Study of sigma(750) and rho0(770) production in measurements of piN(polarized) -> pi(+)pi(-)n on a polarized target at 5.98,11.85 and 17.2 GeV/c

Abstract

We present a new and improved model independent amplitude analysis of reactions ${\pi }^{+}{n}_{\uparrow }\to {\pi }^{+}{\pi }^{-}p$ at 5.98 and 11.85 GeV/c and ${\pi }^{-}{p}_{\uparrow }\to {\pi }^{-}{\pi }^{+}n$ at 17.2 GeV/c measured with transversely polarized targets at the CERN Proton Synchrotron. A clear signal for $\sigma (750)$ resonance emerges in all four solutions for $S$-wave intensity $I_S$ at 5.98 and 11.85 GeV/c and in both solutions for $S$-wave amplitude $|\overline{S}{|}^2\Sigma$ at 17.2 GeV/c. Its ${\pi }^{+}{\pi }^{-}$ decay width is estimated to be in the range 200--300 MeV. We find significant suppression of ${\rho }^0$ production in the amplitudes $|U{|}^2\Sigma$, $|\overline{N}{|}^2\Sigma$ and, at 17.2 GeV/c, in $|L{|}^2\Sigma$. The mass dependence of amplitudes $|\overline{L}{|}^2\Sigma$ and $|L{|}^2\Sigma$ shows unexpected structures within the ${\rho }^0$ mass region which correlate the mass spectra corresponding to opposite nucleon spins. These features of $P$-wave moduli reveal the essential role of nucleon spin in pion production process and contradict the factorization hypothesis. Our results emphasize the need for a systematic study of pion production on the level of amplitudes in a new generation of dedicated experiments with spin at the recently proposed high-intensity hadron facilities.

arXiv comment73 pages

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