Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD

Abstract

We present the results of a lattice study of light-cone distribution amplitudes (DAs) of the nucleon and negative parity nucleon resonances using two flavors of dynamical (clover) fermions on lattices of different volumes and pion masses down to m_pi = 150 MeV. We find that the three valence quarks in the proton share their momentum in the proportion 37% : 31% : 31%, where the larger fraction corresponds to the u-quark that carries proton helicity, and determine the value of the wave function at the origin in position space, which turns out to be small compared to the existing estimates based on QCD sum rules. Higher-order moments are constrained by our data and are all compatible with zero within our uncertainties. We also calculate the normalization constants of the higher-twist DAs that are related to the distribution of quark angular momentum. Furthermore, we use the variational method and customized parity projection operators to study the states with negative parity. In this way we are able to separate the contributions of the two lowest states that, as we argue, possibly correspond to N*(1535) and a mixture of N*(1650) and the pion-nucleon continuum, respectively. It turns out that the state that we identify with N*(1535) has a very different DA as compared to both the second observed negative parity state and the nucleon, which may explain the difference in the decay patterns of N*(1535) and N*(1650) observed in experiment.

arXiv comment19 pages, 11 figures

References in corpus (27)

• The Chroma Software System for Lattice QCD
• The strange quark mass and Lambda parameter of two flavor QCD
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Perturbative QCD Analysis of the Nucleon's Pauli Form Factor F_2(Q^2)
• Nucleon Form Factors in QCD
• Higher Twist Distribution Amplitudes of the Nucleon in QCD
• Pion and Rho Structure Functions from Lattice QCD
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Scattering in the pion-nucleon negative parity channel in lattice QCD
• Light-Cone Sum Rules for the Nucleon Form Factors
• Excited Baryons in Lattice QCD
• Three-Quark Light-Cone Amplitudes of The Proton And Quark-Orbital-Motion Dependent Observables
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• Nucleon distribution amplitudes and proton decay matrix elements on the lattice
• Nucleon Form Factors and Distribution Amplitudes in QCD
• Negative-Parity Baryon Spectroscopy
• Classification and Asymptotic Scaling of Hadron Light-Cone Wave-Function Amplitudes
• Nucleon distribution amplitudes from lattice QCD
• Electroproduction of the N*(1535) resonance at large momentum transfer
• Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect and Hyperfine Mass Splitting
• On the Nucleon Distribution Amplitude: The Heterotic Solution
• Two-loop renormalization of three-quark operators in QCD
• Nucleon Excited States in N${}_f$=2 lattice QCD
• Chiral extrapolation of nucleon wave function normalization constants
• Non-perturbative renormalization of three-quark operators
• Irreducible Multiplets of Three-Quark Operators on the Lattice: Controlling Mixing under Renormalization
• The nucleon wave function at the origin

Cited by in corpus (33)

• Baryons as relativistic three-quark bound states
• New Results from the Studies of the $N(1440)1/2^{+}$, $N(1520)3/2^{-}$, and $\Delta (1620)1/2^{-}$ Resonances in Exclusive $ep\to e^{\prime }{p}^{\prime }{\pi }^{+}{\pi }^{-}$ Electroproduction with the CLAS Detector
• Empirical Consequences of Emergent Mass
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
• Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• Measurements of $ep\to e^{\prime }{\pi }^{+}{\pi }^{-}{p}^{\prime }$ Cross Sections with CLAS at $1.40<W<2.0$ GeV and $2.0<Q^2<5.0$ GeV${}^2$
• Electroproduction of the $N^{\ast }(1535)$ nucleon resonance in QCD
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Axial form factor of the nucleon at large momentum transfers
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• N* Structure and Strong QCD
• Nucleon Resonance Structure from Exclusive Meson Electroproduction with CLAS
• Model-independent calculation of $SU(3{)}_f$ violation in baryon octet light-cone distribution amplitudes
• QCD description of backward vector meson hard electroproduction
• Gravitational transition form factors of $N(1535)\to N$
• ${\Lambda }_b\to p,N^{\ast }(1535)$ Form Factors from QCD Light-Cone Sum Rules
• Exploring Light-Cone Distribution Amplitudes from Quantum Computing
• Estimates of exchange topological contributions and $CP$-violating observables in ${\Lambda }_b\to \Lambda \varphi$ decay
• Charmonium decays of beauty baryons in the perturbative QCD approach
• Expanding the Interpolator Basis in the Variational Method to Explicitly Account for Backward Running States
• Updates on the Studies of $N^{\ast }$ Structure with CLAS and the Prospects with CLAS12
• The decays ${\Lambda }_{b,c}\to N^{\ast }l\nu$ in QCD
• Nucleon resonances with spin $\frac{3}{2}$ and isospin $\frac{1}{2}$
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Isovector and isoscalar tensor form factors of $N(1535)\to N$ transition in light-cone QCD
• Study of the ${\Lambda }_b\to N^{\ast }{\ell }^{+}{\ell }^{-}$ decay in light cone sum rules
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• $N^{\ast }$ Resonances in Lattice QCD from (mostly) Low to (sometimes) High Virtualities
• Light-cone sum rule approach for Baryon form factors