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In a study of the reaction e-e+ -> W-W+ with the DELPHI detector, theprobabilities of the two W particles occurring in the joint polarisation statestransverse-transverse (TT), longitudinal-transverse plustransverse-longitudinal (LT) and longitudinal-longitudinal (LL) have beendetermined using the final states WW -> l nu q qbar (l = e, mu). Thetwo-particle joint polarisation probabilities, i.e. the spin density matrixelements rho_TT, rho_LT, rho_LL, are measured as functions of the W- productionangle, theta_W-, at an average reaction energy of 198.2 GeV. Averaged over allcos(theta_W-), the following joint probabilities are obtained: rho_TT = (67 +/-8)%, rho_LT = (30 +/- 8)%, rho_LL = (3 +/- 7)% . These results are in agreementwith the Standard Model predictions of 63.0%, 28.9% and 8.1%, respectively. Therelated polarisation cross-sections sigma_TT, sigma_LT and sigma_LL are alsopresented.

Correlations between Polarisation States of W Particles in the Reaction e-e+ -> W-W+ at LEP2 Energies 189-209 GeV