TY - GEN

T1 - New description to soft modes in N-alpha cluster states as Bose-Einstein condensation based on quantum field theory with zero mode excitation

AU - Takahashi, J.

AU - Katsuragi, R.

AU - Kazama, Y.

AU - Nakamura, Y.

AU - Yamanaka, Y.

AU - Ohkubo, S.

N1 - Funding Information:
This work is supported by JSPS KAKENHI Grant No. 16K05488. The authors thank the Yukawa Institute for Theoretical Physics, Kyoto University for making possible the present collaborative work. One of the authors (SO) is also grateful to the Research Center for Nuclear Physics, Osaka University for supporting the present work. Part of this work was done during the authors’ stay in YITP in 2018.
Publisher Copyright:
© 2018 Author(s).

PY - 2018/11/13

Y1 - 2018/11/13

N2 - In this paper, we consider the Nα cluster state as Bose-Einstein condensation and calculate the energy level for Nα nuclei from 12C-52Fe. 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.

AB - In this paper, we consider the Nα cluster state as Bose-Einstein condensation and calculate the energy level for Nα nuclei from 12C-52Fe. 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.

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U2 - 10.1063/1.5078843

DO - 10.1063/1.5078843

M3 - Conference contribution

AN - SCOPUS:85057244942

T3 - AIP Conference Proceedings

BT - Proceedings of the 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018

A2 - Folden, Charles M.

A2 - Goldberg, Vladilen Z.

A2 - Rogachev, Grigory V.

A2 - Barbui, Marina

PB - American Institute of Physics Inc.

T2 - 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018

Y2 - 13 May 2018 through 18 May 2018

ER -