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

Abstract

The $\Lambda N$ invariant mass spectra for the reactions $K^{-}d\to {\pi }^{-}\Lambda p$ and $K^{-}d\to {\pi }^0\Lambda n$ are calculated for experimental study of isospin symmetry breaking in the $\Lambda N$ scattering at low energies, the difference in the scattering lengths and effective ranges of $\Lambda p$ and $\Lambda n$ systems. The calculations are performed for in-flight kaons with a momentum of 1000 MeV/c with employing partial wave analysis up to the p-wave for meson-baryon amplitudes and the spin-flip term for baryon-baryon amplitudes. Kinematic selection is utilized to suppress the background processes by selecting forward-emitting pions and higher momentum nucleons. It is worth noting that isospin symmetry breaking in the $\Lambda N$ system can be extracted from the difference of the $\Lambda N$ invariant mass spectra between the $K^{-}d\to {\pi }^{-}\Lambda p$ and $K^{-}d\to {\pi }^0\Lambda n$ reactions.

15 pages, 9 figures

References in corpus (15)

• Hyperon-nucleon interactions - a chiral effective field theory approach
• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• Constraints on the chiral unitary $\bar{K}N$ amplitude from $\pi \Sigma K^{+}$ photoproduction data
• Observation of Lambda H-4 hyperhydrogen by decay-pion spectroscopy in electron scattering
• Kaonic production of Lambda(1405) off deuteron target in chiral dynamics
• Three-body Unitarity with Isobars Revisited
• Dynamical coupled-channels model of $K^{-}p$ reactions (I): Determination of partial-wave amplitudes
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• 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
• Recoil corrections in antikaon-deuteron scattering
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• First Model-Independent Measurement of the Spin Triplet $p\Lambda$ Scattering Length from Final State Interaction in the $\vec{p}p\to p{K}^{+}\Lambda$ Reaction
• Measurement of ${}_{\mathrm{\Lambda }}^4\mathrm{H}$ and ${}_{\mathrm{\Lambda }}^4\mathrm{He}$ binding energy in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV
• $K^{-}d\to \pi \Lambda N$ reaction for studying charge symmetry breaking in the $\Lambda N$ interaction