TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.4.108
TI  - General features and contact modeling of $N$-body isolated resonances near threshold
PY  - 2024/10/08
UR  - https://scipost.org/SciPostPhys.17.4.108
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 4
SP  - 108
A1  - Pricoupenko, Ludovic
AB  - $N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the effective range approximation. This two-parameter description can be used in various contexts from ultracold to hadronic physics. The universal character of these states makes it possible a formulation in terms of a contact model. The singularity at the contact imposes the introduction of a modified scalar product to solve the normalization catastrophe and to restore the self-adjoint character of the model. An equivalence with the standard scalar product used for realistic finite range models is derived.
ER  -

@Article{10.21468/SciPostPhys.17.4.108,
	title={{General features and contact modeling of $N$-body isolated resonances near threshold}},
	author={Ludovic Pricoupenko},
	journal={SciPost Phys.},
	volume={17},
	pages={108},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.4.108},
	url={https://scipost.org/10.21468/SciPostPhys.17.4.108},
}