$K^{-}d\to \pi \Lambda N$ reaction for studying charge symmetry breaking in the $\Lambda N$ interaction

Abstract

We discuss charge symmetry breaking in the $\Lambda N$ interaction. In order to investigate the $\Lambda p$ and $\Lambda n$ interactions at low energies, we propose to utilize the $K^{-}d\to {\pi }^{-}\Lambda p$ and $K^{-}d\to {\pi }^0\Lambda n$ reactions. They are symmetric under the exchange of both the pion and nucleon isospin partners in the final states. This advantage allows us to study charge symmetry breaking in the $\Lambda N$ interaction. We calculate the differential cross sections of these reactions with stopped kaons theoretically and discuss the possibility to extract the scattering length and effective range of the $\Lambda N$ scattering. With stopped kaons, the $\Lambda N$ interaction takes place dominantly in the spin-triplet state thanks to the deuteron spin and $s$-wave dominance of the scattering amplitudes at the low energy. We find that the ratio of the differential cross sections as a function of the $\Lambda N$ invariant mass between the two reactions is useful for revealing how charge symmetry breaking, or isospin symmetry breaking appears in the low-energy $\Lambda N$ scattering.

arXiv comment13 pages, 19 figures, 1table

References in corpus (35)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• Soft-core hyperon-nucleon potentials
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• The nature of the Lambda(1405) resonance in chiral dynamics
• Hyperon-nucleon interaction at next-to-leading order in chiral effective field theory
• Low lying S=-1 excited baryons and chiral symmetry
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• The Juelich hyperon-nucleon model revisited
• Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings
• Hyperon-nucleon interaction within chiral effective field theory revisited
• Observation of Lambda H-4 hyperhydrogen by decay-pion spectroscopy in electron scattering
• Observation of Spin-Dependent Charge Symmetry Breaking in $\Lambda N$ Interaction: Gamma-Ray Spectroscopy of ${}_{\Lambda }^4$He
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Extended-soft-core Baryon-Baryon Model Esc08 II. Hyperon-Nucleon Interactions
• Detailed Analysis of the Chiral Unitary Model for Meson-Baryon Scattering with Flavor SU(3) Breaking Effects
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Hyperon-nuclear interactions from SU(3) chiral effective field theory
• Leading order relativistic hyperon-nucleon interactions in chiral effective field theory
• Hyperon Single-Particle Potentials Calculated from SU6 Quark-Model Baryon-Baryon Interactions
• Hyperon Masses in Nuclear Matter
• Hyperon-nucleon scattering and hyperon masses in the nuclear medium
• Strangeness $S=-1$ hyperon-nucleon scattering in covariant chiral effective field theory
• Strangeness $S=-1$ hyperon-nucleon interactions: chiral effective field theory vs. lattice QCD
• High resolution study of the Lambda p final state interaction in the reaction p + p -> K+ + (Lambda p)
• The $K^{-}d\to \pi \Sigma n$ reaction revisited
• Kaon induced Lambda(1405) production on a deuteron target at DAFNE
• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
• Lambda-nucleon scattering in baryon chiral perturbation theory
• Production of hyperon resonances induced by kaon on a deuteron target
• Study of the $\Lambda p$ Interaction Close to the ${\Sigma }^{+}n$ and ${\Sigma }^{0}p$ Thresholds
• Measurement of $\Gamma (K_{\mu 3})/\Gamma (K_{e3})$ ratio using stopped positive kaons
• Performance of a CsI(Tl) calorimeter in an experiment with stopped K+'s

Cited by in corpus (1)

• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction