Kaonic Deuterium in Excited States

01.07.2007 - 30.06.2011
Research funding project
Experimental measurements of the energy level displacements of the ground states of kaonic hydrogen and kaonic deuterium, which are planned by the SMI (The Stefan Meyer Institute of Subatomic Physics of the Austrian Academy of Sciences) in the content of the DEAR/SIDDHARTA Collaboration on the end of 2006 year and the beginning of 2007 year, should give new constraints on the S-wave scattering amplitude of a negatively charged Kaon by the proton and the deuteron at threshold. The main experimental tool for the measurements of the energy level displacements of the ground states of kaonic atoms is the detection of radiative (X-ray) transitions from the excited states to the ground state of kaonic atoms. The knowledge of the energy level displacements of the excited states nearest to the ground state is very important for the theoretical analysis of the X-ray spectra and yields. The former is necessary for the correct extraction of the energy level displacements of the ground states from the experimental spectra of the X-ray transitions. Theoretical analysis of the experimental data by the DEAR Collaboration, carried out within the "Phenomenological quantum field theoretic model of low-energy anti-kaon nucleon interactions" has shown complete agreement between experimental data and the theoretical values of the S-wave and the P-wave scattering amplitudes of a negatively charged kaon by the deuteron at threshold. Application of this model to the description of the S-wave scattering amplitude of a negatively charged kaon by the deuteron at threshold has led to a reasonable result for the energy level displacement of the ground state of kaonic deuterium, which has been used for the planning experiments by the DEAR/SIDDHARTA Collaborations. The imaginary part of the S-wave scattering amplitude of a negatively charged kaon by the deuteron has been predicted in terms of the two-body inelastic channels. Since the three-body inelastic channels dominate, the result obtained in terms of the two-body inelastic channels should be corroborated in terms of the three-body inelastic channels. For the correct analysis of the experimental data on the X-ray spectra one needs to know the energy level displacement of the excited nP states of kaonic deuterium. Theheoretical analysis of the energy level displacement of the nP excited states can be carried out only in terms of the three-body inelastic channels with the negatively charged kaon and the deuteron in the P-wave state. Therefore, the theoretical analysis of the imaginary part of the S-wave scattering amplitude of a negatively charged kaon by the deuteron in terms of the three-body inelastic channels is of great deal of importance for the correct description of the P-wave amplitude. Therefore, the main aims of the project are to calculate (i) the width of the energy level of the ground state of kaonic deuterium caused by three-body inelastic channels of scattering a negatively charged kaon by the deuteron at threshold and (ii) the energy level displacement of the excited nP states of kaonic deuterium. The theoretical basis for this analysis are Effective Chiral Lagrangians and the effective quark model with chiral U(3)xU(3) symmetry, as a low-energy approximation of QCD.

People

Project leader

Project personnel

Institute

Grant funds

  • FWF - Österr. Wissenschaftsfonds (National) Austrian Science Fund (FWF)

Research focus

  • Quantum Modeling and Simulation: 50%
  • Quantum many-body systems: 50%

Keywords

GermanEnglish
Kaonisches DeuteriumKaonic Deuterium
Chirale StörungstheorieChiral perturbation theory

Publications