Monopole transition strength function of 12C in three-α model
Abstract
The energy level structure of 12C nucleus at a few MeV above the three-α threshold is still unsatisfactory known. For instance, most microscopic calculations predicted that there exist one 0+-state in this energy region besides the well known Hoyle state, while some experimental and theoretical studies show the existing of two 0+-states. In this paper, I will take a three-α-boson (3α) model for bound and continuum states in 12C, and study a transition process from the 12C(01+) ground state to 3α 0+ continuum states by the electric monopole (E0) operator. The strength distribution of the process will be calculated as a function of 3α energy using the Faddeev three-body theory. The Hamiltonian for the 3α system consists of two- and three-α potentials, and some three-α potentials with different range parameters will be examined. Results of the strength function show a double-peaked bump at low energy region, which can be considered as two 0+-states. The peak at higher energy may originate from a 3α resonant state. However, it is unlikely that the peak at the lower energy is related to a resonant state, which suggests that it may be due to so called "ghost anomaly". Distributions of decaying particles are also calculated.
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