Neutron-antineutron Oscillations in the Trapping Box

Abstract

We have reexamined the problem of $n-\bar{n}$ oscillations for ultra-cold neutrons (UCN) confined within a trap. We have shown that the growth of the $\bar{n}$ component with time is to a decent accuracy given by $P(\bar{n})={ϵ}_{n\bar{n}}^2{t}_{L}t,$ where ${ϵ}_{n\bar{n}}$ is the mixing parameter, $t_L\sim 1$ sec in the neutron propagation time between subsequent collisions with the trap walls. Possible corrections to this law and open questions are discussed.

Comments: 11 pages, LaTeX2e