The Delta-resonance in a finite volume

Abstract

We study the extraction of Delta-resonance parameters from lattice data for small quark masses, corresponding to the case of an unstable Delta. To this end, we calculate the spectrum of the correlator of two Delta-fields in a finite Euclidian box up-to-and-including O(epsilon^3) in the small scale expansion using infrared regularization. On the basis of our numerical study, we argue that the extraction of the parameters of the Delta-resonance (in particular, of the mass and the pion-nucleon-delta coupling constant) from the measured volume dependence of the lowest energy levels should be feasible.

20 pages, 8 postscript figures

References in corpus (30)

• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Finite-Volume Effects for Two-Hadron States in Moving Frames
• Weak transition matrix elements from finite-volume correlation functions
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Two Nucleons on a Lattice
• Finite Volume Corrections to the Two-Particle Decay of States with Non-Zero Momentum
• The form factors of the nucleon at small momentum transfer
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Chiral Perturbation Theory Analysis of the Baryon Magnetic Moments
• The nucleon mass in N_f=2 lattice QCD: finite size effects from chiral perturbation theory
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
• Hadron Masses From Novel Fat-Link Fermion Actions
• Exploring Hyperons and Hypernuclei with Lattice QCD
• Quenched spectroscopy with fixed-point and chirally improved fermions
• Excited Baryons in Lattice QCD
• Nucleon Masses and Magnetic Moments in a Finite Volume
• Chiral Extrapolations and the Covariant Small Scale Expansion
• Signatures of S-wave bound-state formation in finite volume
• Baryon Spectroscopy in Lattice QCD
• Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect and Hyperfine Mass Splitting
• Excited nucleon spectrum using a non-perturbatively improved clover fermion action
• Nucleon Properties at Finite Volume: the Epsilon Prime Regime
• The pion and proton mass in finite volume
• Latest results from lattice QCD for the Roper resonance
• A nucleon in a tiny box
• Spin-3/2 baryons from an anisotropic lattice QCD action
• Analysis of unstable particle with the maximum entropy method in O(4) ${\varphi }^4$ theory on the lattice
• Meson and Baryon Spectroscopy on a Lattice
• Excitations of the nucleon with dynamical fermions

Cited by in corpus (36)

• Scattering processes and resonances from lattice QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• The coupled-channel scattering on a torus
• Resonance properties from the finite-volume energy spectrum
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• An solvable three-body model in finite volume
• Towards grounding nuclear physics in QCD
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Dynamical coupled-channel approaches on a momentum lattice
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• On the modification of the Efimov spectrum in a finite cubic box
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Scattering of unstable particles in a finite volume: the case of pi rho scattering and the a1(1260) resonance
• An numerical approach for finite volume three-body interaction
• Multiple-particle interaction in $1+1$ dimensional lattice model
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Strategy to find the two $\Lambda (1405)$ states from lattice QCD simulations
• The pion-pion Interaction in the rho Channel in Finite Volume
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• Coupled-channel scattering in 1+1 dimensional lattice model
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Finite volume treatment of pi pi scattering and limits to phase shifts extraction from lattice QCD
• Propagation of particles on a torus
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
• Quantum Monte Carlo calculations of two neutrons in finite volume
• Chiral Corrections and the Axial Charge of the Delta
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• Axial couplings in heavy hadron chiral perturbation theory at the next-to-leading order
• The $DN$, $\pi {\Sigma }_c$ interaction in finite volume and the ${\Lambda }_c(2595)$ resonance
• When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations
• Extraction of the resonance parameters at finite times
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Baryon spin-flavor structure from an analysis of lattice QCD results of the baryon spectrum
• The Roper Resonance in a finite volume
• The Beauty of Spin