Limits on $\boldmath n {\bar n}$ oscillations from nuclear stability

Details Limits on $\boldmath n {\bar n}$ oscillations from nuclear stability Limits on $\boldmath n {\bar n}$ oscillations from nuclear stability

1999-07-13

arxiv.org/abs/hep-ph/9907334v2

Phys.Rev.C61:028201,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages; this PRC version (accepted for publication, November 4 1999) differs from the original version only by a few minor ed

Scientific paper

10.1103/PhysRevC.61.028201

The relationship between the lower limit on the nuclear stability lifetime as derived from the non disappearance of `stable` nuclei ($T_{d}~\gtrsim~5.4~\times~10^{31}$ yr), and the lower limit thus implied on the oscillation time $(\tau_{n \bar n})$ of a possibly underlying neutron-antineutron oscillation process, is clarified by studying the time evolution of the nuclear decay within a simple model which respects unitarity. The order-of-magnitude result $\tau_{n \bar n} \approx 2 (T_{d}/\Gamma_{\bar n})^{1/2} > 2 \times 10^{8}$ sec, where $\Gamma_{\bar n}$ is a typical $\bar n$ nuclear annihilation width, agrees as expected with the limit on $\tau_{n \bar n}$ established by several detailed nuclear physics calculations, but sharply disagreeing by 15 orders of magnitude with a claim published recently in Phys. Rev. CRAP.

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