Models with non-Hermitian Hamiltonian and optical theorem

Valeriy Nazaruk

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arXiv · 1408.3295

Models with non-Hermitian Hamiltonian and optical theorem

Valeriy Nazaruk

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Abstract

The applicability of the optical theorem in the models with the non-Hermitian Hamiltonian is studied. By way of example we consider the $n\bar{n}$ transition in a medium followed by annihilation. It is shown that an application of optical theorem for the non-unitary $S$-matrix leads to the qualitative error in the result. The lower limit on the free-space $n\bar{n}$ oscillation time $\tau $ calculated by means of the model with Hermitian Hamiltonian lies in the range $10^{16}\; {\rm yr}>\tau >1.2\cdot 10^{9}\; {\rm s}$.

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Valeriy Nazaruk. 2014-08-14. Models with non-Hermitian Hamiltonian and optical theorem. https://arxiv.org/abs/1408.3295

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