6533b7d1fe1ef96bd125c4d2

RESEARCH PRODUCT

The negative-parity spin-1/2 Λ baryon spectrum from lattice QCD and effective theory

P. Fernandez-solerPhilipp GublerR. PavaoMakoto OkaJuan NievesToru T. Takahashi

subject

PhysicsQuarkNuclear and High Energy PhysicsParticle physicsFinite volume method010308 nuclear & particles physicsHigh Energy Physics::LatticePhysicsQC1-999HadronNuclear TheoryHigh Energy Physics::PhenomenologyParity (physics)Lattice QCD01 natural sciencesBaryonHigh Energy Physics - PhenomenologyHigh Energy Physics - LatticeLattice (order)0103 physical sciencesEffective field theoryHigh Energy Physics::Experiment010306 general physics

description

The spectrum of the negative-parity spin-1/2 $\Lambda$ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. A direct comparison between the two approaches is possible by considering the hadronic effective theory in a finite volume and with hadron masses and mesonic decay constants that correspond to the situation studied on the lattice. Comparing the energy level spectrum and $SU(3)$ flavor decompositions of the individual states, it is found that the lowest two states extracted from lattice QCD can be identified with one of the two $\Lambda(1405)$-poles and the $\Lambda(1670)$ resonance. The quark mass dependences of these two lattice QCD levels are in good agreement with their effective theory counterparts. However, as current lattice QCD studies still rely on three-quark operators to generate the physical states, clear signals corresponding to the meson-baryon scattering states, that appear in the finite volume effective theory calculation, are not yet seen.

10.1016/j.physletb.2021.136473http://www.sciencedirect.com/science/article/pii/S0370269321004135