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We present the first amplitude analysis of the CERN data onpi(-)p->pi(-)pi(+)n on polarized target at 17.2 GeV/c for dipion masses580-1080 MeV at low momentum transfer using spin mixing mechanism. The analysisof the S- and P-wave subsystem determines a unique solution for the spin mixingtransversity amplitudes S_tau, L_tau, the corresponding S-matrix amplitudesS^0_tau, L^0_tau and the rho^0(770)-f_0(980) spin mixing parameters. The spinmixing mechanism allows to extract D-wave observables from the CERN data.Analysis of the full D-wave subsystem for transversity tau=u reveals rho^0(770)mixing in the amplitudes |D^U_u|^2 and |D^N_u|^2 and a violation of a cosinecondition by the amplitudes D^2U_u and D^2N_u. We determine spin mixing andS-matrix helicity amplitudes from which we calculate pipi phase-shiftsdelta^0_S and delta_P below KKbar threshold. The spin mixing and the violationof the cosine condition arise from a non-standard pure dephasing interaction ofthe produced final S-matrix state rho_f(S) with a quantum state rho(E) of aquantum environment to produce the observed state rho_f(O). Our analysisdetermines that the number of interacting degrees of freedom of the environmentis M=4. We identify the four eigenstates |e_k> that define the density matrixrho(E) with the four neutrino mass eigenstates |m_k> with m_4 due to lightsterile neutrino. We call the quantum states rho(E) dark neutrinos and proposeto identify them with the particles of a distinct component of dark matter.Dephasing interactions are not rare events but they require high statisticsexperiments with polarized targets for their detection. Our amplitude analysisillustrates this new kind of search for dark matter.

Spin mixing mechanism in amplitude analysis of pi(-)p->pi(-)pi(+)n and a new view of dark matter