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Prog. Theor. Phys. Vol. 47 No. 6 (1972) pp. 2044-2054

The Electromagnetic Form Factors Based on the Theory of Meromorphic Functions

Masanori Kobayashi

Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received December 28, 1971)

Abstract:

The electromagnetic form factors (EMFF) are investigated by taking into account an infinite set of vector mesons which appear on the daughter trajectories. A general form of EMFF follows from the Hadamard theorem on a meromorphic function of order ρ.
The Veneziano type EMFF is a meromorphic function of order one. We show that physically acceptable orders are either ½ ≤ρ≤1 or ρ= 0. Asymptotic n-power (n: integer) behaviour is possible only if ρ= 0.

URL : http://ptp.ipap.jp/link?PTP/47/2044/
DOI : 10.1143/PTP.47.2044

[ Full Text PDF : FREE ACCESS (550K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. M. Kobayashi and M. Yonezawa, Soryushiron Kenkyu (mimeographed circular in Japanese) 38 (1969), 595.
   M. Kobayashi, Prog. Theor. Phys. 42 (1969), 1319[PTP].
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 48 No. 1 (1972) pp. 267-271 :

   Possible Behaviour of Regge Trajectories in Veneziano-Like Representations

   Masanori Kobayashi

2. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 926-933 :

   Generalized Vector-Meson Dominance and High Energy Electron-Proton Inelastic Scattering

   Masanori Kobayashi

3. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 275-289 :

   An Analytic Continuation of Propagators in a Particle-Exchange Model

   Masanori Kobayashi and Yukio Mori

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