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Title: Pion scattering in the isospin I = 2 channel from elongated lattices

Journal Article · · Physical Review D
 [1];  [1];  [2];  [3];  [1]
  1. George Washington Univ., Washington, DC (United States)
  2. George Washington Univ., Washington, DC (United States); Univ. of Maryland, College Park, MD (United States)
  3. George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Pion-pion elastic scattering in the isospin I=2 channel is reported on in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of 315 MeV and 226 MeV. The energy of the low-lying states below the inelastic threshold are extracted in each case using the standard variational method.The extracted finite-volume spectrum is fitted by the inverse amplitude method simultaneously for both quark masses and extrapolated thereafter to the physical point. The resulting phase-shifts and scattering length are compared with those from experiment, leading-order chiral perturbation theory and other lattice studies. Our measurements match the experimental results.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
Grant/Contract Number:
PHY-1151648; PHY-1452055; FG02-95ER40907; AC05-06OR23177; SC001658MM
OSTI ID:
1556834
Alternate ID(s):
OSTI ID: 1557623
Report Number(s):
JLAB-THY-19-2972; DOE/OR/-23177-4729; arXiv:1905.10202; PRVDAQ
Journal Information:
Physical Review D, Vol. 100, Issue 3; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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