<p>The LHCb Collaboration has observed two types of hidden-charm pentaquark states <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>P</mi> <mi>ψ</mi> <mi>N</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {P}_{\psi}^N \)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>P</mi> <mi mathvariant="italic">ψs</mi> <mi mathvariant="normal">Λ</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {P}_{\psi s}^{\Lambda} \)</EquationSource> </InlineEquation> since 2015. In this work, we predict two other types of hidden-charm pentaquark states <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>P</mi> <mi mathvariant="italic">ψs</mi> <mi mathvariant="normal">Σ</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {P}_{\psi s}^{\Sigma} \)</EquationSource> </InlineEquation> (4367) and <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>P</mi> <mi mathvariant="italic">ψss</mi> <mi>N</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {P}_{\psi ss}^N \)</EquationSource> </InlineEquation> (4379) within the framework of heavy pentaquark chiral perturbation theory. We suggest the LHCb Collaboration to observe <InlineEquation ID="IEq5"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>P</mi> <mi mathvariant="italic">ψss</mi> <mi>N</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {P}_{\psi ss}^N \)</EquationSource> </InlineEquation> (4379)<sup>0</sup> and <InlineEquation ID="IEq6"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>P</mi> <mi mathvariant="italic">ψss</mi> <mi>N</mi> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {P}_{\psi ss}^N \)</EquationSource> </InlineEquation> (4379)<sup>−</sup> with <i>J</i><sup><i>P</i></sup> = <InlineEquation ID="IEq7"> <EquationSource Format="MATHML"><math display="inline"> <msup> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>−</mo> </msup> </math></EquationSource> <EquationSource Format="TEX">\( {\frac{1}{2}}^{-} \)</EquationSource> </InlineEquation> in the <i>J</i>/<i>ψ</i>Ξ spectrum through amplitude analyses of <InlineEquation ID="IEq8"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>Ω</mi> <mi>b</mi> <mo>−</mo> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {\Omega}_b^{-} \)</EquationSource> </InlineEquation> → <i>J</i>/<i>ψ</i>Ξ<sup>0</sup><i>K</i><sup>−</sup> decays and <InlineEquation ID="IEq9"> <EquationSource Format="MATHML"><math display="inline"> <msup> <mi>B</mi> <mo>−</mo> </msup> <mo>→</mo> <mi>J</mi> <mo>/</mo> <mi>ψ</mi> <msup> <mi mathvariant="normal">Ξ</mi> <mo>−</mo> </msup> <mover accent="true"> <mi mathvariant="normal">Λ</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( {B}^{-}\to J/\psi {\Xi}^{-}\overline{\Lambda} \)</EquationSource> </InlineEquation> decays.</p>

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Where is the next pentaquark state?

  • Hao-Song Li,
  • Tao Li

摘要

The LHCb Collaboration has observed two types of hidden-charm pentaquark states P ψ N \( {P}_{\psi}^N \) and P ψs Λ \( {P}_{\psi s}^{\Lambda} \) since 2015. In this work, we predict two other types of hidden-charm pentaquark states P ψs Σ \( {P}_{\psi s}^{\Sigma} \) (4367) and P ψss N \( {P}_{\psi ss}^N \) (4379) within the framework of heavy pentaquark chiral perturbation theory. We suggest the LHCb Collaboration to observe P ψss N \( {P}_{\psi ss}^N \) (4379)0 and P ψss N \( {P}_{\psi ss}^N \) (4379) with JP = 1 2 \( {\frac{1}{2}}^{-} \) in the J/ψΞ spectrum through amplitude analyses of Ω b \( {\Omega}_b^{-} \) J/ψΞ0K decays and B J / ψ Ξ Λ ¯ \( {B}^{-}\to J/\psi {\Xi}^{-}\overline{\Lambda} \) decays.