Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks

Abstract

In this work, we investigate the possibility of interpreting two nucleon resonances, the $N(1875)$ and the $N(2100)$, as hadronic molecular states from the ${\Sigma }^{\ast }K$ and $\Sigma K^{\ast }$ interactions, respectively. With the help of effective Lagrangians in which coupling constants are determined by the SU(3) symmetry, the ${\Sigma }^{\ast }K$ and $\Sigma K^{\ast }$ interactions are described by the vector-meson and pseudoscalar-meson exchanges. With the one-boson-exchange potential obtained, bound states from the ${\Sigma }^{\ast }K$ and $\Sigma K^{\ast }$ interactions are searched for in a quasipotential Bethe-Saltpeter equation approach. A bound state with quantum number $I(J^P)=1/2(3/2^{-})$ is produced from the ${\Sigma }^{\ast }K$ interaction, which can be identified as the $N(1875)$ listed in PDG. It can be seen as a strange partner of the LHCb pentaquark $P_c(4380)$ with the same quantum numbers in the molecular state picture. The $\Sigma K^{\ast }$ interaction also produces a bound state with quantum number $I(J^P)=1/2(3/2^{-})$, which is related to experimentally observed $N(2100)$ in the $\varphi$ photoproduction. Our results suggest that the $N(2120)$ observed in the $K\Lambda (1520)$ photoproduction and the $N(2100)$ observed in the $\varphi$ photoproduction have different origins. The former is a conventional three-quark state while the latter is a $\Sigma K^{\ast }$ molecular state, which can be seen as a strange partner of the $P_c(4450)$ with different spin parity.

8 pages, 1 figures. Published version

References in corpus (15)

• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Diffractive $\varphi$-meson photoproduction on proton near threshold
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• Understanding spin parity of $P_c(4450)$ and $Y(4274)$ in a hadronic molecular state picture
• The role of the $N^{\ast }(2080)$ resonance in the $\vec{\gamma }p\to K^{+}\Lambda (1520)$ reaction
• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
• Measurement of Spin-Density Matrix Elements for $\varphi$-Meson Photoproduction from Protons and Deuterons Near Threshold
• The nature of Lambda(1405) hyperon resonance in chiral dynamics
• Theoretical study of the $\Lambda$(1520) photoproduction off proton target based on the new CLAS data
• Near-threshold Photoproduction of Phi Mesons from Deuterium
• On the near-threshold incoherent $\varphi$ photoproduction on the deuteron: any trace of a resonance?

Cited by in corpus (38)

• Pentaquark and Tetraquark states
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Molecular picture for $X_0(2900)$ and $X_1(2900)$
• Triangular singularity and a possible $\varphi p$ resonance in the ${\Lambda }_c^{+}\to {\pi }^0\varphi p$ decay
• $Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction
• Strong Decay of $P_c(4380)$ Pentaquark in a Molecular Picture
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Decay behavior of the strange and beauty partners of $P_c$ hadronic molecules
• Photoproduction of hidden-bottom pentaquark and related topics
• Hidden Bottom Pentaquark States with Spin 3/2 and 5/2
• Y(4626) as a molecular state from interaction $D_s^{\ast }{\bar{D}}_{s1}(2536)-D_s{\bar{D}}_{s1}(2536)$
• Possible Molecular Pentaquark States with Different Spin and Quark Configurations
• $P_c$-like pentaquarks in hidden strange sector
• Analysis of recent CLAS data on $f_1(1285)$ photoproduction
• Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction
• Hidden-bottom molecular states from ${\Sigma }_b^{(\ast )}{B}^{(\ast )}-{\Lambda }_b{B}^{(\ast )}$ interaction
• Study on possible molecular states composed of ${\Lambda }_c\bar{D}$ (${\Lambda }_{b}B$) and ${\Sigma }_c\bar{D}$ (${\Sigma }_{b}B$) within the Bethe-Salpeter framework
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Hidden-strange molecular states and the $N\varphi$ bound state via a QCD van der Waals force
• Towards the decay properties of deuteron-like state $d_{N\Omega }$
• Analyzing $\Xi (1620)$ in the molecule picture in the Bethe-Salpeter equation approach
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Systematical study of ${\Omega }_c$-like molecular states from interactions ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{K}}^{(\ast )}$ and ${\Xi }^{(\ast )}{D}^{(\ast )}$
• Possible molecular states from the $N\Delta$ interaction
• Decay patterns of low-lying $N_{s\bar{s}}$ states to the strangeness channels
• Possible molecular states from interactions of charmed baryons
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• Production potential of hidden-strange molecular pentaquarks through the ${\pi }^{-}p\to K^{\ast }\Sigma$ process
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• Decay behavior of hidden-strange hadronic molecular state $N(2270)$
• Production of dibaryon $d_{N\Omega }$ in kaon induced reactions
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Producing $\Lambda (1405)$ and $\Lambda (1520)$ in ${\pi }^{-}p$ reaction to explore their inner structures
• Baryons and baryoniums in the perspective of QCD sum rules
• Strange pentaquark molecules in QCD sum rules
• $\Xi$(2030) and $\Xi$(2120) as ${\bar{K}}^{\ast }\Sigma$ molecular states