Semileptonic decays of Λc+ in light-front quark model with nonvalence contributions

We investigate the exclusive semilpetonic decays of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msubsup><a:mi mathvariant="normal">Λ</a:mi><a:mi>c</a:mi><a:mo>+</a:mo></a:msubsup><a:mo stretchy="false">→</a:mo><a:mo stretchy="false">(</a:mo><a:mi mathvariant="normal">Λ</a:mi><a:mo>/</a:mo><a:mi>n</a:mi><a:mo stretchy="false">)</a:mo><a:msup><a:mo>ℓ</a:mo><a:mo>+</a:mo></a:msup><a:msub><a:mi>ν</a:mi><a:mo>ℓ</a:mo></a:msub><a:mo stretchy="false">(</a:mo><a:mo>ℓ</a:mo><a:mo>=</a:mo><a:mi>e</a:mi><a:mo>,</a:mo><a:mi>μ</a:mi><a:mo stretchy="false">)</a:mo></a:math> within the standard model by using the light-front quark model (LFQM). The form factor behaviors are obtained from the effective treatment of nonvalence contributions in addition to the valence ones in the Drell-Yan-West frame due to the Bethe-Salpeter formalism. Based on these form factors, we find that the decay branching ratios of <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msubsup><j:mi mathvariant="normal">Λ</j:mi><j:mi>c</j:mi><j:mo>+</j:mo></j:msubsup><j:mo stretchy="false">→</j:mo><j:mo stretchy="false">(</j:mo><j:mi mathvariant="normal">Λ</j:mi><j:msup><j:mi>e</j:mi><j:mo>+</j:mo></j:msup><j:msub><j:mi>ν</j:mi><j:mi>e</j:mi></j:msub><j:mo>,</j:mo><j:mi mathvariant="normal">Λ</j:mi><j:msup><j:mi>μ</j:mi><j:mo>+</j:mo></j:msup><j:msub><j:mi>ν</j:mi><j:mi>e</j:mi></j:msub><j:mo>,</j:mo><j:mi>n</j:mi><j:msup><j:mi>e</j:mi><j:mo>+</j:mo></j:msup><j:msub><j:mi>ν</j:mi><j:mi>e</j:mi></j:msub><j:mo>,</j:mo><j:mi>n</j:mi><j:msup><j:mi>μ</j:mi><j:mo>+</j:mo></j:msup><j:msub><j:mi>ν</j:mi><j:mi>e</j:mi></j:msub><j:mo stretchy="false">)</j:mo></j:math> are about <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:mo stretchy="false">(</r:mo><r:mn>3.39</r:mn><r:mo>,</r:mo><r:mn>3.21</r:mn><r:mo>,</r:mo><r:mn>0.36</r:mn><r:mo>,</r:mo><r:mn>0.35</r:mn><r:mo stretchy="false">)</r:mo><r:mo>%</r:mo></r:math> with the nonvalence contributions, which are consistent with the recent experimental measurements at BESIII. Furthermore, we use the experimental data to fit the <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:mi>β</v:mi></v:math> parameters in the baryonic distribution amplitudes under the LFQM, resulting in (<x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:msub><x:mi>β</x:mi><x:msub><x:mi mathvariant="normal">Λ</x:mi><x:mi>c</x:mi></x:msub></x:msub><x:mo>,</x:mo><x:msub><x:mi>β</x:mi><x:mi mathvariant="normal">Λ</x:mi></x:msub><x:mo>,</x:mo><x:msub><x:mi>β</x:mi><x:mi>n</x:mi></x:msub><x:mo stretchy="false">)</x:mo><x:mo>=</x:mo><x:mo stretchy="false">(</x:mo><x:mn>0.58</x:mn><x:mo>±</x:mo><x:mn>0.08</x:mn><x:mo>,</x:mo><x:mn>0.52</x:mn><x:mo>±</x:mo><x:mn>0.08</x:mn><x:mo>,</x:mo><x:mn>0.44</x:mn><x:mo>±</x:mo><x:mn>0.04</x:mn><x:mo stretchy="false">)</x:mo></x:math>.