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Joint Institute for Nuclear Research Relativistic ... - Index of - JINR

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APPLICATION OF WAVELET ANALYSIS TO STUDY THE PARAMETERS OF<br />

GROUPS OF RESONANCES<br />

V.K.Henner, C.L.Davis<br />

Department <strong>of</strong> Theoretical Physics, Perm State University, Russia<br />

Department <strong>of</strong> Physics, University <strong>of</strong> Louisville, USA<br />

We show the usefulness <strong>of</strong> wavelet analysis to resolve the structures in experimental data.<br />

Due to good scaling properties <strong>of</strong> the wavelets the data can be studied with various<br />

resolutions, which gives a model independent way to separate the resonances from noise<br />

contribution, the background, and each other. The WA is much less sensitive to the noise than<br />

other types <strong>of</strong> analysis and allows substantially reduce the role <strong>of</strong> statistical fluctuations. As a<br />

particular example we analyze the e + e<br />

− ᆴ hadrons data to study the charmonium<br />

resonances. Using data from several different experiments masses and widths <strong>of</strong> the four<br />

lowest mass resonances are obtained.<br />

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