English

Scaling limit of a non-relativistic model

High Energy Physics - Phenomenology 2009-10-22 v1

Abstract

I calculate the structure function for scattering from the two-body bound state in its lowest level in a non-relativistic model of confined scalar ``quarks'' of masses mAm_A and mBm_B. The scaling limit in x=q2/2(mA+mB)q0x={\bf q}^2/2(m_A+m_B)q^0 exists and is non-vanishing only for the values x=mA/(mA+mB)x=m_A/(m_A+m_B) and x=mB/(mA+mB)x=m_B/(m_A+m_B) which correspond to the fractions of the momentum of the two-body system carried by each of the ``quarks.'' In the scaling limit, the interference from scattering off of the two ``quarks'' vanishes. Thus the scaling limit of this model agrees with the parton picture.

Keywords

Cite

@article{arxiv.hep-ph/9210245,
  title  = {Scaling limit of a non-relativistic model},
  author = {O. W. Greenberg},
  journal= {arXiv preprint arXiv:hep-ph/9210245},
  year   = {2009}
}

Comments

10 pages, 3 figures not included, in LaTex, UMD 92-223