Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations

Abstract

Theoretical studies within the chiral unitary approach, and recent experiments, have provided evidence of the existence of two isoscalar states in the region of the $\Lambda (1405)$. In this paper we use the same chiral approach to generate energy levels in a finite box. In a second step, assuming that these energies correspond to lattice QCD results, we devise the best strategy of analysis to obtain the two states in the infinite volume case, with sufficient precision to distinguish them. We find out that using energy levels obtained with asymmetric boxes and/or with a moving frame, with reasonable errors in the energies, one has a successful scheme to get the two $\Lambda (1405)$ poles.

Published version (more discussions added based on referee's suggestions, giving rise to a new section: IV)

References in corpus (31)

• Dynamically Generated Open and Hidden Charm Meson Systems
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Effective Kbar N interaction based on chiral SU(3) dynamics
• K^- p scattering length from scattering experiments
• Origin of resonances in the chiral unitary approach
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Rummukainen-Gottlieb's formula on two-particle system with different mass
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• Excited hadrons on the lattice: Baryons
• Isolating the Λ(1405) in Lattice QCD
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Lattice study of light scalar tetraquarks with I=0,2,1/2,3/2: are sigma and kappa tetraquarks?
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Lattice QCD determination of patterns of excited baryon states
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• A lattice study of the masses of singlet 0++ mesons
• The $KD$, $\eta D_s$ interaction in finite volume and the nature of the $D_{s^{\ast }0}(2317)$ resonance
• Dynamical coupled-channel approaches on a momentum lattice
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
• The Delta-resonance in a finite volume
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• The role of the $\Lambda (1405)$ in the $pp\to p{K}^{+}\Lambda (1405)$ reaction
• Tetra-Quark Resonances in Lattice QCD
• Kaon induced Lambda(1405) production on a deuteron target at DAFNE
• Ordering of Spin-$\frac{1}{2}$ Excitations of the Nucleon in Lattice QCD
• Five-quark picture of Lambda(1405) in anisotropic lattice QCD

Cited by in corpus (28)

• Moving Multi-Channel Systems in a Finite Volume with Application to Proton-Proton Fusion
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Three-body Unitarity in the Finite Volume
• The coupled-channel scattering on a torus
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Generalized Lüscher Formula in Multi-channel Baryon-Meson Scattering
• QCD and the Strange Baryon Spectrum
• Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Low-lying Lambda Baryons from the Lattice
• The pole structure of the Lambda(1405) in a recent QCD simulation
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• Light-quark contributions to the magnetic form factor of the Lambda(1405)
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• Antineutrino induced Lambda(1405) production off the proton
• Predicting the existence of a 2.9 GeV $D{f}_0(980)$ molecular state
• The negative-parity spin-1/2 $\Lambda$ baryon spectrum from lattice QCD and effective theory
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Compositeness of hadron resonances in finite volume
• On ambiguities of sign determination of the S-matrix from energy levels in a finite box
• Study of the $\bar{K}N$ system and coupled channels in a finite volume
• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Chirally motivated $\pi \Sigma$-$\bar{K}N$ model in a finite volume
• The pseudoscalar meson and baryon octet interaction with strangeness $S=-2$ in the unitary coupled-channel approximation
• Effective Field Theories in a Finite Volume