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Prog. Theor. Phys. Vol. 25 No. 6 (1961) pp. 895-900

The Composite Model of Mesons as a Limit of Meson Theory

Yasusi Ataka

Department of Physics, Kinki University, Osaka

(Received December 7, 1960)

Abstract:

In meson theory with local interactions, the probability amplitudes for bare mesons vanish in the limit of infinite bare coupling constant g→∞ and infinite bare meson mass µ→∞, where g/µ remains finite. Then the probability amplitude for no meson state satisfies the same eigenvalue equation as the composite model with local Fermi interactions, whose coupling constant is G=½g².
The physical meaning of such a procedure and the results thus obtained are discussed.

URL : http://ptp.ipap.jp/link?PTP/25/895/
DOI : 10.1143/PTP.25.895

[ Full Text PDF : FREE ACCESS (262K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. B. Jouvet, Nuovo Cim. 5 (1957), 1.
2. T. D. Lee, Phys. Rev. 95 (1954), 1329[APS].
3. S. Machida, Prog. Theor. Phys. 14 (1955), 407[PTP].
4. J. C. Houard and B. Jouvet, Nuovo Cim. 18 (1961), 466.
5. Y. Ataka, Prog. Theor. Phys. 25 (1961), 369[PTP].
6. Y. Ataka, Prog. Theor. Phys. 22 (1959), 321[PTP].
7. Z. Maki, Prog. Theor. Phys. 16 (1956), 667[PTP].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 27 No. 1 (1962) pp. 211-212 :

   Remarks on the Correspondence between Field Theories with Yukawa and Fermi Interactions

   Yasusi Ataka

2. Progress of Theoretical Physics Vol. 41 No. 4 (1969) pp. 1064-1080 :

   A Diagonalization Method of a Hamiltonian in Second-Quantization. I

   Raoelina Andriambololona

3. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1289-1308 :

   A Diagonalization Method of a Hamiltonian in Second-Quantization. II

   Raoelina Andriambololona

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