Channel coupling in heavy quarkonia: energy levels, mixing, widths and new states

2009/07/31 by I. V. Danilkin, Yu. A. Simonov · 1 citation
Physics and Astronomy · #hep-ph #hep-ex

paper · pdf · doi:10.1103/physrevd.81.074027

published as Phys.Rev.D81:074027,2010 · 27 pages, 13 figures The article is accepted for publication in Physical Review D

arxiv created 2010/03/30 · arxiv updated 2010/05/12

Abstract

The mechanism of channel coupling via decay products is used to study energy shifts, level mixing as well as the possibility of new near-threshold resonances in c c, b b systems. The Weinberg eigenvalue method is formulated in the multichannel problems, which allows to describe coupled-channel resonances and wave functions in a unitary way, and to predict new states due to channel coupling. Realistic wave functions for all single-channel states and decay matrix elements computed earlier are exploited, and no new fitting parameters are involved. Examples of level shifts, widths and mixings are presented; the dynamical origin of X(3872) and the destiny of the single-channel 2³P₁(c c) state are clarified. As a result a sharp and narrow peak in the state with quantum numbers J^PC=1⁺⁺ is found at 3.872 GeV, while the single-channel resonance originally around 3.940 GeV, becomes increasingly broad and disappears with growing coupling to open channels.

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