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

Junichi Takahashi; R. Katsuragi; Y. Kazama; Y. Nakamura; Yoshiya Yamanaka; S. Ohkubo

doi:10.1063/1.5078843

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

Junichi Takahashi, R. Katsuragi, Y. Kazama, Y. Nakamura, Yoshiya Yamanaka, S. Ohkubo

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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.

Original language	English
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	https://doi.org/10.1063/1.5078843
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
Country	United States
City	Galveston
Period	18/5/13 → 18/5/18

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1063/1.5078843

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Takahashi, J., Katsuragi, R., Kazama, Y., Nakamura, Y., Yamanaka, Y., & Ohkubo, S. (2018). New description to soft modes in N-alpha cluster states as Bose-Einstein condensation based on quantum field theory with zero mode excitation. In C. M. Folden, V. Z. Goldberg, G. V. Rogachev, & M. Barbui (Eds.), 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

New description to soft modes in N-alpha cluster states as Bose-Einstein condensation based on quantum field theory with zero mode excitation. / Takahashi, Junichi; Katsuragi, R.; Kazama, Y.; Nakamura, Y.; Yamanaka, Yoshiya; Ohkubo, S.

Proceedings of the 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018. ed. / Charles M. Folden; Vladilen Z. Goldberg; Grigory V. Rogachev; Marina Barbui. Vol. 2038 American Institute of Physics Inc., 2018. 020024.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takahashi, J, Katsuragi, R, Kazama, Y, Nakamura, Y, Yamanaka, Y & Ohkubo, S 2018, New description to soft modes in N-alpha cluster states as Bose-Einstein condensation based on quantum field theory with zero mode excitation. in CM Folden, VZ Goldberg, GV Rogachev & M Barbui (eds), 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., 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018, Galveston, United States, 18/5/13. https://doi.org/10.1063/1.5078843

Takahashi J, Katsuragi R, Kazama Y, Nakamura Y, Yamanaka Y, Ohkubo S. New description to soft modes in N-alpha cluster states as Bose-Einstein condensation based on quantum field theory with zero mode excitation. In Folden CM, Goldberg VZ, Rogachev GV, Barbui M, editors, Proceedings of the 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018. Vol. 2038. American Institute of Physics Inc. 2018. 020024 https://doi.org/10.1063/1.5078843

Takahashi, Junichi ; Katsuragi, R. ; Kazama, Y. ; Nakamura, Y. ; Yamanaka, Yoshiya ; Ohkubo, S. / New description to soft modes in N-alpha cluster states as Bose-Einstein condensation based on quantum field theory with zero mode excitation. Proceedings of the 4th International Workshop on State of the Art in Nuclear Cluster Physics, SOTANCP 2018. editor / Charles M. Folden ; Vladilen Z. Goldberg ; Grigory V. Rogachev ; Marina Barbui. Vol. 2038 American Institute of Physics Inc., 2018.

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abstract = "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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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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