An Extra Vector State at a Lower Mass, Ω(1250) in a Re-Analysis of E+e− Annihilation Data

The combined data of cross section of the process, e(+)e(-) -> pi(+)pi(-)pi(0) obtained by SND and BaBar in the energy region root s from the threshold to 2 GeV are analyzed to study I=0 vector states in the energy region root s between 1 and 2 GeV. Two omega states, omega((1)) and omega((2)) between 1 and 2 GeV and a direct decay amplitude as well as omega and phi are considered to contribute to the process. We carefully searched for the solution not only below 180 degrees of a relative phase between omega and phi amplitudes, theta(phi) but also above 180 degrees. We have obtained solutions for mass and width values of two omega states, one around 1200 MeV with width 700 MeV, and the other around 1600 MeV with width 125 MeV, respectively, in the region of theta(phi) above 180 degrees. The state around 1200 MeV seems to be different from the omega(1420) listed in the PDG tables.