Relativistic Three-Dimensional Two- and Three-Body Equations on a Null Plane and Applications to Meson and Baryon Regge Trtajectories

We start from a field-theoretical model of zero range approximation to derive three-dimensional relativistic two- and three-body equations on a null plane. We generalize those equations to finite range interactions. We propose a three-body null-plane equation whose form is different from the one presented earlier in the framework of light-cone dynamics. We discuss the choices of the kernels in two- and three-body cases and apply our model to the description of meson and baryon Regge trajectories. Our approach overcomes some theoretical and phenomenological difficulties met in preceding relativized treatments of the three-body problem.Comment: 35 pages LaTex, 6 figs (available from [email protected]

Parental values in the U.K.

This is the author accepted manuscript. The final version is available from Wiley via the DOI in this record.This article investigates the extent to which parental values differ between social groups in the U.K. at the start of the 21st century. The study of parental values is an important area of sociological enquiry that can inform scholarship from across the social sciences concerned with educational inequality and cultural variability in family life. We draw on data from the Millennium Cohort Study to show how parent’s social class, religion, religiosity, race and ethnicity, and education are related to the qualities they would like their children to have. Our rank-ordered regression models show that parents in service class occupations place significantly more importance on ‘thinking for self’ than ‘obey parents’ compared to those in routine manual occupations. We also show that although class matters, the relationship between education and parental values is particularly strong. Parenting values also differ by parental racial and ethnic background and by levels of religiosity