2014/11/17 by Miloslav Svec, Svec, Miloslav
Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #astro-ph.CO #hep-ex #hep-ph
paper · pdf · doi:10.48550/arxiv.1411.4468
44 pages, 13 figures, 3 tables, Revised Subsections IX.C, IX.D and Section X, new Table III, new ref. 86,87,93,94,97, related text modification in the Abstract and Introduction
arxiv created 2014/12/12 · arxiv updated 2014/12/15
We present the first amplitude analysis of the CERN data on pi(-)p->pi(-)pi(+)n on polarized target at 17.2 GeV/c for dipion masses 580-1080 MeV at low momentum transfer using spin mixing mechanism. The analysis of the S- and P-wave subsystem determines a unique solution for the spin mixing transversity amplitudes Stau, Ltau, the corresponding S-matrix amplitudes S0tau, L0tau and the rho0(770)-f0(980) spin mixing parameters. The spin mixing mechanism allows to extract D-wave observables from the CERN data. Analysis of the full D-wave subsystem for transversity tau=u reveals rho0(770) mixing in the amplitudes |DUu|2 and |DNu|2 and a violation of a cosine condition by the amplitudes D2Uu and D2Nu. We determine spin mixing and S-matrix helicity amplitudes from which we calculate pipi phase-shifts delta0S and deltaP below KKbar threshold. The spin mixing and the violation of the cosine condition arise from a non-standard pure dephasing interaction of the produced final S-matrix state rhof(S) with a quantum state rho(E) of a quantum environment to produce the observed state rhof(O). Our analysis determines that the number of interacting degrees of freedom of the environment is M=4. We identify the four eigenstates |ek> that define the density matrix rho(E) with the four neutrino mass eigenstates |mk> with m4 due to light sterile neutrino. We call the quantum states rho(E) dark neutrinos and propose to identify them with the particles of a distinct component of dark matter. Dephasing interactions are not rare events but they require high statistics experiments with polarized targets for their detection. Our amplitude analysis illustrates this new kind of search for dark matter.