Abstract
The calculation of the $I=2$ pion scattering length in quenched lattice QCD is reexamined. The calculation is carried out with the Wilson fermion action employing L\"uscher's finite size scaling method at $\ensuremath{\beta}=5.9,$ $6.1,$ and $6.3$ corresponding to the range of lattice spacing $a\ensuremath{\simeq}0.12\ensuremath{-}0.07\mathrm{fm}.$ We obtain in the continuum limit ${a}_{0}{/m}_{\ensuremath{\pi}}=\ensuremath{-}2.09(35)1/{\mathrm{GeV}}^{2},$ which is consistent with the prediction of chiral perturbation theory ${a}_{0}{/m}_{\ensuremath{\pi}}=\ensuremath{-}2.265(51)1/{\mathrm{GeV}}^{2}.$
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
