Existence problem of proton semi-bubble structure in the 2 1 + state of 34 Si

The fully self-consistent Hartree-Fock (HF) plus random phase approximation (RPA) based on Skyrme-type interaction is used to study the existence problem of proton semi-bubble structure in the \(2_{1}^{+}\) state of 34Si. The experimental excitation energy and the transition strength of the \(2_{1}^{+}\) state in 34Si can be reproduced quite well. The tensor effect is also studied. It is shown that the tensor interaction has a notable impact on the excitation energy of the \(2_{1}^{+}\) state and a small effect on the B(E2) value. Besides, its effect on the density distributions in the ground and \(2_{1}^{+}\) state of 34Si is negligible. Our present results with T36 and T44 show that the \(2_{1}^{+}\) state of 34Si is mainly caused by proton transition from \(\pi 1d_{5/2}\) orbit to \(\pi 2s_{1/2}\) orbit, and the existence of a proton semi-bubble structure in this state is very unlikely.