Finite-volume energy shift of the three-pion ground state
Fabian Müller, Tiansu Yu, Akaki Rusetsky
Abstract
Using the framework of nonrelativistic effective field theory, the finite-volume ground-state energy shift is calculated up to and including $O({L}^{\ensuremath{-}6})$ 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.
Topics & Concepts
IsospinPionPhysicsGround stateFinite volume methodQuantum electrodynamicsEnergy (signal processing)InverseVolume (thermodynamics)Nuclear physicsAtomic physicsQuantum mechanicsMathematicsGeometryQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesNuclear physics research studies