Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory

Abstract

The anti-kaon nucleon scattering lengths resulting from a Hamiltonian effective field theory analysis of experimental data and lattice QCD studies are presented. The same Hamiltonian is then used to compute the scattering length for the $K^{-}d$ system, taking careful account of the effects of recoil on the energy at which the $\bar{K}N$ T-matrices are evaluated. These results are then used to estimate the shift and width of the $1S$ levels of anti-kaonic hydrogen and deuterium. The $K^{-}p$ result is in excellent agreement with the SIDDHARTA measurement. In the $K^{-}d$ case the imaginary part of the scattering length and consequently the width of the $1S$ state are considerably larger than found in earlier work. This is a consequence of the effect of recoil on the energy of the $\bar{K}N$ energy, which enhances the role of the $\Lambda (1405)$ resonance.

arXiv comment7 pages, 3 figures, published version

References in corpus (34)

• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Strangeness in nuclear physics
• A New Measurement of Kaonic Hydrogen X rays
• SU(3) Chiral Dynamics with Coupled Channels: Eta and Kaon Photoproduction
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Spectrum and decays of kaonic hydrogen
• 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
• Kaonic hydrogen X-ray measurement in SIDDHARTA
• Chiral unitary approach to the K^- deuteron scattering length
• Isolating the Λ(1405) in Lattice QCD
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1535)$ resonance in lattice QCD
• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• On the isospin 0 and 1 resonances from $\pi \Sigma$ photoproduction data
• A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states
• A finite-volume matrix Hamiltonian model for a Delta -> nucleon-pion system
• Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
• Kaon-nucleon scattering lengths from kaonic deuterium experiments revisited
• Structure of the $\mathbf{\Lambda }(1405)$ from Hamiltonian effective field theory
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• Prediction of triple-charm molecular pentaquarks
• Structure of the Roper Resonance from Lattice QCD Constraints
• The pole structure of the Lambda(1405) in a recent QCD simulation
• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. I. Low-energy $K^{-}d$ scattering and antikaonic deuterium
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• On kaonic deuterium. Quantum field theoretic and relativistic covariant approach
• N* Spectroscopy from Lattice QCD: The Roper Explained
• Recoil corrections in antikaon-deuteron scattering
• Measurement of the strong interaction induced shift and width of the 1s state of kaonic deuterium at J-PARC
• Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ potentials
• Three-body calculation of the $1s$ level shift in kaonic deuterium
• Kaon-Deuteron Scattering at Low Energies

Cited by in corpus (7)

• Kaon-proton strong interaction at low relative momentum via femtoscopy in Pb-Pb collisions at the LHC
• Pole position of $\Lambda (1405)$ measured in $d(K^{-},n)\pi \Sigma$ reactions
• Pion Photoproduction off Nucleon with Hamiltonian Effective Field Theory
• Pion photoproduction of nucleon excited states with Hamiltonian effective field theory
• New type of hydrogenlike charm-pion or charm-kaon matter
• Kaon-deuteron femtoscopy from unitarized chiral interactions
• On the width of the $K^{-}$D atom ground state