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Prog. Theor. Phys. Vol. 28 No. 2 (1962) pp. 233-250
Many-Body Theoretical Approach to the Fire-Ball Model in Multiple Production of Particles
Osamu Kamei*,
Tetsuro Kobayashi** and
Mikio Namiki**, ***
*Department of Physics, Ochanomizu University, Tokyo
**Science and Engineering Research Laboratory, Waseda University, Tokyo
and
***Department of Applied Physics, Waseda University, Tokyo
(Received February 2, 1962)
Abstract:
The “fire-ball” observed in the multiple production of particles is interpreted and analysed in terms of a correlated assembly of produced particles like a superfluid. It is shown that the momentum spectrum of produced mesons is proportional to the form of dk/k2, by assuming λφ4 for the meson-meson interaction Hamiltonian in the final state. A possibility of the many fire-balls is briefly discussed. Before going into these discussions a possible reduction of the S-matrix elements or the cross section of the overall process is presented, where its final-state interaction part may be separated from the high energy interaction part in a short collision time.
URL :
http://ptp.ipap.jp/link?PTP/28/233/
DOI : 10.1143/PTP.28.233
References:
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- K. Niu, Utyusen Kenkyu (mimeographed circular in Japanese for cosmic-ray studies) 3 (1958), 85; Nuovo Cim. 10 (1958), 994.
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-
F. Salzman and G. Salzman, Phys. Rev. 121 (1961), 1541[APS].
D. S. Chernavsky et al., JETP 40 (1961), 1093; ibid. 40 (1961), 1333.
Based upon the two-center model the structure of S-matrix element for the multiple production has been phenomenologically discussed by
D. Ito et al., Nuovo Cim. 20 (1961), 878.
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M. Gell-Mann and M. L. Goldberger, Phys. Rev. 91 (1953), 489[APS].
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For the discussion of superfluidity, see Beliaev's article in The Many Body Problem edited by C. Dewitt (John Wiley and Sons, Inc., New York, 1958).
- N. N. Bogoliubov, D. N. Zubarev and Ju. A. Cerkovnikov, Doklady Akad. Nauk USSR, 117 (1958), 788.
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