Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics

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dc.creatorDanielewicz, Pawel
dc.creatorPratt, Scott
dc.date2006-12-17
dc.date2007-01-27
dc.date.accessioned2026-07-07T10:38:32Z
dc.date.available2026-07-07T10:38:32Z
dc.descriptionThe 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.
dc.description32 pages 10 figures
dc.identifierhttps://arxiv.org/abs/nucl-th/0612076
dc.identifierhttp://arxiv.org/abs/nucl-th/0612076
dc.identifierPhys.Rev.C75:034907,2007
dc.identifierdoi:10.1103/PhysRevC.75.034907
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180755
dc.subjectNuclear Theory
dc.titleAnalyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
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