Bottom baryon decays into pseudoscalar meson and dark baryon within perturbative QCD approach

In the work, we study the production of dark baryon <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>ψ</a:mi> </a:math> with the bottom-baryon decays <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:msub> <c:mi mathvariant="normal">Λ</c:mi> <c:mi>b</c:mi> </c:msub> <c:mo stretchy="false">→</c:mo> <c:mi>P</c:mi> <c:mi>ψ</c:mi> </c:math> under the perturbative quantum chromodynamics (QCD) approach. For the type-I/II models in B-mesogenesis scenarios, we calculate the form factors for bottom-baryon decays into meson. Using these results, we obtain branching ratios for <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:msub> <g:mi mathvariant="normal">Λ</g:mi> <g:mi>b</g:mi> </g:msub> <g:mo stretchy="false">→</g:mo> <g:mi>P</g:mi> <g:mi>ψ</g:mi> </g:math> decays. The PQCD approach calculations show these branching ratios reach <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:mi mathvariant="script">O</k:mi> <k:mo stretchy="false">(</k:mo> <k:msup> <k:mn>10</k:mn> <k:mrow> <k:mo>−</k:mo> <k:mn>5</k:mn> </k:mrow> </k:msup> <k:mo stretchy="false">)</k:mo> </k:math> in both models, with <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:mi mathvariant="script">B</p:mi> <p:mo stretchy="false">(</p:mo> <p:msub> <p:mi mathvariant="normal">Λ</p:mi> <p:mi>b</p:mi> </p:msub> <p:mo stretchy="false">→</p:mo> <p:mi>K</p:mi> <p:mi>ψ</p:mi> <p:mo stretchy="false">)</p:mo> </p:math> specifically reaching <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:mi mathvariant="script">O</w:mi> <w:mo stretchy="false">(</w:mo> <w:msup> <w:mn>10</w:mn> <w:mrow> <w:mo>−</w:mo> <w:mn>4</w:mn> </w:mrow> </w:msup> <w:mo stretchy="false">)</w:mo> </w:math> in type-II. These accessible magnitudes make the predictions testable at the LHCb and B-factories with improved precision.