Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle

Abstract

From a Faddeev calculation for the $\pi -(\Delta \rho {)}_{N_{5/2^{-}}(1675)}$ system we show the plausible existence of three dynamically generated $I(J^P)=3/2(5/2^{+})$ baryon states below 2.3 GeV whereas only two resonances, ${\Delta }_{5/2^{+}}(1905)(\ast \ast \ast \ast )$ and ${\Delta }_{5/2^{+}}(2000)(\ast \ast ),$ are cataloged in the Particle Data Book Review. Our results give theoretical support to data analyses extracting two distinctive resonances, ${\Delta }_{5/2^{+}}(\sim 1740)$ and ${\Delta }_{5/2^{+}}(\sim 2200),$ from which the mass of ${\Delta }_{5/2^{+}}(2000)(\ast \ast )$ is estimated. We propose that these two resonances should be cataloged instead of ${\Delta }_{5/2^{+}}(2000).$ This proposal gets further support from the possible assignment of the other baryon states found in the approach in the $I=1/2,3/2$ with $J^P=1/2^{+},3/2^{+},5/2^{+}$ sectors to known baryonic resonances. In particular, ${\Delta }_{1/2^{+}}(1750)(\ast )$ is naturally interpreted as a $\pi N_{1/2^{-}}(1650)$ bound state.

13 pages, 7 figures

References in corpus (31)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Baryon spectroscopy
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance
• Low lying axial-vector mesons as dynamically generated resonances
• Low lying S=-1 excited baryons and chiral symmetry
• $S=-1$ Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) Resonances
• Evidence for the two pole structure of the Lambda(1405) resonance
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Origin of resonances in the chiral unitary approach
• Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings
• Baryon Resonance Extraction from piN Data using a Unitary Multichannel Model
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Disentangling the dynamical origin of P11 Nucleon Resonances
• Chiral unitary approach to the K^- deuteron scattering length
• Energy dependence of barKN interactions and resonance pole of strange dibaryons
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states
• Dynamically generated resonances from the vector octet-baryon decuplet interaction
• On the scattering length of the K^- d system
• An explanation of the ${\Delta }_{5/2^{-}}(1930)$ as a $\rho \Delta$ bound state
• $K\Lambda (1405)$ configuration of the $K\bar{K}N$ system
• On the nature of the K*2(1430), K*3(1780), K*4(2045), K*5(2380) and K*6 as K*--multi-rho states
• Meson-baryon threshold effects in the light-quark baryon spectrum
• Baryon Resonances

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