The $K^{-}p\to {\Sigma }^0{\pi }^0$ reaction at low energies in a chiral quark model

Abstract

A chiral quark-model approach is extended to the study of the $\bar{K}N$ scattering at low energies. The process of $K^{-}p\to {\Sigma }^0{\pi }^0$ at $P_K\lesssim 800$ MeV/c (i.e. the center mass energy $W\lesssim 1.7$ GeV) is investigated. This approach is successful in describing the differential cross sections and total cross section with the roles of the low-lying $\Lambda$ resonances in $n=1$ shells clarified. The $\Lambda (1405)S_{01}$ dominates the reactions over the energy region considered here. Around $P_K\simeq 400$ MeV/c, the $\Lambda (1520)D_{03}$ is responsible for a strong resonant peak in the cross section. The $\Lambda (1670)S_{01}$ has obvious contributions around $P_K=750$ MeV/c, while the contribution of $\Lambda (1690)D_{03}$ is less important in this energy region. The non-resonant background contributions, i.e. $u$-channel and $t$-channel, also play important roles in the explanation of the angular distributions due to amplitude interferences.

18 pages and 7 figures

References in corpus (27)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• K^- p scattering length from scattering experiments
• Evidence for the two pole structure of the Lambda(1405) resonance
• Chiral dynamics of kaon-nucleon interactions, revisited
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Charmed baryon strong decays in a chiral quark model
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• Strong decays of heavy-light mesons in a chiral quark model
• Surprises in threshold antikaon-nucleon physics
• Photoproduction of Lambda(1405) and Sigma^{0}(1385) on the proton at E_γ= 1.5-2.4 GeV
• QCD sum rule approach for the light scalar mesons as four-quark states
• The role of $N^{\ast }(1535)$ in $pp\to pp\varphi$ and ${\pi }^{-}p\to n\varphi$ reactions
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• On the nature of the lowest $1/2^{-}$ baryon nonet and decuplet
• K^0 pi^0 Sigma^+ and K^*0 Sigma^+ photoproduction off the proton
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• The role of the $\Lambda (1405)$ in the $pp\to p{K}^{+}\Lambda (1405)$ reaction
• Study of π^{-}p \to ηn at low energies in a chiral constituent quark model
• Study of $\eta$ photoproduction on the proton in a chiral constituent quark approach via one-gluon-exchange model
• Cross Sections for the $\gamma p\to K^{\ast 0}{\Sigma }^{+}$ Reaction at $E_{\gamma }=1.7-3.0$ GeV
• The radiative decay of the $\Lambda (1405)$ and its two-pole structure
• Chiral coupled channel dynamics of the Lambda(1520) and the K-P -> pi0 pi0 Lambda reaction
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• Quarks, diquarks and QCD mixing in the $N^{\ast }$ resonance spectrum
• Aspects of Strangeness -1 Meson-Baryon Scattering
• Testing the nature of the $\Lambda$(1520) in the $J/\psi \to \bar{\Lambda }{K}^{-}p$ and $J/\psi \to \bar{\Lambda }{\pi }^{+}{\pi }^{-}\Lambda$ reactions

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• The $K^{-}p\to \eta \Lambda$ reaction in an effective Lagrangian model
• Role of five-quark components in radiative and strong decays of the Lambda(1405) resonance
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• Evidence for a narrow $D_{03}$ state in $K^{-}p\to \eta \Lambda$ near threshold
• Neutral pion photoproduction on the nucleon in a chiral quark model
• Low energy reactions $K^{-}p\to {\Sigma }^0{\pi }^0$, $\Lambda {\pi }^0$, ${\bar{K}}^{0}n$ and the strangeness $S=-1$ hyperons
• Analysis of the Crystal Ball data on $K^{-}p\to {\pi }^0{\Sigma }^0$ reaction with center-of-mass energies of $1536\sim 1676$ MeV
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Combined analysis of the ${\pi }^{-}p\to K^0\Lambda$, $\eta n$ reactions in a chiral quark model
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• Quark model study of the $\pi N\to \pi N$ reactions up to the $N(1440)$ resonance region
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Radiative transitions of charmonium states in a constituent quark model
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays