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Remarks on the compositeness conditions for particles with identical quantum numbers

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Il Nuovo Cimento A (1965-1970)

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  1. K. Hayashi, M. Hirayama, T. Muta, N. Seto andT. Shirafuji: Kyoto University preprint KUNS-82 (1967) (to be published inFortsch. d. Phys.). It is a pity that this review article repeats the same content as ref. (1) for the two-particle case without making a serious re-examination.

  2. K. Kang:Phys. Rev.,152, 1234 (1966).

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  3. K. Kang:Nuovo Cimento (in press) (1967). Further works done in this area can be found in ref. (2–4).K. Hayashi, M. Hirayama, T. Muta, N. Seto andT. Shirafuji: Kyoto University preprint KUNS-82 (1967) (to be published inFortsch. d. Phys.). It is a pity that this review article repeats the same content as ref. (1) for the two-particle case without making a serious re-examination.K. Kang:Phys. Rev.,152, 1234 (1966).K. Kang:Nuovo Cimento (in press) (1967).

  4. The conclusions reached in ref. (3). ref. (4)K. Kang:Nuovo Cimento (in press) (1967). Further works done in this area can be found in ref. (2–4) can be summarized as follows; the situation in which one of the two particles with identical quantum numbers is elementary and the other one is composite as defined in the framework of theN/D method is equivalent to the state of two elementary particles with eq. (1) in a full field theory. It is also noted that eq. (1) is symmetric with respect to particles 1 and 2, thus the elementary pole is undistinguishable from the composite pole.

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  5. A(s) is related to the scattering amplitudeT(s) byT(s)=n(s)/d(s)+A(s)/d2(s), where the first (second) term is the one-particle irreducible (reducible) part. Detailed discussions on the decomposition are given in ref. (3)..

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Supported in part by the U. S. Atomic Energy Commission (Report No. NYO-2262TA-159).

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Kang, K. Remarks on the compositeness conditions for particles with identical quantum numbers. Nuovo Cimento A (1965-1970) 51, 205–207 (1967). https://doi.org/10.1007/BF02739996

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