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Prog. Theor. Phys. Vol. 47 No. 5 (1972) pp. 1601-1609
Helicity Conservation in πN →A1N Scattering
Minoru Biyajima
Department of Physics, Tokyo University of Education, Tokyo
(Received June 25, 1971)
Abstract:
We study the s- and t-channel helicity conservation hypotheses in
πN →A1N reaction. It is shown that the main properties of
density matrices for this reaction can be explained well by using the
t-channel helicity conservation hypothesis and the hypothesis of the
Pomeron dominance. Requiring the factorization theorem for s-channel
helicity conservation in the nucleon vertex, we obtain the following
scattering amplitude:
TπN →A1N = (e ·qπ)Kµuγµu .
However, this amplitude does not mean the s-channel helicity conservation.
URL :
http://ptp.ipap.jp/link?PTP/47/1601/
DOI : 10.1143/PTP.47.1601
References:
-
H. H. Bingham et al., Phys. Rev. Lett. 24 (1970), 955[APS].
J. Ball et al., Phys. Rev. Lett. 24 (1970), 960[APS].
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F. G. Gilman, J. Pumplin, A. Schwimmer and L. Stodolsky, Phys. Lett. B 31 (1970), 387[CrossRef]; many published literatures and preprints.
M. Biyajima, Prog. Theor. Phys. 45 (1971), 1552[PTP].
- M. Biyajima, Prog. Theor. Phys. 47 (1972), 1047[PTP]; ibid. 47 (1972), 1049[PTP].
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Aachen-Berlin-Bonn-CERN-Cracow-Heidelberg-London-Vienna Collaboration, Phys. Lett. B 34 (1971), 160[CrossRef];
G. Ascoli et al., Phys. Rev. Lett. 26 (1971), 929[APS].
- R. Silver, CALT Preprint.
- Y. Hara, TUEP-71-17.
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H. F. Jones and A. Salam, Phys. Lett. B 34 (1971), 149[CrossRef].
- M. Biyajima, M. Kenmoku and T. Minamikawa, Prog. Theor. Phys. 47 (1972), 1418[PTP].
The u(12) denotes the relativistic quark wave function.
