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High precision measurements of kaonic hydrogen x rays and also, for the first time, of kaonic deuterium are under way within the DEAR project using the e ϩ e Ϫ storage ring at Frascati. The values of the strong interaction 1s level shift and width in kaonic deuterium cannot be simply predicted by relating them, via the Deser-Trueman formula, to the K Ϫ d scattering length because the latter is not known experimentally: it cannot be obtained by adding the K Ϫ p and K Ϫ n scattering lengths but involves the solution of a complicated multichannel three-body problem. We give results of calculations of the kaonic deuterium strong interaction shift and width using an (NK ,Y ) interaction (Y ϭ⌳,⌺) that fits the available low-energy scattering data. The 1s level shift in kaonic deuterium comes out negative and both the shift and the width are estimated to be about 1 keV. The 2p capture rate is estimated to be smaller than the 2 p→1s x-ray transition rate. This information is of importance for the planned experiment as it indicates that most of the kaons should reach the lowest 1s level. ͓S0556-2813͑99͒02307-9͔ PACS number͑s͒: 13.75. Jz, 25.80.Nv, 36.10.Gv

In view of recenl interest in the use of lhe Duffin-Kemmer-Peliau (DW relatiVistic equation, we consider some of ils properlies which are needed for practical calculalions. We also address the unresolved problem of the spinless DKP bmon in a central field and derive lhe system of lint-order coupled differential radial equations which enable the energy eigenvalues as well as the full wavefunctions to be evaluated.As an example we calculate the free DKP spherical wayes and then solve the problem of a pionic atom wilh a point Coulomb Interaction only.

We describe low-energy kaon-nucleon scattering by generalizing the cloudy bag model (CBM) to SU(3) chiral symmetry. We restrict our attention to I = 0, s-wave scattering. We obtain a reasonable fit to both the Zn cross section in the region of the A*(1405) and low-energy kaon-nucleon scattering.

In view of current interest in the use of the Duffin–Kemmer–Petiau (DKP) relativistic equation, the problem of the vector DKP boson in a central field is resolved and the system of first-order coupled differential radial equations needed for an exact calculation of the eigenvalues as well as the full ten-component spinor is derived. This is of practical importance for problems involving massive vector bosons in central fields. This formalism is applied to the free-particle, spherically symmetric square well and Coulomb problems.