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arXiv · 2011.14178

Finite-volume energy shift of the three-pion ground state

Fabian Müller·Akaki Rusetsky·Tiansu Yu
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Abstract

Using the framework of non-relativistic effective field theory, the finite-volume ground-state energy shift is calculated up-to-and-including $O(L^{-6})$ for the system of three pions in the channel with the total isospin $I=1$. The relativistic corrections are included perturbatively, up to the same order in the inverse of the box size $L$. The obtained explicit expression, together with the known result for the system with maximal isospin $I=3$, can be used for the extraction of two independent effective three-body couplings from the measured ground-state spectrum of three pions.

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Fabian Müller, Akaki Rusetsky, Tiansu Yu. 2020-11-28. Finite-volume energy shift of the three-pion ground state. https://doi.org/10.1103/physrevd.103.054506

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