Level structure of the double-shell closure system with Z = 14 and N = 20: 34Si* *Supported by the Institute for Basic Science Korea (IBS-R031-D1), Guangdong Major Project of Basic and Applied Basic Research (2021B0301030006), and computational resources from Sun Yat-sen University

Abstract

The level structure of the double-magic nucleus 34Si (Z = 14, N = 20) was investigated by evaluating the available data. On the basis of experimental results from the beta-decay and fusion-evaporation reactions, we established the level scheme by assigning spin-parities up to 61 + at 6233 keV. The high energy positions of the excited states are consistent with the magicity at 34Si, such as the 22 + state of the spherical ground band at 4.519 MeV and the 3-, 4-, and 5- states of the one-particle one-hole cross-shell states at approximately 4.5 MeV. This nucleus, for a long time, has attracted much attention because of, on one side, a proton bubble structure in the ground state and, on the other side, a deformation in the second 0+ state, 02 +. By a comparison of the constructed level scheme with the shell model calculations, we describe the emerging structures in the ground and second 0+ states and the negative-parity 3- states within the framework of the shell model context. We propose a deformed rotational band with the cascading 62 + − 41 + − 21 + transitions built on the 02 + state.