2alpha+t cluster feature of $3/2^-_3$ state in $^{11}$B

TL;DR

This study investigates the $2 ext{alpha}+t$ cluster structure in the $^{11}$B nucleus's $3/2^-_3$ state, revealing a gas-like distribution of the triton cluster around the alpha clusters using antisymmetrized molecular dynamics.

Contribution

It introduces the concept of a $2 ext{alpha}+t$ cluster gas state in $^{11}$B and compares it with the $3 ext{alpha}$ cluster state in $^{12}$C, providing new insights into cluster dynamics.

Findings

The $t$ cluster exhibits wide, free motion around $2 ext{alpha}$ core.

The $3/2^-_3$ state shows weak angular correlation and large radial extent.

Comparison reveals similarities and differences between $^{11}$B and $^{12}$C cluster states.

Abstract

We reanalyze $2\alpha+t$ cluster features of $3/2^-$ states in $^{11}$B by investigating the $t$ cluster distribution around a $2\alpha$ core in $^{11}$B, calculated with the method of antisymmetrized molecular dynamics (AMD). In the $3/2^-_3$ state, a $t$ cluster is distributed in a wide region around $2\alpha$, indicating that the $t$ cluster moves rather freely in angular as well as radial motion. From the weak angular correlation and radial extent of the $t$ cluster distribution, we propose an interpretation of a $2\alpha+t$ cluster gas for the $3/2^-_3$ state. In this study, we compare the $2\alpha+t$ cluster feature in $^{11}$B($3/2^-_3$) with the $3\alpha$ cluster feature in $^{12}$C($0^+_2$), and discuss their similarities and differences.