Negative parity $\Lambda$ and $\Sigma$ resonances coupled to pseudoscalar and vector mesons

Abstract

An exploration of the dynamically generated $\Lambda$ and $\Sigma$ resonances has been made in the vector meson-baryon (VB) systems coupled to pseudoscalar meson-baryon (PB) channels. The VB interactions are obtained from the Lagrangians written within the hidden local symmetry which, in addition to Yukawa-type vector-baryon-baryon (VBB) vertices, naturally gives rise to a contact interaction. Using the VBB vertices, we calculate the $t$-, $s$- and $u$-channel diagrams considering the octet baryon exchange in the latter two cases. For the PB channels we rely on the the Weingberg-Tomozawa interactions and calculate the PB $\leftrightarrow$ VB transition amplitudes extending the Kroll-Ruderman theorem by replacing the photon by the vector mesons. In addition to the low-lying $\Lambda (1405)$, $\Lambda (1670)$ found in previous works, we find resonances which coincide well with: $\Lambda (2000)$, $\Sigma (1750)S_{11}$, $\Sigma (1940)D_{13}$, $\Sigma (2000)S_{11}$ and predict three ${\Lambda }^{\ast }$'s with $J^{\pi }=3/2^{-}$ and masses: $1754-i2$ MeV, $1862-i33$ MeV, $2139-i14$ MeV together with a broad $1/2^{-}$ ${\Sigma }^{\ast }$ with mass $\sim$ 1430 MeV. We find that most of these next-to-low-lying states couple weakly with the pseudoscalar mesons, which implies that it is important to study the reactions with VB final states in order to obtain a reliable information on the properties of such resonances.

References in corpus (15)

• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Compositeness of dynamically generated states in a chiral unitary approach
• Three body resonances in two meson-one baryon systems
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• 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
• Effects of pseudoscalar-baryon channels in the dynamically generated vector-baryon resonances
• anti-K anti-K N molecule state in three-body calculation
• Vector meson-Baryon dynamics and generation of resonances
• An explanation of the ${\Delta }_{5/2^{-}}(1930)$ as a $\rho \Delta$ bound state
• F and D Values with Explicit Flavor Symmetry Breaking and Δs Contents of Nucleons
• Pseudoscalar-meson--octet-baryon coupling constants in two-flavor lattice QCD
• Aspects of Strangeness -1 Meson-Baryon Scattering
• Delta rho pi interaction leading to N* and Delta* resonances

Cited by in corpus (19)

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• Interaction of vector mesons with baryons and nuclei
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• 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
• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• Coupled-Channel Model for $\bar{K}N$ Scattering in the Resonant Region
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Why $\Xi (1690)$ and $\Xi (2120)$ are so narrow?
• 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
• Decay properties of $N^{\ast }(1895)$
• A case in favor of the $N^{\ast }(1700)(3/2^{-})$
• $J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays
• Heavy-quark spin symmetry for charmed and strange baryon resonances
• Exotic properties of N^*(1895) and its impact on photoproduction of light hyperons
• Strangeness and Charm in Nuclear Matter