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Observation of theP11state of charmonium

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology2005Vol. 72(9), pp. 2337–2340

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P. Rubin, C. Cawlfield, B. I. Eisenstein, G. D. Gollin, I. Karliner, D. Kim, N. Lowrey, P. Naik, C. Sedlack, M. Selen, E. J. White, J. S. Williams, J. Wiss, K. W. Edwards, D. Besson, T. K. Pedlar, D. Cronin-Hennessy, K. Y. Gao, D. T. Gong, J. Hietala, Y. Kubota, T. Klein, B. W. Lang, S. Z. Li, R. Poling, A. W. Scott, A. Smith, S. Dobbs, Z. Metreveli, K. K. Seth, A. Tomaradze, P. Zweber, J. Ernst, Athar Mahmood, H. Severini, D. M. Asner, S. Dytman, W. A. Love, S. Mehrabyan, J. Mueller, V. Savinov, Z. Li, A. Lopez, H. Méndez, J. E. Ramirez Vargas, G. S. Huang, D. H. Miller, V. Pavlunin, B. Sanghi, I. P. J. Shipsey, G. S. Adams, M. Cravey, J. P. Cummings, I. Danko, J. Napolitano, Q. He, H. Muramatsu, C. S. Park, W. Park, E. H. Thorndike, T. E. Coan, Y. S. Gao, F. Liu, M. Artuso, C. Boulahouache, S. Blusk, J. Butt, O. Dorjkhaidav, J. Li, N. Menaa, R. Mountain, R. Nandakumar, K. Randrianarivony, R. Redjimi, R. Sia, T. Skwarnicki, S. Stone, J. C. Wang, K. Zhang, S. E. Csorna, G. Bonvicini, D. Cinabro, M. Dubrovin, R. A. Briere, G. P. Chen, J. Chen, T. Ferguson, G. Tatishvili, H. Vogel, M. E. Watkins, J. L. Rosner, N. E. Adam, J. Alexander, K. Berkelman, D. G. Cassel, V. Credé, J. E. Duboscq, K. M. Ecklund, R. Ehrlich, L. Fields, R. S. Galik, L. Gibbons, B. Gittelman, R. Gray, S. W. Gray, D. L. Hartill, B. K. Heltsley, D. Hertz, C. D. Jones, J. Kandaswamy, D. L. Kreinick, В. Е. Кузнецов, H. Mahlke-Krüger, T. O. Meyer, P. U. E. Onyisi, T. Sanuki, D. Peterson, E. A. Phillips, J. Pivarski, D. Riley, A. Rýd, A. J. Sadoff, H. Schwarthoff, X. Shi, M. R. Shepherd, S. Stroiney, W. Sun, D. Urner, T. Wilksen, K. M. Weaver, M. Weinberger, S. B. Athar, P. Avery, L. Breva-Newell, R. Patel, V. Potlia, H. Stoeck, J. Yelton

Abstract

The spin-singlet $P$-wave state of charmonium, ${h}_{c}{(}^{1}{P}_{1})$, has been observed in the decay $\ensuremath{\psi}(2S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{h}_{c}$ followed by ${h}_{c}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}_{c}$. Inclusive and exclusive analyses of the $M({h}_{c})$ spectrum have been performed. Two complementary inclusive analyses select either a range of energies for the photon emitted in ${h}_{c}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}_{c}$ or a range of values of $M({\ensuremath{\eta}}_{c})$. These analyses, consistent with one another within statistics, yield $M({h}_{c})=[3524.9\ifmmode\pm\else\textpm\fi{}0.7\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.4\text{ }\text{ }(\mathrm{sys})]\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ and a product of the branching ratios ${\mathcal{B}}_{\ensuremath{\psi}}(\ensuremath{\psi}(2S)\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{h}_{c})\ifmmode\times\else\texttimes\fi{}{\mathcal{B}}_{h}({h}_{c}\ensuremath{\rightarrow}\ensuremath{\gamma}{\ensuremath{\eta}}_{c})=[3.5\ifmmode\pm\else\textpm\fi{}1.0\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.7\text{ }\text{ }(\mathrm{sys})]\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$. When the ${\ensuremath{\eta}}_{c}$ is reconstructed in seven exclusive decay modes, $17.5\ifmmode\pm\else\textpm\fi{}4.5$ ${h}_{c}$ events are seen with an average mass $M({h}_{c})=[3523.6\ifmmode\pm\else\textpm\fi{}0.9\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.5\text{ }\text{ }(\mathrm{sys})]\text{ }\text{ }\mathrm{MeV}/{c}^{2}$, and ${\mathcal{B}}_{\ensuremath{\psi}}{\mathcal{B}}_{h}=[5.3\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}1.0\text{ }\text{ }(\mathrm{sys})]\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$. If combined, the inclusive and exclusive data samples yield an overall mass $M({h}_{c})=[3524.4\ifmmode\pm\else\textpm\fi{}0.6\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.4\text{ }\text{ }(\mathrm{sys})]\text{ }\text{ }\mathrm{MeV}/{c}^{2}$ and product of branching ratios ${\mathcal{B}}_{\ensuremath{\psi}}{\mathcal{B}}_{h}=[4.0\ifmmode\pm\else\textpm\fi{}0.8\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.7\text{ }\text{ }(\mathrm{sys})]\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$. The ${h}_{c}$ mass implies a $P$-wave hyperfine splitting $\ensuremath{\Delta}{M}_{\mathrm{HF}}(1P)\ensuremath{\equiv}⟨M({1}^{3}P)⟩\ensuremath{-}M({1}^{1}{P}_{1})=[1.0\ifmmode\pm\else\textpm\fi{}0.6\text{ }\text{ }(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.4\text{ }\text{ }(\mathrm{sys})]\text{ }\text{ }\mathrm{MeV}/{c}^{2}$.

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Abstract

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