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Prog. Theor. Phys. Vol. 54 No. 1 (1975) pp. 243-250

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Bethe-Salpeter Amplitudes for Baryons

Shigeru Machida and Hisao Nakkagawa*

Department of Physics, Kyoto University, Kyoto
*Institute of Natural Sciences, Nara University, Nara

(Received December 23, 1974)

Abstract:

General forms of the Bethe-Salpeter amplitudes for a baryon are given in the relativistic quark model. Internal angular variables are defined so as to make mixed representations disappear. Spinor functions are given by γ-matrices parallel or orthogonal to four-momentum of the baryon. These functions are eigenstates of spin and parity, have simple physical meanings and are very convenient for many purposes.


URL : http://ptp.ipap.jp/link?PTP/54/243/
DOI : 10.1143/PTP.54.243

[ Full Text PDF : FREE ACCESS (566K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 510-525 :
    Solutions of the Bethe-Salpeter Equation with Dual Interaction Kernel for Baryons and SU(6)⊗O(3)L Symmetry
    Shigeru Machida and Hisao Nakkagawa
  2. Progress of Theoretical Physics Vol. 87 No. 3 (1992) pp. 703-726 :
    Derivation of the 4-Body Bound-State Equation from the Effective Action
    Ko Okumura
  3. Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428 :
    Novel Use of Legendre Transformation in Field Theory and Many Particle Systems
    Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki