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Hadron-Hadron Interactions from $N_f=2+1+1$ Lattice QCD: $I=3/2$ $pi K$ Scattering Length

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 نشر من قبل Christopher Helmes
 تاريخ النشر 2018
  مجال البحث
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In this paper we report on results for the s-wave scattering length of the $pi$-$K$ system in the $I=3/2$ channel from $N_f=2+1+1$ Lattice QCD. The calculation is based on gauge configurations generated by the European Twisted Mass Collaboration with pion masses ranging from about $230$ to $450,text{MeV}$ at three values of the lattice spacing. Our main result reads $M_{pi},a_0^{3/2,text{phys}} = -0.059(2)$. Using chiral perturbation theory we are also able to estimate $M_{pi},a_0^{1/2,text{phys}} = 0.163(3)$. The error includes statistical and systematic uncertainties, and for the latter in particular errors from the chiral and continuum extrapolations.



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