Scaling for deuteron structure functions in a relativistic light-front model
- Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52246 (United States)
- Institut fuer Theoretische Physik II, Ruhr-Universitaet, D-4630 Bochum (Germany)
Scaling limits of the structure functions [B.D. Keister, Phys. Rev. C {bold 37}, 1765 (1988)], {ital W}{sub 1} and {ital W}{sub 2}, are studied in a relativistic model of the two-nucleon system. The relativistic model is defined by a unitary representation, {ital U}({Lambda},{ital a}), of the Poincar{acute e} group which acts on the Hilbert space of two spinless nucleons. The representation is in Dirac{close_quote}s [P.A.M. Dirac, Rev. Mod. Phys. {bold 21}, 392 (1949)] light-front formulation of relativistic quantum mechanics and is designed to give the experimental deuteron mass and {ital n}-{ital p} scattering length. A model hadronic current operator that is conserved and covariant with respect to this representation is used to define the structure tensor. This work is the first step in a relativistic extension of the results of Hueber, Gl{umlt o}ckle, and Boemelburg. The nonrelativistic limit of the model is shown to be consistent with the nonrelativistic model of Hueber, Gl{umlt o}ckle, and Boemelburg. [D. Hueber {ital et} {ital al}. Phys. Rev. C {bold 42}, 2342 (1990)]. The relativistic and nonrelativistic scaling limits, for both Bjorken and {ital y} scaling are compared. The interpretation of {ital y} scaling in the relativistic model is studied critically. The standard interpretation of {ital y} scaling requires a soft wave function which is not realized in this model. The scaling limits in both the relativistic and nonrelativistic case are related to probability distributions associated with the target deuteron. {copyright} {ital 1996 The American Physical Society.}
- DOE Contract Number:
- FG02-86ER40286
- OSTI ID:
- 285428
- Journal Information:
- Physical Review, C, Vol. 53, Issue 6; Other Information: PBD: Jun 1996
- Country of Publication:
- United States
- Language:
- English
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