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arXiv · 1704.07117

Lindblad and Bloch equations for conversion of a neutron into an antineutron

B. O. Kerbikov
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Abstract

We propose a new approach based on the Lindblad and Bloch equations for the density matrix to the problem of a neutron into an antineutron conversion. We consider three strategies to search for conversion: experiments with trapped neutrons, oscillations in nuclei, and quasi-free propagation. We draw a distinction between $n\bar{n}$ oscillations in which the probability that a neutron transforms into an antineutron depends on time according to the sine-square law and the non-oscillatory overdamped $n\bar{n}$ conversion. We show that in all three cases decoherence due to the interaction with the environment leads to non-oscillatory evolution.

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B. O. Kerbikov. 2018-04-09. Lindblad and Bloch equations for conversion of a neutron into an antineutron. https://doi.org/10.1016/j.nuclphysa.2018.04.006

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