Light front nuclear physics: Toy models, static sources, and tilted light front coordinates

P. G. Blunden, M. Burkardt, G. A. Miller
2000 Physical Review C  
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
more » ... 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.
doi:10.1103/physrevc.61.025206 fatcat:4hgo4sdsabbqnipzmeje6jnmuu