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Prog. Theor. Phys. Vol. 7 No. 5 (1952) pp. 481-516

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On a Relativistic Integral Equation for Bound States

Chushiro Hayashi and Yasuo Munakata*

Departments of Physics, Naniwa University
*Departments of Physics, Kyoto University

(Received March 31, 1952)

Abstract:

Bound states of two particles are described relativistically by a homogeneous integral equation. Its general properties and reduction to the non-relativistic equation are studied. In the case of scalar particles with scalar photon interaction, if we take the approximation and omit the D(I) part of δ+ function, energy levels are obtained relativistically as explicit functions of the constant. Difficulties which are met in the case of two spinor particles are discussed.


URL : http://ptp.ipap.jp/link?PTP/7/481/
DOI : 10.1143/PTP.7.481

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References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 10 No. 5 (1953) pp. 533-548 :
    Hamiltonian Formalism in Non-local Field Theories
    Chushiro Hayashi
  2. Progress of Theoretical Physics Vol. 11 No. 4 (1954) pp. 505-509 :
    Composite States of Two Fermions through Fermi-type Interaction
    Hiroshi Katsumori
  3. Progress of Theoretical Physics Vol. 13 No. 3 (1955) pp. 305-328 :
    Many-Body Problem in Quantum Field Theory, III
    Kazuhiko Nishijima
  4. Progress of Theoretical Physics Vol. 17 No. 1 (1957) pp. 63-79 :
    On the Bethe-Salpeter Equation and the Excited States of the Hydrogen Atom
    Hideji Kita and Masami Wakano
  5. Progress of Theoretical Physics Vol. 36 No. 6 (1966) pp. 1219-1225 :
    Mass Variation of a Composite Particle versus That of Its Constituent
    Minoru Hirayama
  6. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 182-190 :
    V-P-P Vertex in the Dynamical Composite Model
    Masayuki Kaiba, Kunio Fukushima and Shoichi Hori
  7. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 536-547 :
    Eigenvalues of the Bethe-Salpeter Equation
    Yasuo Munakata
  8. Progress of Theoretical Physics Vol. 87 No. 6 (1992) pp. 1457-1466 :
    Relativistic Bound-State Problem
    Hironari Miyazawa and Katsumi Tanaka
  9. Progress of Theoretical Physics Supplement No.95 (1988) pp. 1-24 :
    Review of the Wick-Cutkosky Model
    Noboru Nakanishi

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