  One-proton radioactivity in 149Lu, the latest identified proton emitter, is
studied in the Wentzel-Kramers-Brillouin (WKB) approach with the proton-nucleus
potential extracted from the deformed relativistic Hartree-Bogoliubov theory in
continuum (DRHBc) for the first time. The predicted half-life turns out to be
consistent with the experimental measurement within uncertainties and (almost)
independent of the density functionals in the DRHBc theory. Such a microscopic
self-consistent calculation reveals that 149Lu is oblately deformed with a
quadrupole deformation -0.18, and rules out the possibility of a prolate
quadrupole deformation suggested in the nonadiabatic quasiparticle model. We
also check the validity of this approach in the description of 150,151Lu and
their isomeric states. The deviations of the predicted half-lives from their
experimental counterparts are mostly smaller than those of the theoretical
studies without considering deformation effects. Furthermore, we predict 148Lu
to be a more oblately deformed proton-emitter with a longer half-life than that
of 149Lu, which can be checked in the future. Our studies show that the DRHBc
plus WKB approach provides a new alternative method to evaluate the half-lives
of well-deformed proton emitters.
