Three-particle bound states in a finite volume: unequal masses and higher partial waves

Abstract

An explicit expression for the finite-volume energy shift of shallow three-body bound states for non-identical particles is obtained in the unitary limit. The inclusion of the higher partial waves is considered. To this end, the method of arXiv:1412.4969 (Meißner et al.) is generalized for the case of unequal masses and arbitrary angular momenta. It is shown that in the S-wave and in the equal mass limit, the result from arXiv:1412.4969 is reproduced.

17 pages, 1 figure

References in corpus (13)

• A relativistic, model-independent, three-particle quantization condition
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Three-body spectrum in a finite volume: the role of cubic symmetry
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• Numerical study of the relativistic three-body quantization condition in the isotropic approximation
• Efimov physics in a finite volume
• The triton in a finite volume
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Applying the relativistic quantization condition to a three-particle bound state in a periodic box
• An numerical approach for finite volume three-body interaction
• Benchmark calculations for elastic fermion-dimer scattering

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