Abstract
The dynamics of multi-kaon systems are of relevance for several areas of nuclear physics. However, even the simplest systems, two and three kaons, are hard to prepare and study experimentally. Here we show how to extract this information using first-principle lattice QCD results. We (1) extend the relativistic three-body quantization condition to the strangeness sector, predicting for the first time the excited level finite-volume spectrum of three kaon systems at maximal isospin, and (2) present a first lattice QCD calculation of the excited levels of this system in a finite box. We compare our predictions with the lattice results reported here and with previous ground state calculations and find very good agreement.
Highlights
In recent years, hadron-hadron scattering information from first-principles lattice QCD (LQCD) has become significantly more accessible
Fostered by advances in theoretical and computational tools, a large number of high-precision studies have been performed in the meson sector; see, for example, Refs. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] and [31] for a review
Significant progress has been made in the development of formalisms relating the finite- and infinitevolume three-hadron spectrum [57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97]. Applications of such approaches to LQCD data have far been for three pion systems in maximal isospin [54,55,56,58,62,63]. We extend these methods to explore a new area: we present both the first determination of the excited three-kaon finite-volume spectrum from LQCD, along with the first connection to infinite-volume scattering using the formalism of Refs. [29,58,63,68,72]
Summary
Hadron-hadron scattering information from first-principles lattice QCD (LQCD) has become significantly more accessible. Significant progress has been made in the development of formalisms relating the finite- and infinitevolume three-hadron spectrum [57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97] Applications of such approaches to LQCD data have far been for three pion systems in maximal isospin [54,55,56,58,62,63]. The present study closes this gap, using relativistic three-body formalism implementing twobody input from the inverse amplitude approach [106,107]
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