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Low energy scattering phase shifts for meson-baryon systems

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arxiv 1511.02275 v2 pith:URYYN2H6 submitted 2015-11-07 hep-lat nucl-th

classification hep-latnucl-th
keywords scatteringcalculationscorrespondingeffectivefourlengthsmassmeson-baryon
verification ladder T0 review T1 audit T2 compute T3 formal
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In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390 MeV, we determine the scattering lengths and effective ranges for these systems at the corresponding quark masses. We also perform the calculation at a lighter quark mass, m_pi ~ 230 MeV, on the largest volume. Using these determinations, along with those in previous work, we perform a chiral extrapolation of the scattering lengths to the physical point after correcting for the effective range contributions using the multi-volume calculations performed at m_pi ~ 390 MeV.

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