Mechanisms of the reaction pi^-p --> a^0_0(980)n --> p-^0 eta n at high energies

Details Mechanisms of the reaction pi^-p --> a^0_0(980)n --> p-^0 eta n at high energies Mechanisms of the reaction pi^-p --> a^0_0(980)n --> p-^0 eta n at high energies

1996-10-18

arxiv.org/abs/hep-ph/9610409v1

Phys.Rev. D56 (1997) 212-220

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Latex, 2 ps figures

Scientific paper

10.1103/PhysRevD.56.212

The main dynamical mechanisms of the reaction $\pi^-p \rightarrow a^0_0 (980)n \rightarrow \pi^0\eta n$ at high energies, currently investigated at Serpukhov and Brookhaven, are considered in detail. It is shown that the observed forward peak in its differential cross section can be explained within the framework of the Regge pole model only by the conspiring $\rho_2$ Regge pole exchange. The tentative estimates of the absolute $\pi^-p \rightarrow a^0_0(980)n \rightarrow \pi^0\eta n$ reaction cross section at $P_{lab}^{\pi^-} = 18$ GeV/c are obtained: $\sigma\approx200$ nb and, in the forward direction, $d\sigma/dt\approx940$ nb/GeV$^2$. The contribution of the one pion exchange, which is forbidden by $G$-parity and which can rise owing to the $f^0_0(980)-a^0_0(980)$ mixing, is also estimate. A role of the Regge cuts in the non-flip helicity amplitude is briefly examined and a conclusion is made that the contributions of the cuts have to be inessential in comparison with the conspiring $\rho_2$ Regge pole exchange.

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