Subtleties of Lorentz Invariance in Relativistic Constituent Quark Models of the Nucleon and the Spin-Dependent Quark Density

Details Subtleties of Lorentz Invariance in Relativistic Constituent Quark Models of the Nucleon and the Spin-Dependent Quark Density Subtleties of Lorentz Invariance in Relativistic Constituent Quark Models of the Nucleon and the Spin-Dependent Quark Density

2007-01-08

arxiv.org/abs/nucl-th/0701017v3

Phys.Rev.C76:025203,2007

Physics

Nuclear Physics

Nuclear Theory

7 pages, replacement includes further explanations and an acknowledgement to Prof. Franz Gross

Scientific paper

10.1103/PhysRevC.76.025203

We study the effects of a barely perceivable violation of Lorentz invariance on results computed using a relativistic constituent quark model wave function. The model nucleon wave function of Gross {\it et al.} is constructed such thatthere is no orbital angular momentum and that the spin-dependent density is spherical. This model wave function is claimed to be manifestly covariant, but we show that this is not so. In particular,the seeming covariance of the matrix elements of the electromagnetic current arises from using the Breit frame. Matrix elements have a different appearance in any other frame.

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