A case in favor of the $N^{\ast }(1700)(3/2^{-})$

Abstract

Using an interaction extracted from the local hidden gauge Lagrangians, which brings together vector and pseudoscalar mesons, and the coupled channels $\rho N$ (s-wave), $\pi N$ (d-wave), $\pi \Delta$ (s-wave) and $\pi \Delta$ (d-wave), we look in the region of $\sqrt{s}=1400-1850$ MeV and we find two resonances dynamically generated by the interaction of these channels, which are naturally associated to the $N^{\ast }(1520)(3/2^{-})$ and $N^{\ast }(1700)(3/2^{-})$. The $N^{\ast }(1700)(3/2^{-})$ appears neatly as a pole in the complex plane. The free parameters of the theory are chosen to fit the $\pi N$ (d-wave) data. Both the real and imaginary parts of the $\pi N$ amplitude vanish in our approach in the vicinity of this resonance, similarly to what happens in experimental determinations, what makes this signal very weak in this channel. This feature could explain why this resonance does not show up in some experimental analyses, but the situation is analogous to that of the $f_0(980)$ resonance, the second scalar meson after the $\sigma (f_0(500))$ in the $\pi \pi$(d-wave) amplitude. The unitary coupled channel approach followed here, in connection with the experimental data, leads automatically to a pole in the 1700 MeV region and makes this second $3/2^{-}$ resonance unavoidable.

References in corpus (8)

• Unitary Isobar Model - MAID2007
• Extended Partial-Wave Analysis of piN Scattering Data
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Interaction of vector mesons with baryons and nuclei
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Vector meson-Baryon dynamics and generation of resonances

Cited by in corpus (9)

• The role of vector-baryon channels and resonances in the $\gamma p\to K^0{\Sigma }^{+}$ and $\gamma n\to K^0{\Sigma }^0$ reactions near the $K^{\ast }\Lambda$ threshold
• Description of the ${\Xi }_c$ and ${\Xi }_b$ states as molecular states
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Production of $N^{\ast }(1535)$ and $N^{\ast }(1650)$ in ${\Lambda }_c\to {\bar{K}}^0\eta p$ $(\pi N)$ decay
• A study of the $KN$-$K^{\ast }N$ coupled systems
• The width of the omega meson in the nuclear medium
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Understanding the 1P- and 2S-wave nucleon resonances within the extended Lee-Friedrichs Model