English

Dynamics Of Proton Spin : Role Of $qqq$ Force

High Energy Physics - Phenomenology 2007-12-19 v1

Abstract

The analytic structure of the qqqqqq wave function, obtained recently in the high momentum regime of QCD, is employed for the formulation of baryonic transition amplitudes via quark loops. A new aspect of this study is the role of a direct (YY-shaped, Mercedes-Benz type) qqqqqq force in generating the qqqqqq wave function. The dynamics is that of a Salpeter-like equation (3D support for the kernel) formulated covariantly on the light front, a la Markov-Yukawa Transversality Principle (MYTP) which warrants a 2-way interconnection between the 3D and 4D Bethe-Salpeter (BSE) forms for 2 as well as 3 fermion quarks. The dynamics of this 3-body force shows up through a characteristic singularity in the hypergeometric differential equation for the 3D wave function ϕ\phi, corresponding to a negativenegative eigenvalue of the spin operator iσ1.σ2×σ3i \sigma_1.\sigma_2\times \sigma_3 which is an integral part of the qqqqqq force. As a first application of this wave function to the problem of the proton spin anomaly, the two-gluon contribution to the anomaly yields an estimate of the right sign, although somewhat smaller in magnitude. Keywords: 3bodyforce; proton-spin; 2gluon anomaly; fractional correction θ\theta

Keywords

Cite

@article{arxiv.0712.2896,
  title  = {Dynamics Of Proton Spin : Role Of $qqq$ Force},
  author = {A. N. Mitra},
  journal= {arXiv preprint arXiv:0712.2896},
  year   = {2007}
}

Comments

tex file, 18 pp on dvi