In this Letter we address the problem of unconventional charmonium-like levels from the standpoint of level spacing theory. The level distribution of the newly discovered vector resonances is compared to that of standard charmonia analyzing their spectral rigidities. It is found that the unconventional charmonium-like states are significantly more compatible with the hypothesis of being levels from a Gaussian Orthogonal Ensamble of Random Matrices than the standard ones, which in turn seem more likely to be Poisson distributed. We discuss the consequences of this result and draw some hints for future investigations. (C) 2011 Elsevier B.V. All rights reserved.
The Delta-statistics of uncoventional quarkonium-like resonances / Cirillo, Emilio Nicola Maria; Mori, Matteo; Polosa, ANTONIO DAVIDE. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 705:(2011), pp. 498-502. [10.1016/j.physletb.2011.10.054]
The Delta-statistics of uncoventional quarkonium-like resonances
CIRILLO, Emilio Nicola Maria;MORI, MATTEO;POLOSA, ANTONIO DAVIDE
2011
Abstract
In this Letter we address the problem of unconventional charmonium-like levels from the standpoint of level spacing theory. The level distribution of the newly discovered vector resonances is compared to that of standard charmonia analyzing their spectral rigidities. It is found that the unconventional charmonium-like states are significantly more compatible with the hypothesis of being levels from a Gaussian Orthogonal Ensamble of Random Matrices than the standard ones, which in turn seem more likely to be Poisson distributed. We discuss the consequences of this result and draw some hints for future investigations. (C) 2011 Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
