William & Mary ScholarWorks

Welcome! William & Mary ScholarWorks preserves and provides access to the research and creative output of William & Mary's faculty, staff, and students.

UPDATE 18th JUNE 2025: Our repository has migrated from Digital Commons to Open Repository DSpace as of this summer. Additional updates and improvements will continue through the Fall semester. Thank you for your patience during this transition.  
 

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Recent Submissions

  • PublicationOpen Access
    Using baryon octet magnetic moments and masses to fix the pion cloud contribution
    (Elsevier, 2010) Gross, Franz; Ramalho, G.; Tsushima, K.; Data science
    Using SU(3) symmetry to constrain the πBB′ couplings, assuming SU(3) breaking comes only from one- loop pion cloud contributions, and using the covariant spectator theory to describe the photon coupling to the quark core, we show how the experimental masses and magnetic moments of the baryon octet can be used to constrain the strength of the pion cloud contributions to the octet, and hence the nucleon, form factors at Q² = 0. Keywords: Baryon octet, Magnetic moments, Pion cloud
  • PublicationOpen Access
    Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory
    (EDP Sciences, 2016) Biernat, Elmar; Peña, M. T.; Ribeiro, J. E.; Stadler, A.; Gross, Franz; Data science
    We propose a model for the quark-antiquark interaction in Minkowski space using the Covariant Spectator Theory. We show that with an equal-weighted scalar- pseudoscalar structure for the confining part of our interaction kernel the axial-vector Ward-Takahashi identity is preserved and our model complies with the Adler-zero con- straint for π-π-scattering imposed by chiral symmetry.
  • PublicationOpen Access
    Quark Mass Function from an OGE-Type Interaction in Minkowski Space
    (Acta Physica Polonica B, 2021) Biernat, Elmar; Gross, Franz; Peña, M. T.; Stadler, Alfred; Leitão, Sofia; Data science
    We present results for the quark mass function in Minkowski space calculated from an interaction kernel that consists of an effective one-gluonexchange and a constant interaction. We analyze the gauge dependence of our results and compare them in the spacelike region to the available lattice QCD data.
  • PublicationOpen Access
    Quark mass function from a OGE-type interaction in Minkowski space
    (Proceedings of Science, 2020) Biernat, Elmar; Gross, Franz; Peña, M. T.; Stadler, Alfred; Data science
    The quark self-energy is calculated in both the spacelike and timelike regions of Minkowski space from an effective one-gluon-exchange and a constant interaction. The gauge dependence of the quark mass function is analysed and the model parameters are fixed by comparison of the results to the available lattice QCD data in the spacelike region.
  • PublicationOpen Access
    Precise calculations of the deuteron quadrupole moment
    (Proceedings of Science, 2015) Gross, Franz; Data science
    Recently, two calculations of the deuteron quadrupole moment have have given predictions that agree with the measured value to within 1%, resolving a long-standing discrepancy. One of these uses the covariant spectator theory (CST) and the other chiral effective field theory (χEFT). In this talk I will first briefly review the foundations and history of the CST, and then compare these two calculations with emphasis on how the same physical processes are being described using very different language. The comparison of the two methods gives new insights into the dynamics of the low energy NN interaction.
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