Effective field theory of Bose-Einstein condensation ofαclusters and Nambu-Goldstone-Higgs states inC12

• DOI: 10.1103/physrevc.94.014314
• Publication Date: 2016-07-19T18:08:30Z
• Authors: Y. Nakamura; J. Takahashi; Y. Yamanaka; S. Ohkubo
• Keywords: Nuclear Theory; 0103 physical sciences; 01 natural sciences

An effective field theory of $\alpha$ cluster condensation is formulated as a spontaneously broken symmetry in quantum field theory to understand the raison d'etre and nature of the Hoyle and $\alpha$ cluster states in $^{12}$C. The Nambu--Goldstone and Higgs mode operators in infinite systems are replaced with a pair of canonical operators whose Hamiltonian gives rise to discrete energy states in addition to the Bogoliubov--de Gennes excited states. The calculations reproduce well the experimental spectrum of the $\alpha$ cluster states. The existence of the Nambu--Goldstone--Higgs states is demonstrated and crucial. The $\gamma$ decay transitions are also obtained.<br/>Comment: 8 pages, 8 figures<br/>