Extraction of isoscalar π π phase shifts from lattice QCD

Guo, D.; Alexandru, A.; Molina, R.; Mai, M.; Döring, M.

doi:10.1103/PhysRevD.98.014507

Title: Extraction of isoscalar $π π$ phase shifts from lattice QCD

Journal Article · Thu Jul 12 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.014507· OSTI ID:1460031

Guo, D.; Alexandru, A.; Molina, R.; Mai, M.; Döring, M.

Here, we conduct a two-flavor (N_f = 2) lattice QCD calculation of the elastic phase shifts for pion-pion scattering in the scalar, isoscalar channel (the σ-meson). The calculation is performed for two quark masses corresponding to pion masses of 315 and 227 MeV. The σ-meson parameters are extracted using various parametrizations of the scattering amplitude. The results obtained from a chiral unitary parametrization are extrapolated to the physical point and read M_σ = (440⁺¹⁰_–16(50) – i240(20)(25)) MeV, where the uncertainties in the parentheses denote the stochastic and systematic ones. The behavior of the σ-meson parameters with increasing pion mass is discussed as well.

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-95ER40907; AC05-06OR23177; PHY-1151648; PHY-1452055

OSTI ID:: 1460031

Alternate ID(s):: OSTI ID: 1460363

Report Number(s):: JLAB-THY-18-2662; DOE/OR/23177-4367; arXiv:1803.02897; PRVDAQ; 014507

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 1; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 40 works

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