On Point-Like Interaction of Three Particles: Two Fermions and Another Particle. II

This work continues \cite{bib1} where the construction of Hamiltonian $H$ for the system of three quantum particles is considered. Namely the system consists of two fermions with mass $1$ and another particle with mass $m>0$. In the present paper, like in \cite{bib1}, we study the part $T_{l=1}$ of auxilliary operator $T = \oplus_{l=0}^{\infty} T_l$ involving the construction of the resolvent for the operator $H$. In this work together with the previous one two constants $0 m_0$ the operator $T_{l=1}$ is selfadjoint but for $m \leqslant m_0$ it has the deficiency indexes $(1,1)$; 2) for $m_1 n_0\}$ with the asymptotics \[ \lambda_n = \lambda_0 e^{\delta n} + O(1),\quad n\to\infty, \] where $\lambda_0 0$, $n_0>0$ and there is'nt other spectrum on the interval $\lambda < \lambda_{n_0}$.

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