Study of the hidden-heavy pentaquarks and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:math> states

Abstract

Inspired by the recently observed resonance states <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msubsup><a:mi>P</a:mi><a:mrow><a:mi>ψ</a:mi><a:mi>s</a:mi></a:mrow><a:mi mathvariant="normal">Λ</a:mi></a:msubsup><a:mo stretchy="false">(</a:mo><a:mn>4338</a:mn><a:msup><a:mo stretchy="false">)</a:mo><a:mn>0</a:mn></a:msup></a:math> and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:msub><f:mi>P</f:mi><f:mrow><f:mi>c</f:mi><f:mi>s</f:mi></f:mrow></f:msub><f:mo stretchy="false">(</f:mo><f:mn>4459</f:mn><f:msup><f:mo stretchy="false">)</f:mo><f:mn>0</f:mn></f:msup></f:math> by LHCb Collaboration in <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"><j:mi>J</j:mi><j:mo>/</j:mo><j:mi>ψ</j:mi><j:mi mathvariant="normal">Λ</j:mi></j:math> decay channel, we perform a systematical study of all possible hidden-heavy pentaquarks with strangeness <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>S</m:mi><m:mo>=</m:mo><m:mn>0</m:mn><m:mo>,</m:mo><m:mo>−</m:mo><m:mn>1</m:mn><m:mo>,</m:mo><m:mo>−</m:mo><m:mn>2</m:mn><m:mo>,</m:mo><m:mo>−</m:mo><m:mn>3</m:mn></m:math>, in unified framework of MIT bag model. The color-spin wave functions in terms of Young-Yamanouchi bases and transformed into baryon-meson couplings are utilized to calculate masses, magnetic moments, and relative partial widths of the hidden-heavy pentaquarks, suggesting that the observed <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:msubsup><o:mi>P</o:mi><o:mrow><o:mi>ψ</o:mi><o:mi>s</o:mi></o:mrow><o:mi mathvariant="normal">Λ</o:mi></o:msubsup><o:mo stretchy="false">(</o:mo><o:mn>4338</o:mn><o:msup><o:mo stretchy="false">)</o:mo><o:mn>0</o:mn></o:msup></o:math> is likely to be a <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:mn>1</t:mn><t:mo>/</t:mo><t:msup><t:mn>2</t:mn><t:mo>−</t:mo></t:msup></t:math> compact <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:msub><v:mi>P</v:mi><v:mrow><v:mi>c</v:mi><v:mi>s</v:mi></v:mrow></v:msub></v:math> pentaquark, and the <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:msub><x:mi>P</x:mi><x:mrow><x:mi>c</x:mi><x:mi>s</x:mi></x:mrow></x:msub><x:mo stretchy="false">(</x:mo><x:mn>4459</x:mn><x:msup><x:mo stretchy="false">)</x:mo><x:mn>0</x:mn></x:msup></x:math> favors two-peak structure of <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:mn>3</bb:mn><bb:mo>/</bb:mo><bb:msup><bb:mn>2</bb:mn><bb:mo>−</bb:mo></bb:msup></bb:math> and <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"><db:mn>1</db:mn><db:mo>/</db:mo><db:msup><db:mn>2</db:mn><db:mo>−</db:mo></db:msup></db:math> <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:msub><fb:mi>P</fb:mi><fb:mrow><fb:mi>c</fb:mi><fb:mi>s</fb:mi></fb:mrow></fb:msub></fb:math> states. Our computation indicates that hidden-heavy pentaquarks have the masses around 4.35–4.90 GeV for the <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msub><hb:mi>P</hb:mi><hb:mrow><hb:mi>c</hb:mi><hb:mi>s</hb:mi></hb:mrow></hb:msub></hb:math>, 11.21–11.67 GeV for the <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:msub><jb:mi>P</jb:mi><jb:mrow><jb:mi>b</jb:mi><jb:mi>s</jb:mi></jb:mrow></jb:msub></jb:math>, 4.73–5.02 GeV for the <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:msub><lb:mi>P</lb:mi><lb:mrow><lb:mi>c</lb:mi><lb:mi>s</lb:mi><lb:mi>s</lb:mi></lb:mrow></lb:msub></lb:math>, and 11.54–11.77 GeV for the <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"><nb:msub><nb:mi>P</nb:mi><nb:mrow><nb:mi>b</nb:mi><nb:mi>s</nb:mi><nb:mi>s</nb:mi></nb:mrow></nb:msub></nb:math>. Published by the American Physical Society 2024

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