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Dipion decays of heavy quarkonium in the field correlator method

  • Elementary Particles and Fields
  • Theory
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Abstract

The mechanism of dipion transitions nS → n′Sππ (n = 3, 2; n′ = 2, 1) in bottomonium and charmonium is studied with the use of the chiral string-breaking Lagrangian allowing for the emission of any number of π(K, ν), and not containing fitting parameters. The transition amplitude contains two terms: M = a − b, where the first term (a) refers to subsequent one-pion emission, \( \Upsilon (nS) \to \pi B\bar B^ * \to \pi \Upsilon (n'S)\pi \), and the second term (b) refers to two-pion emission, \( \Upsilon (nS) \to \pi \pi B\bar B \to \pi \pi \Upsilon (n'S) \). The one parameter formula for the dipion mass distribution is derived, dw/dq∼ (phase space) × | η − x|2, where x = (q 2 − 4m 2π )/(q 2max − 4m 2π ), q 2 m= M 2ππ . The parameter ν dependent on the process is calculated, using SHO wave functions and imposing PCAC restrictions (Adler zero) on amplitudes a and b. The resulting dipion mass distributions are in agreement with experimental data.

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  1. Institute of Theoretical and Experimental Physics, Bol’shaya Cheremushkinskaya ul. 25, Moscow, 117259, Russia

    Yu. A. Simonov

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Simonov, Y.A. Dipion decays of heavy quarkonium in the field correlator method. Phys. Atom. Nuclei 71, 1048–1076 (2008). https://doi.org/10.1134/S1063778808060094

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