English

Evidence for Three-$\alpha$ Breathing Modes Uncovered by Control Neural Network

Nuclear Theory 2024-06-24 v1

Abstract

This work introduces a new Control Neural Network (Ctrl.NN) method to uncover evidence of exotic quantum state, \textit{i.e.}, the breathing modes in 3-α\alpha resonant states of 12^{12}C nucleus. We provide the most precise microscopic description to date for the 12^{12}C energy spectrum, identify two new exotic breathing states, and uncover strong evidence that directly connects the recent experimental observations to the breathing modes. The Ctrl.NN method significantly simplifies numerical calculations of quantum systems under multiple constraints and offers a new perspective for solving the nuclear many-body problem.

Cite

@article{arxiv.2406.15060,
  title  = {Evidence for Three-$\alpha$ Breathing Modes Uncovered by Control Neural Network},
  author = {Zheng Cheng and Mengjiao Lyu and Takayuki Myo and Hisashi Horiuchi and Hiroshi Toki and Zhongzhou Ren and Masahiro Isaka and Mengyun Mao and Hiroki Takemoto and Niu Wan and Wenlong You and Qing Zhao},
  journal= {arXiv preprint arXiv:2406.15060},
  year   = {2024}
}
R2 v1 2026-06-28T17:14:37.067Z