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Title: Unified description of BaBar and Belle data on the bottomonia decays Υ(mS) → Υ(nS) π+ π-

We present a unified analysis of the decays of bottomonia Υ(mS)→Υ(nS)ππ (m>n, m=2,3,4,5, n=1,2,3), charmonia J/ψ→Φ(ππ,KK¯), ψ(2S)→J/ψππ, and the isoscalar S-wave processes ππ→ππ, KK¯, ηη. In this analysis we extend our recent study of low-lying (m=2,3) radial excitations of bottomonia to modes involving higher (m=4,5) excited states. Similarly as for the data on lower radial excitations, we confirm that the data for higher radially excited states from the BABAR and Belle collaborations can be described under conditions that the final bottomonium is a spectator and the multichannel ππ scattering is considered in a model-independent approach based on analyticity, unitarity and the uniformization procedure. Indeed we show that the dipion mass distributions in the two-pion transitions of both charmonia and bottomonia states are explained by a unified mechanism based on the contribution of the ππ and KK¯ coupled channels including their interference (final-state interactions). Furthermore, our main result is that the lower and higher radially excited states of charmonia and bottomonia have no specific features in mutual comparison and can be understood in a unified picture, e.g. proposed by our approach.
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6]
  1. Joint Institute for Nuclear Research, Dubna (Russia)
  2. Nuclear Physics Institute of the AS CR (Czech Republic)
  3. Univ. Tubingen, Tubingen (Germany)
  4. Institute of Nuclear Physics of the PAN, Cracow (Poland)
  5. Institute of Nuclear Physics of the PAN, Cracow (Poland); Tomsk State Univ., Tomsk (Russia); Tomsk Polytechnic Univ., Tomsk (Russia)
  6. SAS (Slovak Republic)
Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 1550-7998; PRVDAQ; arXiv:1506.03023
DOE Contract Number:
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles, Fields, Gravitation and Cosmology; Journal Volume: 92; Journal Issue: 3
American Physical Society (APS)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Phenomenology-HEP; HEPPH; coupled-channel formalism; meson-meson scattering; heavy meson decays; scalar and pseudoscalar mesons