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Prog. Theor. Phys. Vol. 37 No. 2 (1967) pp. 437-451

[ Full Text PDF : FREE ACCESS (914K) ]

On the Difficulty in the Non-Relativistic Treatment of the Composite Model of Elementary Particles

Masayuki Nagasaki

Department of Physics, Rikkyo University, Tokyo

(Received October 28, 1966)

Abstract:

In order to see the validity of the non-relativistic treatment used in the current works on the composite model of elementary particles, the system of a Dirac particle and an anti-particle bound in the 1 S 0 state through a potential is analyzed. It is shown that the potential strength should tend to infinity when the total energy of the system approaches to zero if their masses are equal or the total energy of the system approaches to the difference between their masses if they are not equal. The type of the interaction is found to be restricted to (V-A) and [(S+P)/2-T] by the conditions for getting physically acceptable solutions. Discussion is given also for some aspect of the composite system of three urbaryons.


URL : http://ptp.ipap.jp/link?PTP/37/437/
DOI : 10.1143/PTP.37.437

[ Full Text PDF : FREE ACCESS (914K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 37 No. 6 (1967) pp. 1337-1338 :
    On the Two-Body Bound Problem of Dirac Particles
    Yoshio Koide and Eiji Yamada
  2. Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 817-829 :
    On the Two-Body Bound State Problem of Dirac Particles
    Yoshio Koide
  3. Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 848-850 :
    Remarks on the Bound State Problem of Dirac Particles in Connection with the Non-Relativistic Quark Model
    Masayuki Nagasaki
  4. Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 854-856 :
    Remarks on “Semirelativistic Quark Model for Mesons”
    Masayui Nagasaki
  5. Progress of Theoretical Physics Vol. 42 No. 3 (1969) pp. 663-675 :
    Effective Hamiltonian of Weak Interaction and Quartet Model
    Mituaki Katuya and Yoshio Koide
  6. Progress of Theoretical Physics Supplement No.54 (1973) pp. 51-72 :
    Angular Distribution of p-p Elastic Scattering at High Energies and Radius of the Hard Core
    Masayuki Nagasaki and Mituo Taketani
  7. Progress of Theoretical Physics Supplement No.54 (1973) pp. 73-92 :
    Excitation of Hadronic Matter and H-quantum
    Masayuki Nagasaki and Mituo Taketani

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