Theoretical study of $N(1535)$ and ${\Sigma }^{\ast }(1/2^{-})$ in the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$

Abstract

Motivated by the recent experimental measurements, we have investigated the Cabibbo-favored process ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$, where the $N(1535)$ resonance is dynamically generated from the $S$-wave pseudoscalar meson-octet baryon interactions within the chiral unitary approach. The contributions from the intermediate $N(1650)$ and the predicted low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ are also considered. In addition, a Breit-Wigner amplitude for the $N(1535)$ resonance is checked. By comparing with the measured $\eta p$, ${\bar{K}}^0\eta$, and $p{\bar{K}}^0$ invariant mass squared distributions, our results support the interpretation of $N(1535)$ as a dynamically generated state. Furthermore, we demonstrate that, with the contribution from ${\Sigma }^{\ast }(1/2^{-})$ taken into account, the calculated invariant mass spectrum agrees with the Belle measurements. Future precise measurements of the ${\Lambda }_c^{+}\to p{\bar{K}}^0\eta$ process can further elucidate the existence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$.

10 pages, 5 figures, the version of publication in PRD

References in corpus (22)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• The role of $N^{\ast }(1535)$ in $pp\to pp\varphi$ and ${\pi }^{-}p\to n\varphi$ reactions
• Evidence for a new ${\Sigma }^{\ast }$ resonance with $J^P=1/2^{-}$ in the old data of $K^{-}p\to \Lambda {\pi }^{+}{\pi }^{-}$ reaction
• On the nature of the lowest $1/2^{-}$ baryon nonet and decuplet
• Cross-channel constraints on resonant antikaon-nucleon scattering
• The scalar $f_0(500)$ and $f_0(980)$ resonances and vector mesons in the single Cabibbo-suppressed decays ${\Lambda }_c\to p{K}^{+}{K}^{-}$ and $p{\pi }^{+}{\pi }^{-}$
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• The role of $N^{\ast }(1535)$ in ${\eta }^{\prime }$ production
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• The role of the N*(1535) resonance and the pi^- p --> KY amplitudes in the OZI forbidden pi N --> phi N reaction
• Role of the $N^{\ast }$(1535) in the $J/\psi \to \bar{p}\eta p$ and $J/\psi \to \bar{p}{K}^{+}\Lambda$ reactions
• Evidence of the low-lying baryon ${\Sigma }^{\ast }(1/2^{-})$ in the process ${\Lambda }_c^{+}\to \eta {\pi }^{+}\Lambda$
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• Measurement of Branching Fractions of ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$, $\eta {\Sigma }^0{\pi }^{+}$, $\Lambda (1670){\pi }^{+}$, and $\eta \Sigma (1385{)}^{+}$
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• Photoproduction of ${\Lambda }^{\ast }$ and ${\Sigma }^{\ast }$ resonances with $J^P=1/2^{-}$ off the proton
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Pion Photoproduction off Nucleon with Hamiltonian Effective Field Theory
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state

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• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to {\pi }^0{\pi }^0{\bar{K}}^0$
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays