QCD's Partner needed for Mass Spectra and Parton Structure Functions
Abstract
As in the case of the hydrogen atom, boundstate wave functions are needed to generate hadronic spectra. For this purpose, in 1971, Feynman and his students wrote down a Lorentzinvariant harmonic oscillator equation. This differential equation has one set of solutions satisfying the Lorentzcovariant boundary condition. This covariant set generates Lorentzinvariant mass spectra with their degeneracies. Furthermore, the Lorentzcovariant wave functions allow us to calculate the valence parton distribution by Lorentzboosting the quarkmodel wave function from the hadronic rest frame. However, this boosted wave function does not give an accurate parton distribution. The wave function needs QCD corrections to make a contact with the real world. Likewise QCD needs the wave function as a starting point for calculating the parton structure function.
 Publication:

arXiv eprints
 Pub Date:
 July 2009
 DOI:
 10.48550/arXiv.0907.1854
 arXiv:
 arXiv:0907.1854
 Bibcode:
 2009arXiv0907.1854K
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Quantum Physics
 EPrint:
 8 pages, 3 figures, presented at the "Excited QCD" (Zakopane, Poland, February 2009)