Energy dependence of the ρ\rho resonance in ππ\pi\pi elastic scattering from lattice QCD

Dec, 2012
18 pages
Published in:
  • Phys.Rev.D 87 (2013) 3, 034505,
  • Phys.Rev.D 90 (2014) 9, 099902 (erratum)
  • Published: Feb 12, 2013
e-Print:
Report number:
  • JLAB-THY-12-1666,
  • TCDMATH-12-10

Citations per year

201220152018202120240102030
Abstract: (APS)
We determine the energy-dependent amplitude for elastic ππ P-wave scattering in isospin-1 by computing part of the discrete energy spectrum of QCD in finite cubic boxes. We observe a rapidly rising phase shift that can be well described by a single ρ resonance. The spectrum is obtained from hadron correlators computed using lattice QCD with light quark masses corresponding to mπ∼400  MeV. Variational analyses are performed with large bases of hadron interpolating fields including, as well as fermion bilinears that resemble qq¯ constructions, also operators that resemble pairs of pions with definite relative and total momentum. We compute the spectrum for a range of center-of-mass momenta and in various irreducible representations of the relevant symmetry group. Hence we determine more than 30 values of the isospin-1 P-wave scattering phase shift in the elastic region, mapping out its energy dependence in unprecedented detail.
Note:
  • V2: Corrected a bug in code that previously lead to incorrect normalization of certain correlation functions. Erratum prepended to existing paper shows corrected results. Qualitative features remain unchanged, determined rho resonance parameters change slightly
  • 12.38.Gc
  • 14.40.Be
  • 13.75.Lb
  • hadron: correlation function
  • energy spectrum: discrete
  • energy dependence
  • scattering
  • quantum chromodynamics
  • elastic scattering
  • rho(770): mass