Energy Level Displacement of Excited np State of Kaonic Deuterium In Faddeev Equation Approach

الأصل · EN

We calculate the energy level displacement of the excited np state of kaonic deuterium in terms of the P-wave scattering length of K-d scattering. We solve the Faddeev equations for the amplitude of K-d scattering in the fixed centre approximation and derive the complex P-wave scattering length of K-d scattering in terms of the S-wave and P-wave scattering lengths of KN scattering. The estimated uncertainty of the complex P-wave scattering length is of about 15%. For the calculated width Γ₂ₚ = 10.203 meV of the excited 2p state of kaonic deuterium we evaluate the yield Yₖ₋d = 0.27% of X-rays for the Kα emission line of kaonic deuterium. Using the complex S-wave and P-wave scattering lengths of KN scattering, calculated in ECL1,Weise1, we get the width Γ₂ₚ = 2.675 meV of the excited 2p state and the yield Yₖ₋d = 1.90 % of X-rays for the Kα emission line of kaonic deuterium. The results, obtained in this paper, can be used for the planning of experiments on the measurements of the energy level displacement of the ground state of kaonic deuterium, caused by strong low-energy interactions.