Constraining the mass and width of the $N^{\ast }(1685)$ resonance

Abstract

We have examined the existence of the $N^{\ast }(1685)$ resonance, which is recently listed by the Particle Data Group as a one-star nucleon resonance, by using a covariant isobar model for kaon photoproduction and assuming that the resonance has $J^p=1/2^{+}$, in accordance with our previous finding. After the inclusion of this resonance the changes in the total ${\chi }^2$ show two clear minima at $M_{N^{\ast }}=1650$ and 1696 MeV, which correspond to two different resonance states. The former corresponds to the narrow nucleon resonance found in our previous investigation, whereas the latter corresponds to a new resonance found as we increase the resonance width. From the latter we derive the mass and width relation of the $N^{\ast }(1685)$ resonance. We observe that the properties of both the $N^{\ast }(1685)$ and $N^{\ast }(1710)P_{11}$ resonances are strongly correlated. Although the best fit of the present work yields $M_{N^{\ast }}=1696$ MeV and ${\Gamma }_{N^{\ast }}=76$ MeV, the apparently small $N^{\ast }(1710)P_{11}$ coupling constant to the $K^{+}\Lambda$ channel found in previous investigations suggests that ${\Gamma }_{N^{\ast }}\lesssim 35$ MeV, which, according to the mass and width relation, corresponds to $M_{N^{\ast }}\lesssim 1680$ MeV.

10 pages, 4 figures

References in corpus (6)

• Extended Partial-Wave Analysis of piN Scattering Data
• Quasi-free photoproduction of eta-mesons of the neutron
• Kaon photoproduction in a multipole approach
• Evidence for Narrow N*(1685) Resonance in Quasifree Compton Scattering on the Neutron
• Origin of the second peak in the cross section of the $K^{+}\Lambda$ photoproduction
• Evidence for the J^p=1/2^+ narrow state at 1650 MeV in the photoproduction of KLambda

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• Generalized Rainich conditions, generalized stress-energy conditions, and the Hawking-Ellis classification
• Extracting the pole and Breit-Wigner properties of nucleon and $\Delta$ resonances from the $\gamma N\to K\Sigma$ photoproduction
• $K^0\Lambda$ photoproduction off the neutron with nucleon resonances
• The type III stress-energy tensor: Ugly Duckling of the Hawking-Ellis classification
• Effects of nucleon resonances on $\eta$ photoproduction off the neutron reexamined
• Hawking-Ellis type III spacetime geometry
• New Narrow $N(1685)$ and $N(1726)$? Remarks on the Interpretation of the Neutron Anomaly as an Interference Phenomenon
• New narrow nucleon resonances $N^{\ast }(1685)$ and $N^{\ast }(1726)$ within the chiral quark-soliton model