Investigating ${\eta }_1^{\prime }(1855)$ exotic states in $J/\psi \to {\eta }_1^{\prime }(1855){\eta }^{(\prime )}$ decays

Abstract

An analysis of the $J/\psi \to \eta {\eta }^{\prime }\gamma$ decay by the BESIII collaboration claims the observation of an exotic state ${\eta }_1(1855)$ with $I^G{J}^{PC}=0^{+}{1}^{-+}$. To establish its C-parity partner ${\eta }_1^{\prime }(1855)$ in the picture of the $K{\bar{K}}_1(1400)$ molecular state, we propose that $J/\psi \to {\eta }_1^{\prime }(1855){\eta }^{(\prime )}$ receives the main contributions from the final state interaction of $K{K}^{\ast }$($K^{+}{K}^{\ast -}$, $K^{-}{K}^{\ast +}$, $K^0{\bar{K}}^{\ast 0}$, and ${\bar{K}}^0{K}^{\ast 0}$). Specifically, $K$ and $K^{\ast }$ in $J/\psi \to K{K}^{\ast }$ decays transform as ${\eta }_1^{\prime }(1855){\eta }^{(\prime )}$, by exchanging a $K_1(1400)$. We predict $\mathcal{B}(J/\psi \to {\eta }_1^{\prime }(1855)\eta )=(6.3_{-3.5}^{+12.6})\times 10^{-6}$, and $\mathcal{B}(J/\psi \to {\eta }_1^{\prime }(1855){\eta }^{\prime })=(6.5_{-4.6}^{+6.6})\times 10^{-6}$, which can be studied in the $J/\psi \to K^{\ast }{\bar{K}}^{\ast }{\eta }^{(\prime )}$ decays.

Accepted by Physics Letters B

References in corpus (12)

• On the spectral functions of scalar mesons
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Resonant $a_0(980)$ state in triangle rescattering $D_s^{+}\to {\pi }^{+}{\pi }^0\eta$ decays
• Possible structure of the newly found exotic state ${\eta }_1(1855)$
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• The phenomenology of the exotic hybrid nonet with ${\pi }_1(1600)$ and ${\eta }_1(1855)$
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• Analysis of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)$ molecular state
• Propagator poles and an emergent stable state below threshold: general discussion and the E(38) state
• The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• New $X_{0,1}(2900)$-like exotic states in $b$-baryon decays

Cited by in corpus (4)

• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• A phenomenological estimate of rescattering effects in $B_s\to K^{\ast 0}{\bar{K}}^{\ast 0}$
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$