Magic numbers for superheavy nuclei in relativistic continuum Hartree–Bogoliubov theory Original Research Article

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 View the MathML source and View the MathML source, the pairing energies View the MathML source and View the MathML source, 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.