Toward an experimental determination of possible vacuum regeneration for neutral flavoured mesons
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The usual phenomenology of the complex formed by a neutral flavoured meson M0 and its antiparticle \(\bar M^0\) assumes the absence of vacuum regeneration in this complex. We propose experiments for determining the two amplitudes of (possibly non-zero) vacuum regeneration: (i) a comparison of the time dependence of decays of the M0 and \(\bar M^0\) into a channel which could be a CP-eigenstate (e.g., \(\pi^+ \pi^-\) or \(\pi^0 \pi^0 \pi^0\)), or a general channel like \(\pi l \nu \); (ii) a measurement of the ratio of the time-dependent transmutations, \((M^0 \rightarrow \bar M^0)\) and \((\bar M^0 \rightarrow M^0)\); (iii) a measurement of the ratio of the time-dependent probabilities for the production of \(\vert M^0 M^0 \rangle\) and \(\vert \bar M^0 \bar M^0 \rangle\) states, starting with a C-odd correlated \(\vert M^0 \bar M^0\rangle \) state like the \(\phi\)-meson. The proposed experiments are required to be as accurate as those for the known CP-violation effects in the \((M^0,\bar M^0)\) complex.
KeywordsTime Dependence Experimental Determination Correlate State General Channel Vacuum Regeneration
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