Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD

Abstract

We examine the phase shifts and inelasticities associated with the $N^{\ast }(1440)$ Roper resonance and connect these infinite-volume observables to the finite-volume spectrum of lattice QCD using Hamiltonian effective field theory. We explore three hypotheses for the structure of the Roper resonance. All three hypotheses are able to describe the scattering data well. In the third hypothesis the Roper resonance couples the low-lying bare basis-state component associated with the ground state nucleon with the virtual meson-baryon contributions. Here the non-trivial superpositions of the meson-baryon scattering states are complemented by bare basis-state components explaining their observation in contemporary lattice QCD calculations. The merit of this scenario lies in its ability to not only describe the observed nucleon energy levels in large-volume lattice QCD simulations but also explain why other low-lying states have been missed in today's lattice QCD results for the nucleon spectrum.

arXiv comment14 pages, 14 figures; version to be published in Phys. Rev. D

References in corpus (32)

• 2+1 Flavor Lattice QCD toward the Physical Point
• Baryons as relativistic three-quark bound states
• Excited state baryon spectroscopy from lattice QCD
• What is the structure of the Roper resonance?
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Electroexcitation of nucleon resonances
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Physical Nucleon Properties from Lattice QCD
• A study of the $P_{11}(1440)$ and $D_{13}(1520)$ resonances from CLAS data on $ep\to e^{\prime }{\pi }^{+}{\pi }^{-}{p}^{\prime }$
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• New results on the Roper resonance and the P_{11} partial wave
• Pion-nucleon scattering in the Roper channel from lattice QCD
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1535)$ resonance in lattice QCD
• Roper Resonance in 2+1 Flavor QCD
• Electroexcitation of the Roper resonance for 1.7 < Q2 < 4.5 GeV2 in ep -> enpi+
• A finite-volume matrix Hamiltonian model for a Delta -> nucleon-pion system
• Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
• Chiral extrapolation of nucleon magnetic form factors
• Structure and Flow of the Nucleon Eigenstates in Lattice QCD
• A novel analysis method for excited states in lattice QCD - the nucleon case
• Extraction of P11 resonances from pi N data
• Lattice baryon spectroscopy with multi-particle interpolators
• Wave Function of the Roper from Lattice QCD
• The role of $qqqq\bar{q}$ components in the nucleon and the N(1440) resonance
• Simple Quark Model with Chiral Phenomenology
• Axial $N\to \Delta (1232)$ and $N\to N^{\star }(1440)$ transition form factors
• Nucleon Excited State Wave Functions from Lattice QCD
• The two pion decay of the Roper resonance
• Measurement of the Polarized Structure Function ${\sigma }_{L{T}^{\prime }}$ for Pion Electroproduction in the Roper Resonance Region
• Pion electro-production in the Roper region in chiral quark models
• Roper resonances in chiral quark models

Cited by in corpus (34)

• Scattering processes and resonances from lattice QCD
• Three-body Unitarity in the Finite Volume
• The $I=1$ pion-pion scattering amplitude and timelike pion form factor from $N_{\mathrm{f}}=2+1$ lattice QCD
• Nuclear-bound quarkonia and heavy-flavor hadrons
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• Search for low-lying lattice QCD eigenstates in the Roper regime
• Structure of the Roper Resonance from Lattice QCD Constraints
• The S- and P-wave low-lying baryons in the chiral quark model
• Strong decays of the 1P and 2D doubly charmed states
• Light-quark contributions to the magnetic form factor of the Lambda(1405)
• Partial Wave Mixing in Hamiltonian Effective Field Theory
• Hamiltonian effective field theory in elongated or moving finite volume
• Elastic Form Factors of Nucleon Excitations in Lattice QCD
• Valence quark contributions for the ${\gamma }^{\ast }N\to N(1440)$ form factors from Light-Front holography
• Nucleon resonance structure in the finite volume of lattice QCD
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• The Positive-Parity Baryon Spectrum and the Role of Hybrid Baryons
• Particle-dimer approach for the Roper resonance in a finite volume
• Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory
• The Roper resonance: a genuine quark state or a dynamically generated structure?
• Pion Photoproduction off Nucleon with Hamiltonian Effective Field Theory
• Role of chiral symmetry in the nucleon excitation spectrum
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• Inverse scattering problem with a bare state
• Structure of the ${\Omega }^{-}(2012)$ with Hamiltonian Effective Field Theory
• Quark model study of the $\pi N\to \pi N$ reactions up to the $N(1440)$ resonance region
• A lattice QCD study of pion-nucleon scattering in the Roper channel
• Meson-Nucleon Scattering Amplitudes from Lattice QCD
• The Roper Resonance in a finite volume
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• $\Delta$ baryon spectroscopy in lattice QCD
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD
• Understanding the 1P- and 2S-wave nucleon resonances within the extended Lee-Friedrichs Model