Timelike meson form factors beyond the elastic region from lattice QCD

Ortega-Gama, Felipe G.; Dudek, Jozef J.; Edwards, Robert G.

doi:10.1103/PhysRevD.110.094505

Title: Timelike meson form factors beyond the elastic region from lattice QCD

Journal Article · 07 November 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.094505 · OSTI ID:2476552

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We present a calculation of the vector-isovector timelike form factors of the pion and the kaon using lattice quantum chromodynamics. We calculate two-point correlation functions with $m_{π} \sim 280 MeV$ , extracting both the finite-volume spectrum and matrix elements for these states created from the vacuum by a vector current. After determining the coupled-channel $π π, K \bar{K}$ scattering amplitudes, we perform the necessary correction for the significant finite-volume effects present in the current matrix elements, leading to the timelike form factors. We find these to be dominated by the presence of the $ρ$ resonance, and we extract its decay constant by an analytic continuation of the amplitudes to the resonance pole. In addition, the spacelike pion form factor is determined on the same lattice configurations, and a dispersive parametrization is used to simultaneously describe the spacelike and elastic timelike regions. Published by the American Physical Society 2024

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: Hadron Spectrum Collaboration

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; AC05-06OR23177; SC0018416; SC0023598

OSTI ID:: 2476552

Report Number(s):: DOE/OR/23177-7575; JLAB-THY--24-4132; 094505

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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