Measurement of ? transverse polarization in e+ e- collisions at ?s=3.68-3.71 GeV

With data samples collected with the BESIII detector at seven energy points at root s = 3.68 - 3.71 GeV, corresponding to an integrated luminosity of 333 pb(-1), we present a study of the Lambda transverse polarization in the e(+)e(-)->Lambda Lambda reaction. The significance of polarization by combining the seven energy points is found to be 2.6 sigma including the systematic uncertainty, which implies a non-zero phase between the transition amplitudes of the Lambda(Lambda) over bar helicity states. The modulus ratio and the relative phase of EM-psionic form factors combined with all energy points are measured to be R-Psi = 0.71(-0.10)(+0.10) +/- 0.03 and Delta Phi(Psi) = 23(-8.0)(+8.8) +/- 1.6 degrees, where the first uncertainties are statistical and the second systematic.