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Nuclear Theory·nucl-th

Wednesday·September 7, 2016

9 papers—4 primary·5 cross-listed

All9Primary4Cross-lists5
  1. 05

    K-Long Facility for JLab and its Scientific Potential

    Igor I. Strakovsky🇺🇸

    Our main interest in creating a secondary high-quality KL-beam is to investigate hyperon spectroscopy through both formation and production processes. We propose to study two-body reactions induced by the KL-beam on the proton target. The experiment should measure both differential cross sections and self-analyzed polarizations of the produced -, -, and -hyperons using the GlueX detector at the Jefferson Lab Hall D. New data will greatly constrain partial-wave analysis and reduce model-dependent uncertainties in the extraction of strange resonance properties, providing a new benchmark for comparisons with QCD-inspired models and LQCD calculations. The measurements will span c.m. from -0.95 to 0.95 in c.m. range above W = 1490MeV and up to 4000 MeV.

    ↳ nucl-exhep-exhep-phnucl-thEPJ Web Conf.(2016)·2 citations
  2. 06

    Chiral corrections to the Adler-Weisberger sum rule

    Silas R. Beane🇺🇸 · Natalie Klco🇺🇸

    The Adler-Weisberger sum rule for the nucleon axial-vector charge, , offers a unique signature of chiral symmetry and its breaking in QCD. Its derivation relies on both algebraic aspects of chiral symmetry, which guarantee the convergence of the sum rule, and dynamical aspects of chiral symmetry breaking---as exploited using chiral perturbation theory---which allow the rigorous inclusion of explicit chiral symmetry breaking effects due to light-quark masses. The original derivations obtained the sum rule in the chiral limit and, without the benefit of chiral perturbation theory, made various attempts at extrapolating to non-vanishing pion masses. In this paper, the leading, universal, chiral corrections to the chiral-limit sum rule are obtained. Using PDG data, a recent parametrization of the pion-nucleon total cross-sections in the resonance region given by the SAID group, as well as recent Roy-Steiner equation determinations of subthreshold amplitudes, threshold parameters, and correlated low-energy constants, the Adler-Weisberger sum rule is confronted with experimental data. With uncertainty estimates associated with the cross-section parameterization, the Goldberger-Treimann discrepancy, and the truncation of the sum rule at in the chiral expansion, this work finds .

    ↳ hep-phnucl-thPRD(2016)·3 citations
  4. 08

    Generalized Skyrme model with the loosely bound potential

    Sven Bjarke Gudnason🇨🇳 · Baiyang Zhang🇨🇳 · Nana Ma🇨🇳

    We study a generalization of the loosely bound Skyrme model which consists of the Skyrme model with a sixth-order derivative term - motivated by its fluid-like properties - and the second-order loosely bound potential - motivated by lowering the classical binding energies of higher-charged Skyrmions. We use the rational map approximation for the Skyrmion of topological charge B=4, calculate the binding energy of the latter and estimate the systematic error in using this approximation. In the parameter space that we can explore within the rational map approximation, we find classical binding energies as low as 1.8% and once taking into account the contribution from spin-isospin quantization we obtain binding energies as low as 5.3%. We also calculate the contribution from the sixth-order derivative term to the electric charge density and axial coupling.

    ↳ hep-phhep-thnucl-thPRD(2016)·28 citations
  5. 09

    Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions

    M. D. Hoffman🇺🇸 · A. C. Loheac🇺🇸 · W. J. Porter🇺🇸 · J. E. Drut🇺🇸

    Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as Tan's contact, of attractively interacting SU(4)- and SU(6)-symmetric fermion systems in one spatial dimension. We also furnish a nonperturbative proof of a universal relation whereby quantities computable in the SU(2) case completely determine the virial coefficients of the SU() case. These one-dimensional systems are appealing because they can be experimentally realized in highly constrained traps and because of the dominant role played by correlations. The latter are typically nonperturbative and are crucial for understanding ground states and quantum phase transitions. While quantum fluctuations are typically overpowered by thermal ones in one and two dimensions at any finite temperature, we find that quantum effects do leave their imprint in thermodynamic quantities. Our calculations show that the additional degrees of freedom, relative to the SU(2) case, provide a dramatic enhancement of the density and pressure (in units of their noninteracting counterparts) in a wide region around vanishing , where is the inverse temperature and the chemical potential. As shown recently in experiments, the thermodynamics we explore here can be measured in a controlled and precise fashion in highly constrained traps and optical lattices. Our results are a prediction for such experiments in one dimension with atoms of high nuclear spin.

    ↳ cond-mat.quant-gashep-latnucl-thPRA(2017)·6 citations

Affiliations

first authorsco-authorsvia INSPIRE