Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction

Abstract

Role of the $\Lambda (1600)$ is studied in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction by using the effective Lagrangian approach near the threshold. We perform a calculation for the total and differential cross sections by considering the contributions from the $\Lambda (1600)$ and $\Lambda (1670)$ intermediate resonances decaying into ${\pi }^0{\Sigma }^{\ast 0}(1385)$ with ${\Sigma }^{\ast 0}(1385)$ decaying into ${\pi }^0\Lambda$. Besides, the non-resonance process from $u$-channel nucleon pole is also taken into account. With our model parameters, the current experimental data on the total cross sections of the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction can be well reproduced. It is shown that we really need the contribution from the $\Lambda (1600)$ with spin-parity $J^P=1/2^{+}$, and that these measurements can be used to determine some of the properties of the $\Lambda (1600)$ resonance. Furthermore, we also plot the ${\pi }^0\Lambda$ invariant mass distributions which could be tested by the future experimental measurements.

arXiv comment7 pages, 4 figures. Published version

References in corpus (35)

• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics of the Two Λ(1405) States
• Low lying S=-1 excited baryons and chiral symmetry
• Evidence for the two pole structure of the Lambda(1405) resonance
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Low lying $qqqq\bar{q}$ states in the baryon spectrum
• The role of $N^{\ast }(1535)$ in $pp\to pp\varphi$ and ${\pi }^{-}p\to n\varphi$ reactions
• The reaction pi+ p --> K+ Sigma+ in a unitary coupled-channels model
• Dynamical coupled-channels model of $K^{-}p$ reactions (I): Determination of partial-wave amplitudes
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Dynamical coupled-channels model of $K^{-}p$ reactions (II): Extraction of ${\Lambda }^{\ast }$ and ${\Sigma }^{\ast }$ hyperon resonances
• $S=-1$ meson-baryon interaction and the role of isospin filtering processes
• Combined analysis of eta' production reactions: gamma N -> eta' N, N N -> N N eta', and pi N -> eta' N
• Further evidence for the ${\Sigma }^{\ast }$ resonance with $J^P=1/2^{-}$ around 1380 MeV
• Multichannel parametrization of $\bar{K}N$ scattering amplitudes and extraction of resonance parameters
• The role of the $N^{\ast }(2080)$ resonance in the $\vec{\gamma }p\to K^{+}\Lambda (1520)$ reaction
• Role of the ${\Lambda }_c^{+}(2940)$ in the ${\pi }^{-}p\to D^{-}{D}^{0}p$ reaction close to threshold
• Nucleon resonances in $\gamma p\to K^{\ast +}\Lambda$
• Partial-wave analysis of $\bar{K}N$ scattering reactions
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• The $K^{-}p\to \eta \Lambda$ reaction in an effective Lagrangian model
• Effects of $\Delta (1905)5/2^{+}$ on $K^{\ast }\Sigma$ photoproduction
• Chiral coupled channel dynamics of the Lambda(1520) and the K-P -> pi0 pi0 Lambda reaction
• S- and p-wave structure of $S=-1$ meson-baryon scattering in the resonance region
• The $K^{-}p\to {\Sigma }^0{\pi }^0$ reaction at low energies in a chiral quark model
• Role of the possible ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ state in the $\Lambda p\to \Lambda p{\pi }^0$ reaction
• Evidence for a narrow $D_{03}$ state in $K^{-}p\to \eta \Lambda$ near threshold
• Role of the ${\Delta }^{\ast }(1940)$ in the ${\pi }^{+}p\to K^{+}{\Sigma }^{+}(1385)$ and $pp\to n{K}^{+}{\Sigma }^{+}(1385)$ reactions
• Role of the $N^{\ast }(2080)$ in $pp\to p{K}^{+}\Lambda (1520)$ and ${\pi }^{-}p\to K^0\Lambda (1520)$ reactions
• 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
• Nucleon resonances in the ${\pi }^{-}p\to K^0\Lambda$ reaction near threshold
• The role of $a_1(1260)$ in ${\pi }^{-}p\to a_1^{-}(1260)p$ and ${\pi }^{-}p\to {\pi }^{-}{\rho }^{0}p$ reactions near threshold
• Role of $\Lambda (1670)$ in the $\gamma p\to K^{+}\eta \Lambda$ reaction near threshold
• $\bar{K}$ induced formation of the $f_0(980)$ and $a_0(980)$ resonances on proton targets
• Mechanism of $K^{-}p\to \eta \Lambda$ reaction near threshold