Abstract
In this paper we are concerned with a three-body system with point interaction, which is called the Ter-Martirosian–Skornyakov extension. We locate the bottom of the essential spectrum of that system and establish the finiteness of the discrete spectrum below the bottom. Our work here refines the result of [MINLOS, R. A.: On point-like interaction between n fermions and another particle, Mosc. Math. J. 11 (2011), 113–127], where the semi-boundedness of the operator is obtained.
Acknowledgement
Thanks to the anonymous referees for valuable suggestions and corrections.
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