Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 31 No. 2 (1964) pp. 235-246

[ Full Text PDF : FREE ACCESS (554K) ]

On Bound States in the Full Symmetry Theory

Mineo Ikeda, Takayoshi Maekawa,* Yoshihiko Miyachi,** Kei Senba*** and Naomi Shohno****

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima-ken
*Department of Physics, Faculty of Science, Kumamoto University, Kumamoto
**Department of Physics, Faculty of Liberal Arts and Science, Shinshu University, Matsumoto
***Department of Physics, Faculty of Science, Hiroshima University, Hiroshima
****Physics Division, Hiroshima Jokakuin College, Hiroshima

(Received October 7, 1963)

Abstract:

The approach which was proposed in a previous paper for treating the problem of bound states, is extended to the case where there are three kinds of basic particles; proton, neutron and Λ-particle. A general form of a four-Fermion interaction is obtained by assuming the full symmetry among the basic particles. Then, the particle-antiparticle two-body system is discussed in the vector coupling which contains a form factor, and the integral equations in the momentum representation are derived. Solutions are obtained in the special case of contact interaction.


URL : http://ptp.ipap.jp/link?PTP/31/235/
DOI : 10.1143/PTP.31.235

[ Full Text PDF : FREE ACCESS (554K) ] Citation:


References:

  1. M. Ikeda, T. Maekawa, Y. Miyachi, K. Senba and N. Shohno, Prog. Theor. Phys. 30 (1963), 343[PTP].
    This paper is referred to as I.
  2. I. Tamm, Jour. Phys. (U.S.S.R.) 9 (1945), 449.
    S. M. Dancoff, Phys. Rev. 78 (1950), 382[APS].
  3. E. Fermi and C. N. Yang, Phys. Rev. 76 (1949), 1739[APS].
  4. S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
  5. S. Ogawa, Prog. Theor. Phys. 21 (1959), 209[PTP].
    M. Ikeda, S. Ogawa and Y. Ohnuki, Prog. Theor. Phys. 22 (1959), 715[PTP]; ibid. 23 (1960), 1073[PTP]; Prog. Theor. Phys. Suppl. No. 19 (1961), 44[PTP].
  6. For instance, G. Racah, Group theory and spectroscopy, lecture notes, Institute for Advanced Study (1951).
  7. S. Sawada and M. Yonezawa, Prog. Theor. Phys. 23 (1960), 683[PTP].
  8. Y. Ohnuki, Z. Maki and H. Yamamoto, Prog. Theor. Phys. Suppl. No. 19 (1961), 89[PTP].
  9. K. Matumoto, S. Sawada, Y. Sumi and M. Yonezawa, Prog. Theor. Phys. Suppl. No. 19 (1961), 66[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1268-1285 :
    On the Constructive Force of the Composite System
    Takayoshi Maekawa