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Nuclear Theory·nucl-th

Wednesday·November 22, 2017

12 papers—9 primary·3 cross-listed

All12Primary9Cross-lists3
  1. 10

    [Submitted on 16 Nov 2017] (cross-list from quant-ph)

    Relativistic particle in a box: Klein-Gordon vs Dirac Equations

    Pedro Alberto🇵🇹 · Saurya Das🇨🇦 · Elias C. Vagenas🇰🇼

    The problem of a particle in a box is probably the simplest problem in quantum mechanics which allows for significant insight into the nature of quantum systems and thus is a cornerstone in the teaching of quantum mechanics. In relativistic quantum mechanics this problem allows also to highlight the implications of special relativity for quantum physics, namely the effect that spin has on the quantized energy spectra. To illustrate this point, we solve the problem of a spin zero relativistic particle in a one- and three-dimensional box using the Klein-Gordon equation in the Feshbach-Villars formalism. We compare the solutions and the energy spectra obtained with the corresponding ones from the Dirac equation for a spin one-half relativistic particle. We note the similarities and differences, in particular the spin effects in the relativistic energy spectrum. As expected, the non-relativistic limit is the same for both kinds of particles, since, for a particle in a box, the spin contribution to the energy is a relativistic effect.

    Comments:
    8 pages, 2 figures, revtex4, to appear in EJP
    Subjects:
    Quantum Physics (quant-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
    arXiv:
    1711.06313 [pdf]
    Eur.J.Phys.(2018)·16 citations
  2. 11

    [Submitted on 21 Nov 2017] (cross-list from hep-ph)

    Dispersive analysis tools for and scattering

    J.R. Peláez🇪🇸 · A. Rodas (Universidad Complutense de Madrid)🇪🇸

    In this talk we discuss the relevance of dispersive methods and their different applications to obtain simple but rigorous parameterizations of pion-pion and kaon-pion scattering. We show as an example our latest dispersive analysis of scattering, where we provide simple parameterizations of data satisfying Forward Dispersion Relations up to 1.6 GeV.

    Comments:
    Led parallel talk at the XVII International Conference on Hadron Spectroscopy and Structure - Hadron2017, 25-29 September, 2017.University of Salamanca, Salamanca, Spain
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1711.07861 [pdf]
    PoS(2018)·2 citations
  3. 12

    [Submitted on 21 Nov 2017] (cross-list from hep-ph)

    Isospin Breaking in Heavy-Meson Decay Constants

    Wolfgang Lucha🇦🇹 · Dmitri Melikhov🇷🇺 · Silvano Simula🇮🇹

    Evaluation of Borelized QCD sum rules in the so-called local-duality limit of infinitely large Borel mass parameter provides an alternate route for extraction of the dependence of the decay constants of heavy-light mesons on the mass of the involved light quark : For appropriate choices of the two-point correlation functions of currents interpolating the hadrons under study, the local-duality limit forces all nonperturbative contributions parametrized by vacuum condensates to such kind of correlator to vanish. As a consequence, the sought dependence of the heavy-light meson decay constants proves to be controlled primarily by the correlator contributions from perturbative QCD. Our knowledge of the analytic behaviour of the latter as functions of enables us to derive the dependence of the decay constants of both pseudoscalar and vector heavy-light mesons, for which we estimate strong isospin breaking to be of the order of 1 MeV for both charm and beauty sectors.

    Comments:
    6 pages, 3 figures, talk presented at the "XVII International Conference on Hadron Spectroscopy and Structure - Hadron2017" (25 - 29 September 2017, Salamanca, Spain)
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
    arXiv:
    1711.07899 [pdf]
    PoS(2018)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE