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-ME], PK1, and PK1R. Based on the two-nucleon separation energies S-2p and S-2n, the two-nucleon gaps delta(2p) and delta(2n), the shell correction energies E-shell(p) and E-shell(n), the pairing energies E-pair(p) and E-pair(n). and the pairing gaps Delta(p) and Delta(n) 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 of-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. (c) 2005 Elsevier B.V. All rights reserved.