Prog. Theor. Phys. Vol. 121 No. 6 (2009) pp. 1237-1287

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Many-Quark Model with su(4) Algebraic Structure

— An Example of Analytically Soluble Many-Fermion System —

Yasuhiko Tsue,¹ Constança Providência,² João da Providência² and Masatoshi Yamamura³

¹Physics Division, Faculty of Science, Kochi University, Kochi 780-8520, Japan
²Departamento de Física, Universidade de Coimbra, 3004-516 Coimbra, Portugal
³Department of Pure and Applied Physics, Faculty of Engineering Science,
Kansai University, Suita 564-8680, Japan

(Received February 6, 2009)

Abstract:

With the use of a certain type of the Schwinger boson representation of the su(4) algebra, the Bonn model for many-quark systems and an extension of the model, in which the energies of the various exact states are controled, namely, the energies are enhanced or de-enhanced, are investigated. In the boson space spanned by the use of the boson realization, the exact eigenstates and the exact energy eigenvalues are constructed. Thus, all the results in this Bonn model and its extension are analytically expressed in the exact forms. Especially, the quark-triplet formation and the pairing correlation in many-quark states are widely discussed in the boson realization.

Subject Index : 233
URL : http://ptp.ipap.jp/link?PTP/121/1237/
DOI : 10.1143/PTP.121.1237

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Citing Article(s) :

Progress of Theoretical Physics Vol. 122 No. 3 (2009) pp. 693-711 :
Note on Many-Quark Model with su(4) Algebraic Structure

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 122 No. 4 (2009) pp. 911-926 :
On the Exact Eigenstates and the Ground States Based on the Boson Realization for Many-Quark Model with su(4) Algebraic Structure

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 126 No. 1 (2011) pp. 115-134 :
On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. I

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 126 No. 2 (2011) pp. 293-311 :
On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. II

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 126 No. 2 (2011) pp. 313-330 :
On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. III

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 127 No. 4 (2012) pp. 751-768 :
Re-Formation of Many-Quark Model with the su(4)-Algebraic Structure in the Schwinger Boson Realization

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura