Abstract
An attempt to treat the asymptotic freedom and the quark confinement as a self-consistent problem in the framework of relativistic quantum mechanics is realized. It is shown that the confinement of quarks induces a change of their helicities together with a simultaneous alteration of orbital momenta, so that the total angular momentum of each quark is conserved. This observation may cast light on the so-called proton spin puzzle after some additional numerical estimations.
Highlights
Using the probabilistic quantum mechanical interpretation [1] of the separate components of ψ, it is easy to check that the electric charge and the z-component of the quark spins are conserved after transformation into the moving frame
Just as the excited states of the hydrogen atom are described taking into account corresponding physical symmetries, the almost real excitations of a nucleon may be naturally treated in the same way
In contrast to the hydrogen atom which is characterized by spherical symmetry, the states of quarks in a relativistic nucleon should be axially symmetric relative to the direction of its motion
Summary
We may even consider them as real excitations after transformation to the infinite momentum frame which underlies the parton picture of the nucleon structure. In contrast to the hydrogen atom which is characterized by spherical symmetry, the states of quarks in a relativistic nucleon should be axially symmetric relative to the direction of its motion. This fact brings into play the projection of the orbital angular momentum Lzi of the quarks on the symmetry axis. If we admit the possibility of the observation of excited states of the nucleon (e.g., in the deep-inelastic lepton scattering on it) we should expect that the total helicity of the quarks. We shall consider these general arguments in more detail and try to estimate a possible value of the effect
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