2018/09/30 by Finn M. Stokes, Waseem Kamleh, Derek B. Leinweber · 1 citation
Mathematics · Physics and Astronomy · #Baryon #Eigenvalues and eigenvectors #Formalism (music) #Ground state #Mathematics #Nuclear physics research studies #Nucleon #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Statistics #Systematic error #hep-lat
paper · pdf · doi:10.1103/physrevd.99.074506
published as Phys. Rev. D 99, 074506 (2019) · 15 pages, 17 figures
openalex publication_date 2019/04/12 · arxiv created 2019/05/14 · arxiv updated 2019/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The recently introduced parity expanded variational analysis (PEVA) technique allows for the isolation of baryon eigenstates at finite momentum free from opposite-parity contamination. In this paper, we establish the formalism for computing form factors of spin-1/2 states using PEVA. Selecting the vector current, we compare the electromagnetic form factors of the ground state nucleon extracted via this technique to a conventional parity-projection approach. Our results show a statistically significant discrepancy between the PEVA and conventional analyses. This indicates that existing calculations of matrix elements of ground state baryons at finite momentum can be affected by systematic errors of \ensuremath∼20% at physical quark masses. The formalism introduced here provides an effective approach to removing these systematic errors.