Nucleon form factors with2+1flavor dynamical domain-wall fermions

2009/04/14 by Takeshi Yamazaki, Yasumichi Aoki, Tom Blum +7 · 6 citations
Engineering · Physics and Astronomy · #Dimensionless quantity #Isovector #Lattice QCD #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Superconducting Materials and Applications #hep-lat

paper · pdf · doi:10.1103/physrevd.79.114505

published as Phys.Rev.D79:114505,2009 · 47 pages, 31 figures

arxiv created 2009/04/14 · openalex publication_date 2009/06/29 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We report our numerical lattice QCD calculations of the isovector nucleon form factors for the vector and axial-vector currents: the vector, induced tensor, axial-vector, and induced pseudoscalar form factors. The calculation is carried out with the gauge configurations generated with N_f=2+1 dynamical domain-wall fermions and Iwasaki gauge actions at \ensuremathβ=2.13, corresponding to a cutoff a^\ensuremath-1=1.73 GeV, and a spatial volume of (2.7 fm)³. The up and down-quark masses are varied so the pion mass lies between 0.33 and 0.67 GeV while the strange quark mass is about 12% heavier than the physical one. We calculate the form factors in the range of momentum transfers, 0.2<q²<0.75 GeV². The vector and induced tensor form factors are well described by the conventional dipole forms and result in significant underestimation of the Dirac and Pauli mean-squared radii and the anomalous magnetic moment compared to the respective experimental values. We show that the axial-vector form factor is significantly affected by the finite spatial volume of the lattice. In particular in the axial charge, g_A/g_V, the finite-volume effect scales with a single dimensionless quantity, m_\ensuremathπL, the product of the calculated pion mass and the spatial lattice extent. Our results indicate that for this quantity, m_\ensuremathπL>6 is required to ensure that finite-volume effects are below 1%.

Citations

• Nucleon properties at finite volume: the ε′-regime
• Review of Particle Physics
• A method for simulating chiral fermions on the lattice
• Nucleon form factors from quenched lattice QCD with domain wall fermions
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• The static approximation of heavy-light quark systems. A detailed lattice study
• Nucleon electromagnetic form factors from lattice QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• Nucleon to delta electromagnetic transition form factors in lattice QCD
• Flavor twisted boundary conditions and the nucleon vector current
• The nucleon axial-vector coupling beyond one loop
• First lattice QCD study of the Σ−→n axial and vector form factors with SU(3) breaking corrections
• Chiral extrapolation of octet-baryon charge radii
• Chiral fermions from lattice boundaries
• Measurement of G_Ep/G_Mp in ep→ ep to Q² = 5.6 GeV²
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Nucleon to delta electromagnetic transition in the Dyson-Schwinger approach
• Renormalization constants of local operators for Wilson type improved fermions
• Continuum limit of hyperon vector coupling f1(0) from 2+1 flavor domain wall QCD
• Solving the PCAC puzzle for nucleon axial and pseudoscalar form factors
• Form factors in lattice QCD
• Nucleon isovector couplings fromNf=2lattice QCD

Related

• Nucleon isovector form factors from domain-wall lattice QCD at the physical mass
• Isovector nucleon form factors from 2+1-flavor dynamical domain-wall lattice QCD at the physical mass
• Nucleon structure with dynamical (2+1)-flavor domain wall fermions lattice QCD
• Nucleon form factors from quenched lattice QCD with domain wall fermions
• Nucleon form factors in N_f=2+1 lattice QCD at the physical point : finite lattice spacing effect on the root-mean-square radii