Abstract
The case when a fermion occupies an excited nonzero frequency level in the field of domain wall is discussed. It is demonstrated that a solution exists for the coupling constant in the limited interval 1 < g < g max ≈ 1.65. It is shown that indeed there are different branches of stable solution for g in this interval. The first one corresponds to a fermion located on the domain wall (\(1 < g < \sqrt[4]{{2\pi }}\)). The second branch, which belongs to the interval \(\sqrt[4]{{2\pi }} \leqslant g \leqslant g_{\max }\), describes a polarized fermion off the domain wall. The third branch with 1 < g < g max describes an excited antifermion in the field of the domain wall.
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Gani, V.A., Ksenzov, V.G. & Kudryavtsev, A.E. Stable branches of a solution for a fermion on domain wall. Phys. Atom. Nuclei 74, 771–777 (2011). https://doi.org/10.1134/S1063778811050085
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DOI: https://doi.org/10.1134/S1063778811050085