Ab initio calculation of the potential bubble nucleus $^{34}$Si

T. Duguet, V. Somà, S. Lecluse, C. Barbieri, P. Navrátil

Published 2016-11-25Version 1

The possibility that an unconventional depletion in the center of the charge density distribution of certain nuclei occurs due to a purely quantum mechanical effect has attracted theoretical and experimental attention in recent years. We report on ab initio self-consistent Green's function calculations of one of such candidates, Si34, together with its Z+2 neighbour S36. Binding energies, rms radii and density distributions of the two nuclei as well as low-lying spectroscopy of Si35, S37, Al33 and P35 are discussed. The interpretation of one-nucleon removal and addition spectra in terms of the evolution of the underlying shell structure is also provided. The study is repeated using several chiral effective field theory Hamiltonians as a way to test the robustness of the results with respect to input inter-nucleon interactions. The prediction regarding the (non-)existence of the bubble structure in Si34 varies significantly with the nuclear Hamiltonian used. However, demanding that the experimental charge density distribution and the root mean square radius of S36 are well reproduced, along with Si34 and S36 binding energies, only leaves the NNLOsat Hamiltonian as a serious candidate to perform this prediction. In this context, a bubble structure, whose fingerprint should be visible in an electron scattering experiment of Si34, is predicted. Furthermore, a clear correlation is established between the occurrence of the bubble structure and the weakening of the 1/2- 3/2- splitting in the spectrum of Si35 as compared to S37.