Speaker
Description
It is of interest to determine the mass-ratio, below which there are no bound states, for two-component system of two identical particles interacting with a distinct particle via contact interaction. Using the hyperradial expansion and taking into account that interaction is of zero range, the two-variable inequality was derived, which provides absence of bound states. The variable are mass ratio and the lowest eigenvalue of an auxiliary eigenvalue problem on hyper-sphere. This inequality is analyzed for different sectors of total angular momentum and parity. As a result, desired values of the mass ratio for few lowest angular momenta are obtained. Till now, this problem was considered for the sector of unit total angular momentum and negative parity by analysing momentum-space integral equation [1].
1 S. Becker, A. Michelangeli and A. Ottolini, Math. Phys. Anal. Geom 21, 35 (2018).
| Section | 1. Nuclear structure: theory and experiment |
|---|---|
| The speaker is a student or young scientist | No |
