Effective field theory of Bose-Einstein condensation of $\ensuremath{\alpha}$ clusters and Nambu-Goldstone-Higgs states in $^{12}\mathrm{C}$

Effective field theory of Bose-Einstein condensation of $α$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}C$

Y. Nakamura, J. Takahashi, Y. Yamanaka, and S. Ohkubo

Phys. Rev. C 94, 014314 – Published 19 July 2016; Erratum Phys. Rev. C 98, 049901 (2018)

Abstract

An effective field theory of $α$ -cluster condensation is formulated as a spontaneously broken symmetry in quantum field theory to understand the raison d'être and the nature of the Hoyle and $α$ -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 $α$ -cluster states. The existence of the Nambu-Goldstone-Higgs states is demonstrated and crucial. The $γ$ -decay transitions are also obtained.

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Received 24 November 2014
Revised 22 May 2016

DOI:https://doi.org/10.1103/PhysRevC.94.014314

Physics Subject Headings (PhySH)

Collective levels Nuclear structure & decays

Bose-Einstein condensates

6 ≤ A ≤ 19

Cluster models

Nuclear Physics

Erratum

Erratum: Effective field theory of Bose-Einstein condensation of $α$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}C$ [Phys. Rev. C 94, 014314 (2016)]

Y. Nakamura, J. Takahashi, Y. Yamanaka, and S. Ohkubo

Phys. Rev. C 98, 049901 (2018)

Authors & Affiliations

Y. Nakamura^1,2,*, J. Takahashi^1,3,†, Y. Yamanaka^1,‡, and S. Ohkubo^4,5,§

¹Department of Electronic and Physical Systems, Waseda University, Tokyo 169-8555, Japan
²Nagano Prefectural Kiso Seiho High School, Nagano 397-8571, Japan
³iCAD Limited, Tokyo 105-0012, Japan
⁴Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
⁵University of Kochi, Kochi 780-8515, Japan

^*yusuke.n@asagi.waseda.jp
^†j.takahashi@aoni.waseda.jp
^‡yamanaka@waseda.jp
^§shigeo.ohkubo@rcnp.osaka-u.ac.jp

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Vol. 94, Iss. 1 — July 2016

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Physical Review C

covering nuclear physics

Effective field theory of Bose-Einstein condensation of $α$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}C$

Y. Nakamura, J. Takahashi, Y. Yamanaka, and S. Ohkubo

Phys. Rev. C 94, 014314 – Published 19 July 2016; Erratum Phys. Rev. C 98, 049901 (2018)

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Effective field theory of Bose-Einstein condensation of $α$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}C$ [Phys. Rev. C 94, 014314 (2016)]

Y. Nakamura, J. Takahashi, Y. Yamanaka, and S. Ohkubo

Phys. Rev. C 98, 049901 (2018)

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review C

covering nuclear physics

Effective field theory of Bose-Einstein condensation of α clusters and Nambu-Goldstone-Higgs states in C12

Y. Nakamura, J. Takahashi, Y. Yamanaka, and S. Ohkubo

Phys. Rev. C 94, 014314 – Published 19 July 2016; Erratum Phys. Rev. C 98, 049901 (2018)

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Effective field theory of Bose-Einstein condensation of α clusters and Nambu-Goldstone-Higgs states in C12 [Phys. Rev. C 94, 014314 (2016)]

Y. Nakamura, J. Takahashi, Y. Yamanaka, and S. Ohkubo

Phys. Rev. C 98, 049901 (2018)

Authors & Affiliations

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Effective field theory of Bose-Einstein condensation of $α$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}C$

Erratum: Effective field theory of Bose-Einstein condensation of $α$ clusters and Nambu-Goldstone-Higgs states in ${}^{12}C$ [Phys. Rev. C 94, 014314 (2016)]