beam facilities, the exotic nuclei far away from the β-stability line attract extensive interests for the new phenomena they present. One of the typical representatives is the proton radioactivity at the vicinity of proton drip line, firstly observed in an isomeric state of 53 Co in 1970 [1, 2]. Since then more and more proton emitters ranging from Z = 51 to 83 have been identified with nuclear ground states or isomeric states [3]. Essentially, it is significant to study the proton emission which corresponds to the fundamental existence limits of neutron-deficient nuclei, i.e., the proton drip line, and it also can be treated as the inverse reaction of the rapid proton capture process that plays an important role in understanding the origin of the elements in the universe [4]. Moreover specific aspects of nucleonic interactions could be isolated and amplified in the proton emitters due to their extreme proton excess [5]. In particular combined with theoretical analysis, nuclear structural information can be extracted from measurements of half-life, proton branching ratio (fine structure), the energy and angular momentum transfer l carried away by the emitted proton, etc. The fact that the half-life of proton emission is sensitive to the Q-value and angular momentum transfer l, not only helps to determine the orbit of the emitted proton in parent nucleus in experiments, but also provides an efficient way to test theoretical models in exploring the neutron-deficient nuclear systems.Theoretically various methods have been employed in describing the properties of proton emitters, such as the spectroscopic factor and the half-life (for review see Ref.[6]). For the half-life that can be measured experimentally, a semiclassical method is applied by treating the proton emission as quantum tunneling through a potential barrier, which is composed of the Coulomb repulsion, centrifugal barrier and effective nuclear potential. Several approaches have been employed in constructing the effective nuclear potential, e.g., in terms of the density-dependent M3Y effective interaction [7], the effective interaction of Jeukenne, Lejeume, and Mahaux [8], the renormalized...