372 research outputs found

    Relativistic Stern-Gerlach Interaction in an RF Cavity

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    The general expression of the Stern-Gerlach force is deduced for a relativistic spin-1/2 particle which travels inside a time varying magnetic field. This result was obtained either by means of two Lorentz boosts or starting from Dirac's equation. Then, the utilization of this interaction for attaining the spin states separation is reconsidered in a new example using a new radio-frequency arrangement.Comment: 12 pages, 4 figure

    Quantum-like approach to the transversal and longitudinal beam dynamics: The halo problem

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    An interpretation of the formation of halo in accelerators based on quantum-like theory by a diffraction model is given in terms of the transversal beam motion. Physical implications of the longitudinal dynamics are also examined

    Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD

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    Starting from the relation between the kinetic energy of a free Levy-Schroedinger particle and the logarithmic characteristic of the underlying stochastic process, we show that it is possible to get a precise relation between renormalizable field theories and a specific Levy process. This subsequently leads to a particular cut-off in the perturbative diagrams and can produce a phenomenological mass spectrum that allows an interpretation of quarks and leptons distributed in the three families of the standard model.Comment: 8 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1008.425

    Stern-gerlach force on a precessing magnetic moment

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    Use of the Stern-Gerlach force for attaining the spin- states separation of a particle beam is reconsidered in a new method where the magnetic moments are made to precess, at variance with a previously considered case where the magnetic moment conserves its direction in space
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