Magic numbers for superheavy nuclei in relativistic continuum Hartree-Bogoliubov theory

The magic proton and neutron numbers are searched in the superheavy region with proton number Z=100-140 and neutron number N=(Z+30)-(2Z+32) in the relativistic continuum Hartree-Bogoliubov (RCHB) theory with effective interactions NL1, NL3, NLSH, TM1, TW99, DD-ME1, PK1, and PK1R. Based on the two-nucleon separation energies S2p and S2n, the two-nucleon gaps δ2p and δ2n, the shell correction energies Eshellp and Eshelln, the pairing energies Epairp and Epairn, and the pairing gaps Δp and Δn, Z=120, 132, and 138 and N=172, 184, 198, 228, 238, and 258 are suggested to be the magic numbers within the present approach. The α-decay half-lives are also discussed. In addition, the potential energy surfaces of possible doubly magic nuclei are obtained by using the deformation-constrained relativistic mean field (RMF) theory, and the shell effects stabilizing nuclei are investigated.