Scaling limit of a non-relativistic model

Details Scaling limit of a non-relativistic model Scaling limit of a non-relativistic model

1992-10-19

arxiv.org/abs/hep-ph/9210245v1

Phys.Rev. D47 (1993) 331-335

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.47.331

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 $m_A$ and $m_B$. The scaling limit in $x={\bf q}^2/2(m_A+m_B)q^0$ exists and is non-vanishing only for the values $x=m_A/(m_A+m_B)$ and $x=m_B/(m_A+m_B)$ 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.

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