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arXiv · 1902.01111

Energy shift of the three-particle system in a finite volume

Jin-Yi Pang·Jia-Jun Wu·H. -W. Hammer·Ulf-G. Meißner·Akaki Rusetsky
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Abstract

Using the three-particle quantization condition recently obtained in the particle-dimer framework, the finite-volume energy shift of the two lowest three-particle scattering states is derived up to and including order $L^{-6}$. Furthermore, assuming that a stable dimer exists in the infinite volume, the shift for the lowest particle-dimer scattering state is obtained up to and including order $L^{-3}$. The result for the lowest three-particle state agrees with the results from the literature, and the result for the lowest particle-dimer state reproduces the one obtained by using the Luescher equation.

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Jin-Yi Pang, Jia-Jun Wu, H. -W. Hammer, Ulf-G. Meißner, Akaki Rusetsky. 2019-02-04. Energy shift of the three-particle system in a finite volume. https://doi.org/10.1103/physrevd.99.074513

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