The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system

Abstract

We study the $\pi \pi N$ system by solving the Faddeev equations, for which the input two-body $t$-matrices are obtained by solving the Bethe-Salpeter equation in the coupled channel formalism. The potentials for the $\pi \pi$, $\pi N$ sub-systems and their coupled channels are obtained from chiral Lagrangians, which have been earlier used to study resonances in these systems successfully. In this work, we find a resonance in the $\pi \pi N$ system with a mass of $1704-i375/2$ MeV and with quantum numbers $I=1/2$, $J^{\pi }=1/2^{+}$. We identify this state with the $N^{\ast }(1710)$. This peak is found where the energies of the $\pi \pi$ sub-system fall in the region of the $\sigma$ resonance. We do not find evidence for the Roper resonance in our study indicating a more complex structure for this resonance, nor for any state with total isospin $I=3/2$ or $5/2$.

References in corpus (37)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Chiral Dynamics in Nucleons and Nuclei
• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Diquarks and Exotic Spectroscopy
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Exotic Anti-Decuplet of Baryons: Prediction from Chiral Solitons
• Chiral perturbation theory
• The Spectrum of the Nucleons and the Strange Hyperons and Chiral Dynamics
• Meson-Meson interaction in a non-perturbative chiral approach
• Extended Partial-Wave Analysis of piN Scattering Data
• Resurrection of the Sigma Meson
• A low-lying scalar meson nonet in a unitarized meson model
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• What is the structure of the Roper resonance?
• A Structure at 2175 MeV in $e^{+}{e}^{-}\to \varphi f_0(980)$ Observed via Initial-State Radiation
• Dispersion Relation Constrained Partial Wave Analysis of piN Elastic and piN\to\etaN Scattering Data: The Baryon Spectrum
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• The $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^0{\pi }^0$ and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections Measured with Initial-State Radiation
• pi N --> eta N and eta N --> eta N partial wave T-matrices in a coupled, three channel model
• Nonstrange and other unitarity partners of the exotic Theta+ baryon
• Three body resonances in two meson-one baryon systems
• Experimental Search for Pentaquarks
• $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ reaction
• A consistent explanation of the Roper phenomenology
• Is the Theta+ a K pi N bound state?
• Dynamical coupled-channel model of kaon-hyperon interactions
• The piN --> etaN data demand the existence of N(1710) P11 resonance reducing the 1700 MeV continuum ambiguity
• Strong Pionic Decays From a Spectroscopic Quark Model
• The two pion decay of the Roper resonance
• Three-body hadronic structure of low-lying $1/2^{+}$ $\Sigma$ and $\Lambda$ resonances
• Mesonic Content of the Nucleon and the Roper Resonance
• Two-meson cloud contribution to the baryon antidecuplet binding
• The re-analysis of the 1700 MeV structure of the P11 partial wave using the piN->KLambda production data
• Present status of the nonstrange and other flavor partners of the exotic Theta+ baryon

Cited by in corpus (60)

• Pentaquark and Tetraquark states
• Dynamically generated resonances from the vector octet-baryon octet interaction
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• Interaction of vector mesons with baryons and nuclei
• Dynamically generated open charmed baryons beyond the zero range approximation
• The Y(4260) as a $J/\psi K\bar{K}$ system
• Coupling vector and pseudoscalar mesons to study baryon resonances
• The $\bar{K}NN$ system with chiral dynamics
• Vector meson-Baryon dynamics and generation of resonances
• $DK$, $DDK$, and $DDDK$ molecules--understanding the nature of the $D_{s0}^{\ast }(2317)$
• Searching for signatures around 1920 MeV of a $N^{\ast }$ state of three hadron nature
• An explanation of the ${\Delta }_{5/2^{-}}(1930)$ as a $\rho \Delta$ bound state
• Bayesian inference of the resonance content of p(gamma,K^+)Lambda
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• Limits to the Fixed Center Approximation to Faddeev equations: the case of the $\varphi (2170)$
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• A Bayesian analysis of kaon photoproduction with the Regge-plus-resonance model
• $K\Lambda (1405)$ configuration of the $K\bar{K}N$ system
• Strong decays of baryons and missing resonances
• Magnetic moments of the low-lying {1/2}^- octet baryon resonances
• Few-body systems consisting of mesons
• Theoretical study of the $KK\bar{K}$ system and dynamical generation of the K(1460) resonance
• Bound state formation in the $DDK$ system
• $NDK$, $\bar{K}DN$ and $ND\bar{D}$ molecules
• A new perspective on the Faddeev equations and the $\bar{K}NN$ system from chiral dynamics and unitarity in coupled channels
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with S=0
• Theoretical support for the $\pi (1300)$ and the recently claimed $f_0(1790)$ as molecular resonances
• Negative parity $\Lambda$ and $\Sigma$ resonances coupled to pseudoscalar and vector mesons
• Study of the $DKK$ and $DK\bar{K}$ systems
• ${\gamma }^{\ast }N\to N(1710)$ transition at high momentum transfer
• Magnetic moments of the low-lying $J^P=1/2^{-}$, $3/2^{-}$ $\Lambda$ resonances within the framework of the chiral quark model
• Final state interaction in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$ with $K\pi$ I=1/2 and 3/2 channels
• Coupled channel Faddeev calculations of a (Kbar-N-pi) quasibound state
• Study of $X_c(3250)$ as a $D_0^{\ast }(2400)N$ molecular state
• Predicting the existence of a 2.9 GeV $D{f}_0(980)$ molecular state
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• States of $\rho B^{\ast }{\bar{B}}^{\ast }$ with $J=3$ within the Fixed Center Approximation to Faddeev equations
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• A study of the $KN$-$K^{\ast }N$ coupled systems
• The width of the omega meson in the nuclear medium
• Searching for exotic states in the $N\pi K$ system
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium
• Nucleon resonances in the ${\pi }^{-}p\to K^0\Lambda$ reaction near threshold
• Baryon Resonances
• Review on dynamically generated resonances
• rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$
• $\bar{K}$ induced formation of the $f_0(980)$ and $a_0(980)$ resonances on proton targets
• Two, three, many body systems involving mesons
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• Three-body hadron systems with strangeness
• States generated in the $K$-multi-$\rho$ interactions
• Vector- and Pseudoscalar-baryon coupled channel systems
• Drawbacks of applying perturbative schemes to meson spectroscopy
• A new N* resonance as a hadronic molecular state
• Delta rho pi interaction leading to N* and Delta* resonances
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity