Three-triton states in9Li

Abstract

We focus on a characteristic non-α cluster structure in light neutron-rich nuclei; three triton structure in 9 Li. This is an analogy to the case of three α state in 12 C (Hoyle state). The α clusters behave as bosons, however tritons have Fermionic nature, and how the three cluster structure is different from 12 C is an intriguing problem. For this purpose, we introduce three triton wave functions. In addition, α+t+n+n wave functions are prepared to describe other low-lying states of 9 Li, and the coupling effect between them is taken into account. The states with dominantly the three triton components appear below the three triton threshold energy, where three triton correlation is important, however the root mean square radius is not enhanced contrary to the α gas states in 12 C and 16 O.

Erratum: Investigation of the3/22−state ofLi9with microscopic structure and

“…[47] by comparing the energy surfaces and structures on the β-γ plane of both nuclei. They found that the cluster features in the 9 Li nucleus are analogous to those in the 10 Be nucleus by replacing one α cluster in the 10 Be nucleus to a t cluster in the 9 Li nucleus. Here we also find the similarity; in Table IV, Finally, we investigate the angular distribution of the inelastic scattering to the 3/2 − 2 state.…”

“…As a result, K mixing effect is large for the second 2 + state, which means a mixing of the triaxial (α + α + di-neutron) components. The similarity between the 9 Li and 10 Be nuclei was discussed in Ref. [47] by comparing the energy surfaces and structures on the β-γ plane of both nuclei.…”

“…The structure of the 9 Li nucleus is described with the microscopic α + t + n + n clus-ter model, where the wave function is fully antisymmetrized. The total wave function is a superposition of Brink-type basis states, and the configuration of each basis state, the positions of two clusters and two valence neutrons, is randomly generated based on the so-called stochastic multi-configuration mixing method [10,12]. This cluster components are analogous to the α + α + n + n model for 10 Be, though t cluster has a spin 1/2 in the 9 Li case.…”

“…The total wave function is a superposition of Brink-type basis states, and the configuration of each basis state, the positions of two clusters and two valence neutrons, is randomly generated based on the so-called stochastic multi-configuration mixing method [10,12]. This cluster components are analogous to the α + α + n + n model for 10 Be, though t cluster has a spin 1/2 in the 9 Li case. Using the wave function, the inelastic cross sections are calculated to investigate the excited and resonance states of the 9 Li nucleus in the framework of the microscopic coupled channel (MCC) method with complex G-matrix interaction CEG07 [13,14].…”

“…In addition, the 9 Li nucleus is described with the α + t + n + n cluster model [9], which also well reproduces the properties of the low-lying states in the comparison with the experimental data. The exotic excited state with three triton clusters has been predicted by the stochastic multi-configuration mixing method with the α + t + n + n and t + t + t configurations [10]. The 6 He + t cluster structure has been also predicted with the Generator Coordinate Method (GCM) calculation [11].…”