Finite-volume energy spectrum of the $K^-K^-K^-$ system

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.

Review of the $${\Lambda }$$(1405) A curious case of a strangeness resonance

“…For examples on EFT based calculations the reader is referred to Refs. [39][40][41][42] and for multikaon systems on the lattice [43,44]. Currently, it is believed that -if manifested -the strange degrees of freedom (hyperons or kaon condensates) soften the equation of state of neutron stars [35,36,45,46].…”

Hadron Spectroscopy with Lattice QCD

“…[163,164] by Guo et al, based on a variational approach and the Faddeev method. Lattice QCD calculations of three-body systems have seen continuous progress in the last few years, pioneered by the NPLQCD collaboration, Hörz/Hanlon, and the GWU-QCD, ETMC, and Hadron Spectrum collaborations for three-pion and three-kaon systems at maximal isospin [165][166][167][168][169][170][171][172][173], and with the largest number of energy eigenvalues to date calculated in Ref. [174].…”

Elastic nucleon-pion scattering at $m_π = 200~{\rm MeV}$ from lattice QCD

“…Lattice QCD calculations of two-pion systems are well established (for a recent review, see Ref. [31]), and there are now numerous three-meson results [32][33][34][35][36][37][38]. In contrast, there are few nucleon-pion scattering studies in lattice QCD.…”