Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
摘要
The dependence of inter-particle correlations on the orientation of particle relative-momentum can yield unique information on the space-time features of emission in reactions with multiparticle final states. In the present paper, the benefits of a representation and analysis of the three-dimensional correlation information in terms of surface spherical harmonics is presented. The harmonics include the standard complex tesseral harmonics and the real cartesian harmonics. Mathematical properties of the lesser-known cartesian harmonics are illuminated. The physical content of different angular harmonic components in a correlation is described. The resolving power of different final-state effects with regarding to determining angular features of emission regions is investigated. The considered final-state effects include identity interference and strong and Coulomb interactions. The correlation analysis in terms of spherical harmonics is illustrated with the cases of gaussian and blast-wave sources for proton-charged meson and baryon-baryon pairs.
引用
@article{arxiv.nucl-th/0612076,
title = {Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics},
author = {Pawel Danielewicz and Scott Pratt},
journal= {arXiv preprint arXiv:nucl-th/0612076},
year = {2008}
}
备注
32 pages 10 figures