<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>ψ</mml:mi><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>4338</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> pentaquark and its partners in the molecular picture
Mao-Jun Yan, Fang‐Zheng Peng, Mario Sánchez Sánchez, Manuel Pavón Valderrama
Abstract
The LHCb collaboration has detected a new hidden-charm pentaquark with the quantum numbers of a $\mathrm{\ensuremath{\Lambda}}$ baryon: the ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4338)$. This pentaquark will be interpreted as a ${\overline{D}}_{s}{\mathrm{\ensuremath{\Lambda}}}_{c}\ensuremath{-}\overline{D}{\mathrm{\ensuremath{\Xi}}}_{c}$ resonance within a contact-range theory. Here we briefly comment on the relation of the new ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4338)$ with the ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4459)$. We find that the ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4338)$ and ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4459)$ both accept a common description in terms of the same parameters, which predicts the existence of a few additional ${P}_{\ensuremath{\psi}}^{N}$, ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}$, ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Sigma}}}$, and ${P}_{\ensuremath{\psi}ss}^{\mathrm{\ensuremath{\Xi}}}$ molecular pentaquarks composed of a charmed antimeson and an antitriplet charmed baryon. The most robust of these predicted pentaquarks is a ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}$ with a mass in the $(4235--4255)\text{ }\text{ }\mathrm{MeV}$ range, while other two interesting ones are a ${P}_{\ensuremath{\psi}}^{N}(4150)$ and a ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Sigma}}}(4335)$, the latter basically at the same mass as the ${P}_{\ensuremath{\psi}s}^{\mathrm{\ensuremath{\Lambda}}}(4338)$, with which it might mix owing to isospin symmetry breaking effects.