Abstract
Using non-relativistic effective Lagrangians in the particle-dimer picture, we rederive the expression for the energy shift of a loosely bound three-particle bound state of identical bosons in the unitary limit. The effective field theory formalism allows us to explicitly investigate the role of the three-particle force. Moreover, we discuss relaxing the unitary limit of infinite scattering length and demonstrate a smooth transition from the weakly bound three-particle state to a two-particle bound state of a particle and a deeply bound dimer.
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Hammer, HW., Pang, JY. & Rusetsky, A. Three-particle quantization condition in a finite volume: 1. The role of the three-particle force. J. High Energ. Phys. 2017, 109 (2017). https://doi.org/10.1007/JHEP09(2017)109
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DOI: https://doi.org/10.1007/JHEP09(2017)109