The I=2 ππ S-wave Scattering Phase Shift from Lattice QCD

Beane, S. R.; Chang, E.; Detmold, W.; Lin, H. W.; Luu, T. C.; Orginos, K.; Parreno, A.; Savage, M. J.; Torok, A.; Walker-Loud, A.

doi:10.1103/PhysRevD.85.034505

Title: The I=2 ππ S-wave Scattering Phase Shift from Lattice QCD

Journal Article · Thu Feb 16 04:00:00 UTC 2012 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI: https://doi.org/10.1103/PhysRevD.85.034505 · OSTI ID:1035545

Beane, S. R. ^[1]; Chang, E. ^[2]; Detmold, W. ^[3]; Lin, H. W. ^[4]; Luu, T. C. ^[5]; Orginos, K. ^[3]; Parreno, A. ^[2]; Savage, M. J. ^[4]; Torok, A. ^[6]; Walker-Loud, A. ^[7]

Albert Einstein Zentrum fur Fundamentale Physik, Sidlerstrasse (Switzerland); Univ. of New Hampshire, Durham (New Hampshire)
Univ. of Barcelona (Spain)
Jefferson Lab., Newport News, VA (United States); College of William and Mary, Williamsburg, VA (United States)
Univ. of Washington, Seattle, WA (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Indiana Univ., Bloomington, IN (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

The π⁺π⁺ s-wave scattering phase-shift is determined below the inelastic threshold using Lattice QCD. Calculations were performed at a pion mass of m_π ≈ 390 MeV with an anisotropic n_f = 2+1 clover fermion discretization in four lattice volumes, with spatial extent L ≈ 2.0, 2.5, 3.0 and 3.9 fm, and with a lattice spacing of b_s ≈ 0.123 fm in the spatial direction and b_t b_s/3.5 in the time direction. The phase-shift is determined from the energy-eigenvalues of π⁺π⁺ systems with both zero and non-zero total momentum in the lattice volume using Luscher's method. Our calculations are precise enough to allow for a determination of the threshold scattering parameters, the scattering length a, the effective range r, and the shape-parameter P, in this channel and to examine the prediction of two-flavor chiral perturbation theory: m_π² a r = 3+O(m_π²/Λ_χ²). Chiral perturbation theory is used, with the Lattice QCD results as input, to predict the scattering phase-shift (and threshold parameters) at the physical pion mass. Our results are consistent with determinations from the Roy equations and with the existing experimental phase shift data.

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

Sponsoring Organization:: USDOE Office of Science (SC)

Contributing Organization:: NPLQCD Collaboration

Grant/Contract Number:: AC05-06OR23177; AC02-05CH11231; FC02-07ER41457; AC52-07NA27344; FC02-06ER41443; FG02-07ER41527; FG02-04ER41302; AC02-06CH11357

OSTI ID:: 1035545

Report Number(s):: JLAB-THY--11-1381; DOE/OR/23177--1643; arXiv:1107.5023

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology Journal Issue: 3 Vol. 85; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: The I=2 ππ S-wave Scattering Phase Shift from Lattice QCD

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