Light Cone Distribution Amplitude for the Baryon from Lattice QCD
Abstract
We calculate the leading-twist light-cone distribution amplitudes of the light baryon using lattice methods within the framework of large momentum effective theory. Our numerical computations are conducted employing Nf=2+1 stout smeared clover fermions and a Symanzik gauge action on a lattice with spacing a=0.077\;fm, and a pion mass of 303 MeV. To approach the large momentum regime, we simulate the equal-time correlations with the hadron momentum Pz = \2.52, 3.02, 3.52\ GeV. By investigating the potential analytic characteristics of the baryon quasi-distribution amplitude in coordinate space, we validate these findings through our lattice calculations. After renormalization and extrapolation, we present results for the three-dimensional distribution of momentum fractions for the two light quarks. Based on these findings the paper briefly discusses the phenomenological impact on weak decays of b, and outlines potential systematic uncertainties that can be improved in the future. This work lays the theoretical foundation for accessing baryon LCDAs from lattice QCD.
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