9,602 research outputs found

    The reaction πNππN\pi N \to \pi \pi N at threshold in chiral perturbation theory

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    In the framework of heavy baryon chiral perturbation theory, we give thIn the framework of heavy baryon chiral perturbation theory, we give the chiral expansion for the πNππN\pi N \to \pi \pi N threshold amplitudes D1D_1 and D2D_2 to quadratic order in the pion mass. The theoretical results agree within one standard deviation with the empirical values. We also derive a relation between the two threshold amplitudes of the reaction πNππN\pi N \to \pi \pi N and the ππ\pi \pi S--wave scattering lengths, a00a_0^0 and a02a_0^2, respectively, to order O(Mπ2){\cal O}(M_\pi^2). We show that there are uncertainties mostly related to resonance excitation which make an accurate determination of the ππ\pi \pi scattering length a00a_0^0 from the ππN\pi \pi N threshold amplitudes at present very difficult. The situation is different in the ππ\pi \pi isospin two final state. Here, the chiral series converges and one finds a02=0.031±0.007a_0^2 = -0.031 \pm 0.007 consistent with the one--loop chiral perturbation theory prediction.Comment: 30 pp, LaTeX file, uses epsf, 6 figures (appended), corrections in sections 5 and 6, conclusions unchange

    Weight Vectors of the Basic A_1^(1)-Module and the Littlewood-Richardson Rule

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    The basic representation of \A is studied. The weight vectors are represented in terms of Schur functions. A suitable base of any weight space is given. Littlewood-Richardson rule appears in the linear relations among weight vectors.Comment: February 1995, 7pages, Using AMS-Te

    Comment on "Two Phase Transitions in the Fully frustrated XY Model"

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    The conclusions of a recent paper by Olsson (Phys. Rev. Lett. 75, 2758 (1995), cond-mat/9506082) about the fully frustrated XY model in two dimensions are questioned. In particular, the evidence presented for having two separate chiral and U(1) phase transitions are critically considered.Comment: One page one table, to Appear in Physical Review Letter

    Training materials for different categories of users

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    Agricultural and Food Policy, Environmental Economics and Policy, Farm Management, Land Economics/Use, Production Economics, Teaching/Communication/Extension/Profession,

    Vortex dynamics for two-dimensional XY models

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    Two-dimensional XY models with resistively shunted junction (RSJ) dynamics and time dependent Ginzburg-Landau (TDGL) dynamics are simulated and it is verified that the vortex response is well described by the Minnhagen phenomenology for both types of dynamics. Evidence is presented supporting that the dynamical critical exponent zz in the low-temperature phase is given by the scaling prediction (expressed in terms of the Coulomb gas temperature TCGT^{CG} and the vortex renormalization given by the dielectric constant ϵ~\tilde\epsilon) z=1/ϵ~TCG22z=1/\tilde{\epsilon}T^{CG}-2\geq 2 both for RSJ and TDGL and that the nonlinear IV exponent a is given by a=z+1 in the low-temperature phase. The results are discussed and compared with the results of other recent papers and the importance of the boundary conditions is emphasized.Comment: 21 pages including 15 figures, final versio

    From scalar to string confinement

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    We outline a connection between scalar quark confinement, a phenomenologically successful concept heretofore lacking fundamental justification, and QCD. Although scalar confinement does not follow from QCD, there is an interesting and close relationship between them. We develop a simple model intermediate between scalar confinement and the QCD string for illustrative purposes. Finally, we find the bound state masses of scalar, time-component vector, and string confinement analytically through semi-classical quantization.Comment: ReVTeX, 9 pages, 5 figure

    Semi-leptonic B decays into higher charmed resonances

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    We apply HQET to semi-leptonic BB meson decays into a variety of excited charm states. Using three realistic meson models with fermionic light degrees of freedom, we examine the extent that the sum of exclusive single charmed states account for the inclusive semi-leptonic BB decay rate. The consistency of form factors with the Bjorken and Voloshin sum rules is also investigated.Comment: Latex, 27 pages. A few references and errors corrected, to appear in Phys. Rev.
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