Bochum 1998 – scientific programme
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HK: Hadronen und Kerne
HK 20: Structure of Baryons, Mesons III, Theory
HK 20.6: Talk
Monday, March 16, 1998, 18:45–19:00, H
Inclusive and Deep Inelastic Scattering from a Dressed Nucleon — •N. Fettes1 and R. Rosenfelder2 — 1Forschungszentrum Jülich, IKP (Theorie), D-52425 Jülich, Germany — 2Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
Nonperturbative polaron variational methods are used to study inclusive scattering in the context of the scalar Wick-Cutkosky model. We derive the structure functions for a scalar nucleon surrounded by a cloud of strongly interacting mesons from the Compton amplitude which is obtained in a recent variational calculation based on the particle (or worldline) representation. In zeroth variational order, a covariant exponentiated form is obtained which is identical to the one suggested by Vineyard for scattering of slow neutrons from quantum liquids. In first order, the much richer dependence of the structure function on momentum and energy tranfer which emerges is evaluated numerically. We study the Q2-evolution and the perturbative as well as the scaling limit of our variational structure functions. Finally, the momentum sum rule is derived and evaluated in order to determine the momentum fraction carried by the neutral mesons inside the dressed nucleon.