Alexander Kvinikhidze

arXiv2007

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

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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arXiv2006

Shapes of the Nucleon

Previously defined spin-dependent quark densities that are matrix elements of specific density operators in proton states of definite spin-polarization generally have an infinite variety of non-spherical shapes. The present application is concerned with both charge and matter densities. We show that the Gross & Agbakpe model nucleon harbors an interesting variety of non-spherical shapes.

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