TY - JOUR
T1 - Spectral Properties of the 2+1 Fermionic Trimer with Contact Interactions
Y1 - 2017
A1 - Simon Becker
A1 - Alessandro Michelangeli
A1 - Andrea Ottolini
AB - We qualify the main features of the spectrum of the Hamiltonian of point interaction for a three-dimensional quantum system consisting of three point-like particles, two identical fermions, plus a third particle of different species, with two-body interaction of zero range. For arbitrary magnitude of the interaction, and arbitrary value of the mass parameter (the ratio between the mass of the third particle and that of each fermion) above the stability threshold, we identify the essential spectrum, localise and prove the finiteness of the discrete spectrum, qualify the angular symmetry of the eigenfunctions, and prove the monotonicity of the eigenvalues with respect to the mass parameter. We also demonstrate the existence of bound states in a physically relevant regime of masses.
PB - SISSA
UR - http://preprints.sissa.it/handle/1963/35303
N1 - Partially supported by the 2014-2017 MIUR-FIR grant \Cond-Math: Condensed Matter and
Mathematical Physics" code RBFR13WAET (S.B., A.M., A.O.), by the DAAD International
Trainership Programme (S.B.), and by a 2017 visiting research fellowship at the International Center for Mathematical Research CIRM, Trento (A.M.).
U1 - 35609
U2 - Mathematics
U4 - 1
ER -