Studying the bound state of the $K^{-}p$ system in the Bethe-Salpeter formalism

Abstract

We study the $s$-wave kaon-nucleon bound state with the strangeness $S=-1$ in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. We solve the Bethe-Salpeter equation of the bound state and obtain the Bethe-Salpeter amplitude. It is shown that the $K^{-}p$ bound state exists in this formalism. We also study the decay width of the bound state based on the Bethe-Salpeter techniques. The mass of this bound state is 1422 MeV and its decay width is obviously smaller than that of $\Lambda (1405)$. These results indicate that there may be some other structures in the observed resonance.

arXiv comment7 pages, 4 Figures

References in corpus (19)

• Non perturbative chiral approach to s-wave \bar{K}N interactions
• 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
• Chiral Dynamics of the Two Λ(1405) States
• Chiral perturbation theory
• A New Measurement of Kaonic Hydrogen X rays
• The nature of the Lambda(1405) resonance in chiral dynamics
• Chiral SU(3) theory of antikaon-nucleon interactions with improved threshold constraints
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Improved constraints on chiral SU(3) dynamics from kaonic hydrogen
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Kaonic hydrogen X-ray measurement in SIDDHARTA
• Isgur-Wise Function for ${\Lambda }_b\to {\Lambda }_c$ in B-S Approach
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Electromagnetic form factors of ${\Lambda }_b$ in the Bethe-Salpeter equation approach
• Calculation of 1/m^{2}_{b} corrections to <Λ_{b}(v,s)|\bar{b}γ^λγ_{5}b|Λ_{b}(v,s)> for polarized Λ_{b} in the Bethe-Salpeter equation approach

Cited by in corpus (5)

• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Possible open-charmed pentaquark molecule ${\Omega }_c(3188)$ --- the $D\Xi$ bound state --- in the Bethe-Salpeter formalism
• Analyzing $\Xi (1620)$ in the molecule picture in the Bethe-Salpeter equation approach
• Electromagnetic form factors of ${\Lambda }_c$ in the Bethe-Salpeter equation approach