2$\alpha$+$t$ cluster structure in $^{11}$B

TL;DR

This paper investigates the 2α+t cluster structure in $^{11}$B using the microscopic GCM, revealing several developed cluster states, including a linear-chain-like structure, and comparing results with previous models.

Contribution

The study provides a detailed microscopic analysis of cluster states in $^{11}$B, identifying new candidate states and clarifying their structures compared to prior models.

Findings

Identification of well-developed negative-parity cluster states.

Discovery of a linear-chain-like positive-parity state.

Many cluster candidates exhibit significant isoscalar dipole strengths.

Abstract

The 2$\alpha+t$ cluster structure in $^{11}$B is investigated by the microscopic generator coordinate method (GCM) with the Brink cluster wave functions. With a proper choice of the parameters of the effective interaction, the calculated energy spectrum shows reasonable agreement with the observed low-lying spectra of both parities. On the basis of the calculated radii, monopole and $B(E2)$ transition strengths, several developed cluster states of $^{11}$B are suggested. For the negative-parity states, in addition to the well-known $3/2_3^-$ cluster state, the $1/2_2^-$ and $5/2_3^-$ states are also proposed as the well-developed cluster states. For the positive-parity states, it is found that many states around the 2$\alpha+t$ threshold show the feature of developed clusters. In particular, the $1/2_2^+$ state is found to have a linear-chain-like structure, which is consistent with the previous antisymmetrized molecular dynamics calculation, but contradicts to the orthogonality condition model calculation. It is also found that many of these positive-parity cluster candidates have the non-negligible isoscalar dipole transition strengths, which require the experimental confirmation.