Heavy Quarkonium π^+π^- Transitions and a Possible b\bar{b}q\bar{q} State

Details Heavy Quarkonium π^+π^- Transitions and a Possible b\bar{b}q\bar{q} State Heavy Quarkonium π^+π^- Transitions and a Possible b\bar{b}q\bar{q} State

2004-10-14

arxiv.org/abs/hep-ph/0410204v3

Nucl.Phys.A761:269-282,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 8 figures; misprints corrected

Scientific paper

10.1016/j.nuclphysa.2005.07.019

$\pi^+\pi^-$ transitions of heavy quarkonia, especially the $ \Upsilon(3S)\to\Upsilon(1S)\pi^+\pi^-$ decay process, are revisited. In the framework of the Chiral Unitary Theory (ChUT), the $S$ wave $\pi\pi$ final state interaction (FSI) is included. It is found that when an additional intermediate state with $J^P=1^+$ and I=1 is introduced, not only the $ \pi\pi$ invariant mass spectrum and the $cos\theta_\pi^*$ distribution in the $\Upsilon(3S)\to\Upsilon(1S)\pi^+\pi^-$ process can simultaneously be well-explained, but also a consistent description for other bottomonia $ \pi^+\pi^-$ transitions can be obtained. As a consequence, the mass and the width of the intermediate state are predicted. From the quark content analysis, this state should be a $b\bar bq\bar q$ state.

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