Stable branches of a solution for a fermion on domain wallстатья
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Аннотация: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 $1<g<g_{max}\approx 1.65$. 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 ($1<g<\sqrt[4]{2}$). The second branch, which belongs to the interval($\sqrt[4]{2}\le g\le g_{max}$),describes an excited antifermion in the field of the domain wall.The third branch with $1<g<g_{max}$ describes an excited antifermion in the field of the domain wall.