Hypernuclear cluster states of ${}_{\Lambda }^{12}\mathrm{B}$ Unveiled through Neural Network-Driven Microscopic Calculation

Abstract

We investigate the hypernuclear cluster states of ${}_{\Lambda }^{12}\mathrm{B}$ using a neural-network-driven microscopic model. We extend the Control Neural Networks (Ctrl.NN) method and systematically calculate the positive-parity spectrum of ${}_{\Lambda }^{12}\mathrm{B}$. By incorporating $sd$-shell excitations and parity-coupling effects into the ${}_{\Lambda }^{12}\mathrm{B}$ hypernuclear system, we reveal structural changes, including clustering effects and new configurations such as isosceles-triangle and $\alpha$-$t$-$\alpha$ linear-chain structures. Furthermore, by comparing with experimental data, we identify that many peaks ($\#$6 and $\#$8) can be interpreted as $p_{\Lambda }$ dominant states, which is consistent with shell-model predictions. Notably, based on our analysis of the excited states of ${}_{\Lambda }^{12}\mathrm{B}$, we propose possible candidates for previously unexplained or controversial experimental peaks.

Comments: 8 pages, 3 figures, 1 table