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Scaling limit of a non-relativistic model

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arxiv hep-ph/9210245 v1 pith:YWIXL6C6 submitted 1992-10-19 hep-ph

classification hep-ph
keywords limitscalingmodelquarksnon-relativisticscatteringtwo-bodyagrees
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $m_A$ 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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