1302.1779 (Ole L. Trinhammer)

Neutron to proton mass difference, parton distribution functions and
baryon resonances from a simple abstract model    [PDF]

Ole L. Trinhammer

We propose to consider quark degrees of freedom as projections of an interior dynamics of baryons. We assume a hamiltonian structure on the Lie group u(3) to describe the baryon spectrum. The ground state is identified with the proton. From this we calculate approximately the relative neutron to proton mass shift to within half a percentage of the experimental value. We calculate the nucleon and delta resonance spectrum with correct grouping and only one resoncance missing when compared with the certain ones. We have no ad hoc masses nor other fitting parameters except the scale. For specific spin eigenfunctions we calculate the delta to nucleon mass ratio to within one percent. Finally we derive parton distribution functions that compare well with those for the proton valence quarks. Conceptually the Hamiltonian may represent an effective phenomenology or more radically describe the baryon itself as a fundamental entity and quarks and gluons as mere scattering structures.

View original: http://arxiv.org/abs/1302.1779