No-core Monte Carlo shell model calculations for light nuclei

The low-lying spectra of light nuclei from ⁷Li to ¹⁰B are investigated systematically in the framework of no-core Monte Carlo Shell Model (MCSM) using realistic nuclear forces. The convergence of the calculation results is discussed with the size of the MCSM model space from two major shells (e_max = 1) to five major shells (e_max = 4). It is found that the model space with four major shells (e_max = 3) is reliable in describing most properties of the low-lying spectra of light nuclei within the MCSM dimension less than 10². The excitation energies and electromagnetic properties of low-lying spectra for light nuclei have been studied. The E2 transition probability of ¹⁰C, the mirror nucleus of ¹⁰Be, is also presented with a good agreement to experiment. The triaxial deformation of 1⁰Be and ¹⁰C is discussed in terms of the B(E2) values. (author)