Resonances of A=4 T=1 isospin triplet states within the ab initio no-core Gamow shell model
Abstract
The A=4 nuclei, i.e., 4H, 4He and 4Li, establish an interesting isospin T=1 isobaric system. 4H and 4Li are unbound broad resonances, whereas 4He is deeply bound in its ground state but unbound in all its excited states. The present situation is that experiments so far have not given consistent data on the resonances. Few-body calculations have well studied the scatterings of the 4N systems. In the present work, we provide many-body calculations of the broad resonance structures, in an ab initio framework with modern realistic interactions. It occurs that, indeed, 4H, 4Li and excited 4He are broad resonances, which is in accordance with experimental observations. The calculations also show that the first 1- excited state almost degenerates with the 2- ground state in the pair of mirror isobars of 4H and 4Li, which may suggest that the experimental data on energy and width are the mixture of the ground state and the first excited state. The T = 1 isospin triplet formed with an excited state of 4He and ground states of 4H and 4Li is studied, focusing on the effect of isospin symmetry breaking.
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