Where is the next pentaquark state?

A bstract The LHCb Collaboration has observed two types of hidden-charm pentaquark states $$ {P}_{\psi}^N $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>ψ</mml:mi> <mml:mi>N</mml:mi> </mml:msubsup> </mml:math> and $$ {P}_{\psi s}^{\Lambda} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>ψs</mml:mi> <mml:mi>Λ</mml:mi> </mml:msubsup> </mml:math> since 2015. In this work, we predict two other types of hidden-charm pentaquark states $$ {P}_{\psi s}^{\Sigma} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>ψs</mml:mi> <mml:mi>Σ</mml:mi> </mml:msubsup> </mml:math> (4367) and $$ {P}_{\psi ss}^N $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>ψss</mml:mi> <mml:mi>N</mml:mi> </mml:msubsup> </mml:math> (4379) within the framework of heavy pentaquark chiral perturbation theory. We suggest the LHCb Collaboration to observe $$ {P}_{\psi ss}^N $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>ψss</mml:mi> <mml:mi>N</mml:mi> </mml:msubsup> </mml:math> (4379) 0 and $$ {P}_{\psi ss}^N $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>ψss</mml:mi> <mml:mi>N</mml:mi> </mml:msubsup> </mml:math> (4379) − with J P = $$ {\frac{1}{2}}^{-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> <mml:mo>−</mml:mo> </mml:msup> </mml:math> in the J / ψ Ξ spectrum through amplitude analyses of $$ {\Omega}_b^{-} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>Ω</mml:mi> <mml:mi>b</mml:mi> <mml:mo>−</mml:mo> </mml:msubsup> </mml:math> → J / ψ Ξ 0 K − decays and $$ {B}^{-}\to J/\psi {\Xi}^{-}\overline{\Lambda} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>B</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:mo>→</mml:mo> <mml:mi>J</mml:mi> <mml:mo>/</mml:mo> <mml:mi>ψ</mml:mi> <mml:msup> <mml:mi>Ξ</mml:mi> <mml:mo>−</mml:mo> </mml:msup> <mml:mover> <mml:mi>Λ</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> decays.