dorsal/arxiv
View SchemaAnalyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics
| Authors | Pawel Danielewicz, Scott Pratt |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0612076 |
| URL | https://arxiv.org/abs/nucl-th/0612076 |
| DOI | 10.1103/PhysRevC.75.034907 |
| Journal | Phys.Rev.C75:034907,2007 |
Abstract
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.
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"abstract": "The dependence of inter-particle correlations on the orientation of particle\nrelative-momentum can yield unique information on the space-time features of\nemission in reactions with multiparticle final states. In the present paper,\nthe benefits of a representation and analysis of the three-dimensional\ncorrelation information in terms of surface spherical harmonics is presented.\nThe harmonics include the standard complex tesseral harmonics and the real\ncartesian harmonics. Mathematical properties of the lesser-known cartesian\nharmonics are illuminated. The physical content of different angular harmonic\ncomponents in a correlation is described. The resolving power of different\nfinal-state effects with regarding to determining angular features of emission\nregions is investigated. The considered final-state effects include identity\ninterference and strong and Coulomb interactions. The correlation analysis in\nterms of spherical harmonics is illustrated with the cases of gaussian and\nblast-wave sources for proton-charged meson and baryon-baryon pairs.",
"arxiv_id": "nucl-th/0612076",
"authors": [
"Pawel Danielewicz",
"Scott Pratt"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.034907",
"journal_ref": "Phys.Rev.C75:034907,2007",
"title": "Analyzing Correlation Functions with Tesseral and Cartesian Spherical Harmonics",
"url": "https://arxiv.org/abs/nucl-th/0612076"
},
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