8,841 research outputs found

    Solutions of Conformal Turbulence on a Half Plane

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    Exact solutions of conformal turbulence restricted on a upper half plane are obtained. We show that the inertial range of homogeneous and isotropic turbulence with constant enstrophy flux develops in a distant region from the boundary. Thus in the presence of an anisotropic boundary, these exact solutions of turbulence generalize Kolmogorov's solution consistently and differ from the Polyakov's bulk case which requires a fine tunning of coefficients. The simplest solution in our case is given by the minimal model of p=2,q=33p=2, q=33 and moreover we find a fixed point of solutions when p,qp,q become large.Comment: 10pages, KHTP-93-07, SNUCTP-93-3

    Legal Bills That Make Sense: A Case of a Strategic Pricing DSS

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    The complexity and heterogeneity of today\u27s world have resulted in an increasingly litigious society which finds a growing need for more lawyers. In the midst of such growth, many law firms are challenged by their clients over their legal bills. Problematic billing practices are not a secret in the law practitioners\u27 circle [4][7][10][16]. The amount of legal fees paid to a lawyer is typically determined by such factors as the lawyer\u27s specialty, education, experience, title, and reputation. Although clients would hire a law firm that would charge less, the cost alone is not a deciding factor when selecting attorneys, which implies that a low price or a good pricing strategy may not be a core competence [11][12] for a law firm. Nevertheless, a good pricing strategy coupled with reliable analytical techniques remains an important business factor. Take legal fee disputes for instance. As the demographics of clients shift from individuals to corporations, more clients can afford the financial and human resources to fight their legal bills [1][2][5][7][10][22]. This trend calls for a serious reconsideration on how to structure and determine legal fees, not simply because of disputes and nuisance but because the billing process must be approached from a strategic point of view so that legal bills may make sense for both the law firms and the clients. In the law practitioner\u27s community, numerous forums are being reported surrounding the issue of how to structure legal fees [13][17][18][24]. This phenomenon clearly indicates two facts: (i) there is no consensus among law practitioners on how legal fees should be determined, and (ii) a \u27system\u27 or a rational model of fee determination is acutely in need. While various methods are currently employed by law practitioners for different types of services, they can be categorized into a few groups. The most popular billing method is called \u27hourly billing.\u27 Legal fees are calculated by multiplying a predetermined hourly rate by the number of hours the lawyer spends on the case. While law firms find it inadequate to set fees arbitrarily (which they do), surveys confirm that this billing method is predominant [8][24]. As this approach was found inappropriate in some special cases, several alternative billing methods were introduced. Such alternative methods are often referred to as \u27value billing.\u27 Three commonly used value billingapproaches are: fixed fees, unconventional time-based billing, and result-based billin

    Pion-photon and photon-pion transition form factors in light-cone formalism

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    We derive the minimal Fock-state expansions of the pion and the photon wave functions in light-cone formalism, then we calculate the pion-photon and the photon-pion transition form factors of γπ0γ\gamma ^{\ast}\pi ^{0}\to \gamma and γγπ0\gamma ^{\ast}\gamma \to \pi ^{0} processes by employing these quark-antiquark wave functions of the pion and the photon. We find that our calculation for the γγπ0\gamma ^{\ast}\gamma \to \pi ^{0} transition form factor agrees with the experimental data at low and moderately high energy scale. Moreover, the physical differences and inherent connections between the transition form factors of γπ0γ\gamma ^{\ast}\pi ^{0}\to \gamma and γγπ0 \gamma ^{\ast}\gamma \to \pi ^{0} have been illustrated, which indicate that these two physical processes are intrinsically related. In addition, we also discuss the π0γγ\pi ^{0}\to \gamma \gamma form factor and the decay width Γ(πγγ) \mathit{\Gamma}(\pi \to \gamma \gamma) at Q2=0Q^{2}=0.Comment: 20 pages, 2 figure

    Axial vector form factor of nucleons in a light-cone diquark model

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    The nucleon axial vector form factor is investigated in a light-cone quark spectator diquark model, in which Melosh rotations are applied to both the quark and vector diquark. It is found that this model gives a very good description of available experimental data and the results have very little dependence on the parameters of the model. The relation between the nucleon axial constant and the anomalous magnetic moment of nucleons is also discussed.Comment: 8 pages, Revtex4, 1 figure, version to be published in Phys. Rev.

    Heavy quarkonium 2S states in light-front quark model

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    We study the charmonium 2S states ψ\psi' and ηc\eta_c', and the bottomonium 2S states Υ\Upsilon' and ηb\eta_b', using the light-front quark model and the 2S state wave function of harmonic oscillator as the approximation of the 2S quarkonium wave function. The decay constants, transition form factors and masses of these mesons are calculated and compared with experimental data. Predictions of quantities such as Br(ψγηc)(\psi' \to \gamma \eta_c') are made. The 2S wave function may help us learn more about the structure of these heavy quarkonia.Comment: 5 latex pages, final version for journal publicatio

    K^+ production in baryon-baryon and heavy-ion collisions

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    Kaon production cross sections in nucleon-nucleon, nucleon-delta and delta-delta interactions are studied in a boson exchange model. For the latter two interactions, the exchanged pion can be on-mass shell, only contributions due to a virtual pion are included via the Peierls method by taking into account the finite delta width. With these cross sections and also those for pion-baryon interactions, subthreshold kaon production from heavy ion collisions is studied in the relativistic transport model.Comment: to appear in Phys. Rev.

    Kaon differential flow in relativistic heavy-ion collisions

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    Using a relativistic transport model, we study the azimuthal momentum asymmetry of kaons with fixed transverse momentum, i.e., the differential flow, in heavy-ion collisions at beam momentum of 6 GeV/c per nucleon, available from the Alternating Gradient Synchrotron (AGS) at the Brookhaven National Laboratory (BNL). We find that in the absence of kaon potential the kaon differential flow is positive and increases with transverse momentum as that of nucleons. The repulsive kaon potential as predicted by theoretical models, however, reduces the kaon differetnial flow, changing it to negative for kaons with low momenta. Cancellation between the negative differential flow at low mementa and the positive one at high momenta is then responsible for the experimentally observed nearly vanishing in-plane transverse flow of kaons in heavy ion experiments.Comment: Phys. Rev. C in pres
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