Phase shift of isospin-2 π π scattering from lattice QCD

Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the L\"uscher technique. In this letter, as a trial of the method, we report on the extraction of the non-resonant phase-shift for $S$ and...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2011-04, Vol.83 (7), Article 071504
Main Authors: Dudek, Jozef J., Edwards, Robert G., Peardon, Michael J., Richards, David G., Thomas, Christopher E.
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EXCITED STATES
PHASE SHIFT
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
RESONANCE
SCATTERING
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Summary:Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the L\"uscher technique. In this letter, as a trial of the method, we report on the extraction of the non-resonant phase-shift for $S$ and $D$-wave $\pi\pi$ isospin-2 scattering from dynamical lattice QCD computations. We define a variational basis of operators resembling pairs of pions of definite relative momentum and extract a spectrum of excited states that maps to phase-shifts at a set of discrete scattering momenta. Computations are performed with pion masses between $400$ and $520$ MeV on multiple spatial volumes. We observe no significant quark mass dependence in the phase-shifts extracted which are in reasonable agreement with the available experimental data at low momentum.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.83.071504