317 research outputs found

    Iso-spectral deformations of general matrix and their reductions on Lie algebras

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    We study an iso-spectral deformation of general matrix which is a natural generalization of the Toda lattice equation. We prove the integrability of the deformation, and give an explicit formula for the solution to the initial value problem. The formula is obtained by generalizing the orthogonalization procedure of Szeg\"{o}. Based on the root spaces for simple Lie algebras, we consider several reductions of the hierarchy. These include not only the integrable systems studied by Bogoyavlensky and Kostant, but also their generalizations which were not known to be integrable before. The behaviors of the solutions are also studied. Generically, there are two types of solutions, having either sorting property or blowing up to infinity in finite time.Comment: 25 pages, AMSLaTe

    Photon and Z induced heavy charged lepton pair production at a hadron supercollider

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    We investigate the pair production of charged heavy leptons via photon-induced processes at the proposed CERN Large Hadron Collider (LHC). Using effective photon and Z approximations, rates are given for L+LL^+L^- production due to γγ\gamma \gamma fusion and ZγZ \gamma fusion for the cases of inelastic, elastic and semi-elastic pppp collisions. These are compared with the corresponding rates for production via the gluon fusion and Drell-Yan mechanisms. Various γγ\gamma \gamma and ZγZ \gamma differential luminosities for pppp collisions are also presented.Comment: 22 pages, RevTex 3.0, 6 uuencoded and compressed postscript figures included. Reference to one paper changed from the original preprint number to the published version. Everything else unchange

    Where are the missing members of the baryon antidecuplet?

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    We analyze what consequences has the observation of exotic pentaquark baryons on the location of the non-exotic baryons belonging to the antidecuplet. We suggest that there must be a new nucleon state at 1650-1690 MeV and a new Sigma baryon at 1760-1810 MeV.Comment: 5 pages, 1 figure. Missing reference adde

    Photon-Photon Luminosities in Relativistic Heavy Ion Collisions at LHC Energies

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    Effective photon-photon luminosities are calculated for various realistic hadron collider scenarios. The main characteristics of photon-photon processes at relativistic heavy-ion colliders are established and compared to the corresponding photon-photon luminosities at electron-positron and future Photon Linear Colliders (PLC). Higher order corrections as well as inelastic processes are discussed. It is concluded that feasible high luminosity Ca-Ca collisions at the Large Hadron Collider (LHC) are an interesting option for photon-photon physics up to about 100 GeV photon-photon CM energy.Comment: REVTeX, 13 pages, 10 figures (uuencoded,compressed postscript

    An absolute polarimeter for high energy protons

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    A study of the spin asymmetries for polarized elastic proton proton collisions in the electromagnetic hadronic interference (CNI) region of momentum transfer provides a method of self calibration of proton polarization. The method can be extended to non-identical spin half scattering so that, in principle, the polarization of a proton may be obtained through an analysis of its elastic collision with a different polarized particle, helium 3 for instance. Sufficiently large CNI spin asymmetries provide enough information to facilitate the evaluation of nearly all the helicity amplitudes at small t as well as the polarization of both initial spin half fermions. Thus it can serve equally well as a polarimeter for helium 3

    Parity violating pion electroproduction off the nucleon

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    Parity violating (PV) contributions due to interference between γ\gamma and Z0Z^0 exchange are calculated for pion electroproduction off the nucleon. A phenomenological model with effective Lagrangians is used to determine the resulting asymmetry for the energy region between threshold and Δ(1232)\Delta(1232) resonance. The Δ\Delta resonance is treated as a Rarita-Schwinger field with phenomenological NΔN \Delta transition currents. The background contributions are given by the usual Born terms using the pseudovector πN\pi N Lagrangian. Numerical results for the asymmetry are presented.Comment: 17 pages, RevTeX, 6 figures (in separate file figs.uu), uses epsf, accepted for publication in Z. Phys.

    A Supersymmetric Stueckelberg U(1) Extension of the MSSM

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    A Stueckelberg extension of the MSSM with only one abelian vector and one chiral superfield as an alternative to an abelian extension with Higgs scalars is presented. The bosonic sector contains a new gauge boson Z' which is a sharp resonance, and a new CP-even scalar, which combines with the MSSM Higgs bosons to produce three neutral CP-even massive states. The neutral fermionic sector has two additional fermions which mix with the four MSSM neutralinos to produce an extended 6x6 neutralino mass matrix. For the case when the LSP is composed mostly of the Stueckelberg fermions, the LSP of the MSSM will be unstable, which leads to exotic decays of sparticles with many leptons in final states. Prospects for supersymmetry searches and for dark matter are discussed.Comment: 10 page

    Novel Transversity Properties in Semi-Inclusive Deep Inelastic Scattering

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    The TT-odd distribution functions contributing to transversity properties of the nucleon and their role in fueling nontrivial contributions to azimuthal asymmetries in semi-inclusive deep inelastic scattering are investigated. We use a dynamical model to evaluate these quantities in terms of HERMES kinematics.Comment: 5 pages revtex; 5 eps figures. References added. To appear as a Rapid Communication in Physical Review

    Chiral radiative corrections and D_s(2317)/D(2308) mass puzzle

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    We show that one loop chiral corrections for heavy-light mesons in potential model can explain the small mass of D_s(2317) as well as the small mass gap between D_s(2317) and D(2308).Comment: To appear in EPJC. A figure and references addede
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