Light sigma-Meson Production in Excited Upsilon Decay Processes I: Analyses

Abstract

We analyze the pi pi production amplitudes in the excited Upsilon decay processes, Upsilon(2S)-->Upsilon(1S)pi+pi-, Upsilon(3S)-->Upsilon(1S)pi+pi- and Upsilon(3S)-->Upsilon(2S)pi+pi-, and the pi pi and KKbar production amplitudes in the charmonium decay processes, psi(2S)-->J psi pi+pi- and J psi-->phi pi+pi-, phi K+K-. The amplitudes are parametrized by the sum of Breit-Wigner amplitudes for the sigma and the other relevant particles and of the direct 2pi-production amplitude, following the VMW method. All the pi pi (and KKbar) invariant mass spectra are reproduced well with the sigma Breit-Wigner amplitude by using the common parameters, m_sigma=526^(+48)_(-37) MeV and Gamma_sigma =301^(+145)_(-100) MeV, which is almost consistent with the values obtained in our previous phase shift analyses. This strongly suggests the existence of light sigma-meson.

proc. of ``Possible Existence of sigma-Meson and Its Implication to Hadron Physics," YITP, Kyoto, June 12--14, 2000. 5 pages, uses ptptex.sty

Cited by in corpus (14)

• QCD Multipole Expansion and Hadronic Transitions in Heavy Quarkonium Systems
• Scalar Resonance Contributions to the Dipion Transition Rates of ${\rm Y}(4S,5S)$ in the re-scattering model
• Peak shifts due to $B^{(\ast )}-{\bar{B}}^{(\ast )}$ rescattering in ${\rm Y}(5S)$ dipion transitions
• Scalar and pseudoscalar meson pole terms in the hadronic light-by-light contributions to $a_{\mu }^{had}$
• Study of Di-Pion Transitions Among Upsilon(3S), Upsilon(2S), and Upsilon(1S) States
• Bottomonium dipion transitions
• Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
• Observation of the Hadronic Transitions Chi_{b 1,2}(2P) -> omega Upsilon(1S)
• Experimental and theoretical evidences for an intermediate $\sigma$-dressed dibaryon in the NN interaction
• Using $X(3823)\to J/\psi {\pi }^{+}{\pi }^{-}$ to identify coupled-channel effects
• $\pi \pi$ Invariant mass spectrum in $V^{\prime }\to V\pi \pi$ and the $f_0(600)$ pole
• A Calculation of the Physical Mass of Sigma Meson
• Analysis of the decays ${\psi }^{\prime }\to J/\psi {\pi }^{+}{\pi }^{-}$ and ${\eta }_c^{\prime }\to {\eta }_c{\pi }^{+}{\pi }^{-}$ with the heavy quark symmetry
• Exotic hadrons associated with $b$-quark