Light cone distribution amplitude for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Λ</mml:mi></mml:math> baryon from lattice QCD

We calculate the leading-twist light cone distribution amplitudes of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="normal">Λ</a:mi><a:mo stretchy="false">(</a:mo><a:mi>u</a:mi><a:mi>d</a:mi><a:mi>s</a:mi><a:mo stretchy="false">)</a:mo></a:math> baryon using lattice QCD methods within the framework of large-momentum effective theory. Our numerical computations are carried out with <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:msub><f:mi>N</f:mi><f:mi>f</f:mi></f:msub><f:mo>=</f:mo><f:mn>2</f:mn><f:mo>+</f:mo><f:mn>1</f:mn></f:math> stout smeared clover fermions and a Symanzik gauge action on a lattice with spacing <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:mi>a</h:mi><h:mo>=</h:mo><h:mn>0.077</h:mn><h:mtext> </h:mtext><h:mtext> </h:mtext><h:mi>fm</h:mi></h:math> and a pion mass of 303 MeV. To approach the large-momentum region, we simulate the equal-time correlations with the hadron momentum <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mrow><j:msup><j:mrow><j:mi>P</j:mi></j:mrow><j:mrow><j:mi>z</j:mi></j:mrow></j:msup><j:mo>=</j:mo><j:mo stretchy="false">{</j:mo><j:mn>2.52</j:mn><j:mo>,</j:mo><j:mn>3.02</j:mn><j:mo>,</j:mo><j:mn>3.52</j:mn><j:mo stretchy="false">}</j:mo><j:mtext> </j:mtext><j:mtext> </j:mtext><j:mi>GeV</j:mi></j:mrow></j:math>. We investigate the analytic properties of the baryon quasidistribution amplitude in coordinate space and validate them through our lattice calculations. After renormalization and extrapolation, we present results for the three-dimensional distribution in momentum fractions of the two light quarks. Based on these findings, we briefly discuss the phenomenological impact on weak decays of <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msub><n:mi mathvariant="normal">Λ</n:mi><n:mi>b</n:mi></n:msub></n:math> and outline potential systematic uncertainties that can be improved in the future. This work lays the theoretical foundation for accessing baryon light cone distribution amplitudes from lattice QCD.