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Prog. Theor. Phys. Vol. 51 No. 2 (1974) pp. 528-540

Dip Structure and Crossing Matrix Zero in Vector Meson Productions

Kenzo Inoue, Tetsuji Kawabe and Masayuki Uehara

Department of Physics, Kyushu University, Fukuoka 812

(Received July 13, 1973)

Abstract:

Systematics for dip structure of longitudinally polarized vector meson productions in the helicity frame is discussed using a weakly exchange-degenerate pion and B-meson Regge-pole model with a slope α' = 0.7 GeV^-2. While the pion is assumed to transfer only zero helicity in the t-channel, the B-meson is assumed to transfer both zero and one helicity; the ratio of the zero-helicity coupling to the one-helicity coupling turns out to be consistent with the B-meson decay, B → ωπ. Origin of the dip ρ₀₀^sdσ/dt for a ρ production is attributed to the zero of the crossing matrix. It is shown by the same origin that a pion effective trajectory determined by an energy dependence of ρ₀₀^sdσ/dt has somewhat discontinuous behavior, which is consistent with the result by Estabrooks and Martin. The original pole is masked for ρ₀₀^sdσ/dt by strong absorption for (ρ₁₁^s - ρ_1-1^s)dσ/dt; the slope of the effective trajectory determined by a t-dependence of ρ₀₀^tdσ/dt becomes much steeper than that of the original one.

URL : http://ptp.ipap.jp/link?PTP/51/528/
DOI : 10.1143/PTP.51.528

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1567-1582 :

   Analysis of P_sN →VN Reactions through s-Channel Picture

   Kenzo Inoue, Tetsuji Kawabe and Masayuki Uehara

2. Progress of Theoretical Physics Supplement No.63 (1978) pp. 49-279 :

   Constituent Rearrangement Model and Hadron Reactions

   Yuji Igarashi, Masahiro Imachi, Takeo Matsuoka, Kansuke Ninomiya, Shoichiro Otsuki, Shoji Sawada and Fumihiko Toyoda

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