Light Front Nuclear Physics: Toy Models, Static Sources and Tilted Light Front Coordinates

Details Light Front Nuclear Physics: Toy Models, Static Sources and Tilted Light Front Coordinates Light Front Nuclear Physics: Toy Models, Static Sources and Tilted Light Front Coordinates

1999-08-20

arxiv.org/abs/nucl-th/9908067v2

Phys.Rev. C61 (2000) 025206

Physics

Nuclear Physics

Nuclear Theory

19 pages, references added

Scientific paper

10.1103/PhysRevC.61.025206

The principles behind the detailed results of a light-front mean field theory of finite nuclei are elucidated by deriving the nucleon mode equation using a simple general argument, based on the idea that a static source in equal time coordinates corresponds to a moving source in light front coordinates. This idea also allows us to solve several simple toy model examples: scalar field in a box, 1+1 dimensional bag model, three-dimensional harmonic oscillator and the Hulth\'en potential. The latter provide simplified versions of momentum distributions and form factors of relevance to experiments. In particular, the relativistic correction to the mean square radius of a nucleus is shown to be very small. Solving these simple examples suggests another more general approach-- the use of tilted light front coordinates. The simple examples are made even simpler.

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