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  • 1
    Electronic Resource
    Electronic Resource
    Measurement of the 4f strong interaction level width in light antiprotonic atoms (1986)
    Springer
    The European physical journal 325 (1986), S. 261-265 
    Details
    ISSN: 1434-601X
    Keywords: 36.10.Gv ; 13.75.Cs
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The yields of the atomic 4→3 transitions in antiprotonic14N,16,17,18O,19F, and23Na were measured at the CERN antiproton facility, LEAR. From these, the widths Γup of the 4f levels were determined to be 136±19meV (14N); 603±22 meV (16O); 731±35 meV (17O); 795±23 meV (18O); 2.79±0.16 eV (19F); and 23.8±7.4 eV (23Na).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01294606
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  • 2
    Electronic Resource
    Electronic Resource
    First direct observation of strong interaction spin-orbit effects in antiprotonic atoms (1988)
    Springer
    The European physical journal 329 (1988), S. 235-241 
    Details
    ISSN: 1434-601X
    Keywords: 36.10.Gv ; 13.75.Cs
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The strong ¯p-nucleus spin-orbit interaction was investigated in a measurement of the strong-interaction effects of the 9→8 transition in ¯p 174Yb at the Low-Energy Antiproton Ring (LEAR) at CERN. This measurement was part of an experimental programme where, for the first time, the fine-structure components of the last observable X-ray transition in a ¯p atom, which carries information on the strong ¯p-nucleus interaction, were resolved and studied individually. The observed splitting ΔE exp=2408±26 eV consists of the electromagnetic fine-structure splitting ΔE FS=2350 eV and an additional splitting Δɛ=58±26 eV. In addition, one finds a significant difference in the level widths of Δ=195±59 eV with the larger value⇊=1216±41 eV for the lower fine-structure level. This experiment follows an earlier measurement on ¯p 138Ba, where the transition 8→7 is influenced by the strong interaction. In this case, however, the fine-structure components could not be resolved. The results for174Yb may be attributed to a spin-orbit (LS) term in the complex strong-interaction potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01283780
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  • 3
    Electronic Resource
    Electronic Resource
    On spline collocation methods for boundary integral equations in the plane (1985)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 7 (1985), S. 74-89 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: Nowadays boundary elemen; methods belong to the most popular numerical methods for solving elliptic boundary value problems. They consist in the reduction of the problem to equivalent integral equations (or certain generalizations) on the boundary Γ of the given domain and the approximate solution of these boundary equations. For the numerical treatment the boundary surface is decomposed into a finite number of segments and the unknown functions are approximated by corresponding finite elements and usually determined by collocation and Galerkin procedures. One finds the least difficulties in the theoretical foundation of the convergence of Galerkin methods for certain classes of equations, whereas the convergence of collocation methods, which are mostly used in numerical computations, has yet been proved only for special equations and methods.In the present paper we analyse spline collocation methods on uniform meshes with variable collocation points for one-dimensional pseudodifferential equations on a closed curve with convolutional principal parts, which encompass many classes of boundary integral equations in the plane. We give necessary and sufficient conditions for convergence and prove asymptotic error estimates. In particular we generalize some results on nodal and midpoint collocation obtained in [2], [7] and [8].The paper is organized as follows. In Section 1 we formulate the problems and the results, Section 2 deals with spline interpolation in periodic Sobolev spaces, and in Section 3 we prove the convergence theorems for the considered collocation methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670070105
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