Nonleptonic two-body weak decays of charmed baryons

Abstract

We analyze the two-body nonleptonic weak decays of charmed baryons, employing the pole approximation in tandem with the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>S</a:mi><a:mi>U</a:mi><a:mo stretchy="false">(</a:mo><a:mn>3</a:mn><a:msub><a:mo stretchy="false">)</a:mo><a:mi>F</a:mi></a:msub></a:math> symmetry. We are able to make novel predictions for decay channels of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msubsup><e:mi mathvariant="normal">Ω</e:mi><e:mi>c</e:mi><e:mn>0</e:mn></e:msubsup><e:mo stretchy="false">→</e:mo><e:msub><e:mi mathvariant="bold">B</e:mi><e:mi>n</e:mi></e:msub><e:mi>P</e:mi></e:math> and <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:msub><j:mi mathvariant="bold">B</j:mi><j:mrow><j:mi>c</j:mi><j:mi>c</j:mi></j:mrow></j:msub><j:mo stretchy="false">→</j:mo><j:msubsup><j:mi mathvariant="bold">B</j:mi><j:mi>c</j:mi><j:mrow><j:mi>A</j:mi><j:mo>,</j:mo><j:mi>S</j:mi></j:mrow></j:msubsup><j:mi>P</j:mi></j:math> based on the experimental data of <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msubsup><o:mi mathvariant="bold">B</o:mi><o:mi>c</o:mi><o:mi>A</o:mi></o:msubsup><o:mo stretchy="false">→</o:mo><o:msub><o:mi mathvariant="bold">B</o:mi><o:mi>n</o:mi></o:msub><o:mi>P</o:mi></o:math>. Here, <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msub><t:mi mathvariant="bold">B</t:mi><t:mi>n</t:mi></t:msub></t:math>, <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msubsup><w:mi mathvariant="bold">B</w:mi><w:mi>c</w:mi><w:mi>A</w:mi></w:msubsup></w:math>, <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:msubsup><z:mi mathvariant="bold">B</z:mi><z:mi>c</z:mi><z:mi>S</z:mi></z:msubsup></z:math>, and <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msub><cb:mi mathvariant="bold">B</cb:mi><cb:mrow><cb:mi>c</cb:mi><cb:mi>c</cb:mi></cb:mrow></cb:msub></cb:math> are the low-lying octet, antitriplet charmed, sextet charmed and doubly charmed baryons, respectively, and <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:mi>P</fb:mi></fb:math> is the pseudoscalar meson. Our findings reveal that the fitted effective Wilson coefficient <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msub><hb:mi mathvariant="script">C</hb:mi><hb:mo>+</hb:mo></hb:msub><hb:mo>=</hb:mo><hb:mn>0.469</hb:mn></hb:math> is notably smaller than the naïve expectation, and the low-lying pole approximation fails to account for <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"><kb:mi mathvariant="script">B</kb:mi><kb:mo stretchy="false">(</kb:mo><kb:msubsup><kb:mi mathvariant="normal">Λ</kb:mi><kb:mi>c</kb:mi><kb:mo>+</kb:mo></kb:msubsup><kb:mo stretchy="false">→</kb:mo><kb:mi>n</kb:mi><kb:msup><kb:mi>π</kb:mi><kb:mo>+</kb:mo></kb:msup><kb:mo>,</kb:mo><kb:msup><kb:mi mathvariant="normal">Ξ</kb:mi><kb:mn>0</kb:mn></kb:msup><kb:msup><kb:mi>K</kb:mi><kb:mo>+</kb:mo></kb:msup><kb:mo stretchy="false">)</kb:mo></kb:math>, despite consistencies with the soft meson limit. We further recommend the decay channel <sb:math xmlns:sb="http://www.w3.org/1998/Math/MathML" display="inline"><sb:msubsup><sb:mi mathvariant="normal">Ξ</sb:mi><sb:mrow><sb:mi>c</sb:mi><sb:mi>c</sb:mi></sb:mrow><sb:mo>+</sb:mo></sb:msubsup><sb:mo stretchy="false">→</sb:mo><sb:msubsup><sb:mi mathvariant="normal">Ξ</sb:mi><sb:mi>c</sb:mi><sb:mn>0</sb:mn></sb:msubsup><sb:msup><sb:mi>π</sb:mi><sb:mo>+</sb:mo></sb:msup><sb:mo stretchy="false">→</sb:mo><sb:msup><sb:mi mathvariant="normal">Ξ</sb:mi><sb:mo>−</sb:mo></sb:msup><sb:msup><sb:mi>π</sb:mi><sb:mo>+</sb:mo></sb:msup><sb:msup><sb:mi>π</sb:mi><sb:mo>+</sb:mo></sb:msup><sb:msup><sb:mi>π</sb:mi><sb:mo>+</sb:mo></sb:msup><sb:msup><sb:mi>π</sb:mi><sb:mo>−</sb:mo></sb:msup></sb:math> for exploring evidence of <zb:math xmlns:zb="http://www.w3.org/1998/Math/MathML" display="inline"><zb:msubsup><zb:mi mathvariant="normal">Ξ</zb:mi><zb:mrow><zb:mi>c</zb:mi><zb:mi>c</zb:mi></zb:mrow><zb:mo>+</zb:mo></zb:msubsup></zb:math>, estimating the branching fraction at <cc:math xmlns:cc="http://www.w3.org/1998/Math/MathML" display="inline"><cc:mo stretchy="false">(</cc:mo><cc:mn>1.1</cc:mn><cc:mo>±</cc:mo><cc:mn>0.6</cc:mn><cc:mo stretchy="false">)</cc:mo><cc:mo>×</cc:mo><cc:msup><cc:mn>10</cc:mn><cc:mrow><cc:mo>−</cc:mo><cc:mn>3</cc:mn></cc:mrow></cc:msup></cc:math>. Published by the American Physical Society 2024

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