### Abstract

In this paper, we consider the Nα cluster state as Bose-Einstein condensation and calculate the energy level for Nα nuclei from ^{12}C-^{52}Fe. We take the phenomenological model, and use the quantum field theoretical approach for finite system with spontaneous symmetry breaking. In our approach, the order parameter that is the density amplitude of Bose-Einstein condensation is introduced as the vacuum expectation value of the field operator. We non-perturbatively treat the zero mode operators, which accompany the spontaneous symmetry breaking and the order parameter, because their quantum fluctuations are large for finite system. Then the Hamiltonian for the zero mode operators gives a new type of energy levels with 0^{+} for Nα nuclei, which turn out to be robust for condensation rate and number of α clusters.

Original language | English |
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Title of host publication | Proceedings of the 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018 |

Editors | Charles M. Folden, Vladilen Z. Goldberg, Grigory V. Rogachev, Marina Barbui |

Publisher | American Institute of Physics Inc. |

Volume | 2038 |

ISBN (Electronic) | 9780735417649 |

DOIs | |

Publication status | Published - 2018 Nov 13 |

Event | 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018 - Galveston, United States Duration: 2018 May 13 → 2018 May 18 |

### Other

Other | 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018 |
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Country | United States |

City | Galveston |

Period | 18/5/13 → 18/5/18 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Proceedings of the 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018*(Vol. 2038). [020024] American Institute of Physics Inc.. https://doi.org/10.1063/1.5078843