Connecting Physical Resonant Amplitudes and Lattice QCD

Authors

Daniel R. Bolton
Raúl A. Briceño
David J. Wilson

Document Type

Article

Publication Date

2016

DOI

10.1016/j.physletb.2016.03.043

Publication Title

Physics Letters B

Volume

757

Pages

50-56

Abstract

We present a determination of the isovector, P-wave π π scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using m_{π =} 236 MeV. The finite volume spectra are described using extensions of Ltischer's method to determine the infinite volume Unitarized Chiral Perturbation Theory scattering amplitude. We exploit the pion mass dependence of this effective theory to obtain the scattering amplitude at m_π = 140 MeV. The scattering phase shift is found to agree with experiment up to center of mass energies of 1.2 GeV. The analytic continuation of the scattering amplitude to the complex plane yields a ρ-resonance pole at E-rho = [755(2)(1)( [20 over 02] ) - [i/2 129(3)(1)( [Seven over one] )] MeV. The techniques presented illustrate a possible pathway towards connecting lattice QCD observables of few-body, strongly interacting systems to experimentally accessible quantities.

Comments

This is an open access article under the CC BY license.

(https://creativecommons.org/licenses/by/4.0/)

Original Publication Citation

Bolton, D. R., Briceno, R. A., & Wilson, D. J. (2016). Connecting physical resonant amplitudes and lattice QCD. Physics Letters B, 757, 50-56. doi: 10.1016/j.physletb.2016.03.043

Repository Citation

Bolton, Daniel R.; Briceño, Raúl A.; and Wilson, David J., "Connecting Physical Resonant Amplitudes and Lattice QCD" (2016). Physics Faculty Publications. 31.
https://digitalcommons.odu.edu/physics_fac_pubs/31