Hidden-strange molecular states and the $N\varphi$ bound state via a QCD van der Waals force

Abstract

In this work, we study the hidden-strange molecular states composed of a baryon and a vector meson in a coupled-channel $N\rho -N\omega -N\varphi -\Lambda K^{\ast }-\Sigma K^{\ast }$ interaction. With the help of the effective Lagrangians which coupling constants are determined by the SU(3) symmetry, the interaction is constructed and inserted into the quasipotential Bethe-Salpeter equation to search for poles in the complex plane, which correspond to molecular states. Two poles are found with a spin parity $3/2^{-}$ near the $N\rho$ and the $\Sigma K^{\ast }$ thresholds, which can be related to the $N(1700)$ and the $N(2100)$, respectively. No pole near the $N\varphi$ threshold can be found if direct interaction between a nucleon and $\varphi$ meson is neglected according to the OZI rule. After introducing the QCD van der Waals force between a nucleon and $\varphi$ meson, a narrow state can be produced near the $N\varphi$ threshold. Inclusion of the QCD van der Waals force changes the line shape of the invariant mass spectrum in the $N\varphi$ channel leading to a worse agreement with the present low-precision data. Future experiments at BelleII, JLab, and other facilities will be very helpful to clarify the existence of these possible hidden-strange molecular states.

6 pages, 1 figure. Version to be published in Phys. Rev. D. Comparison with the Belle experiment is added

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Cited by in corpus (10)

• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Molecular picture for $X_0(2900)$ and $X_1(2900)$
• Photoproduction of hidden-bottom pentaquark and related topics
• Spectrum of the molecular pentaquarks
• Y(4626) as a molecular state from interaction $D_s^{\ast }{\bar{D}}_{s1}(2536)-D_s{\bar{D}}_{s1}(2536)$
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Investigate the pentaquark resonance in the $NK$ system
• Subthreshold production of $J/\psi$ mesons from the deuteron with SoLID
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram