Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method
| dc.creator | Simonov, Yu. A. | |
| dc.date | 2007-11-22 | |
| dc.date.accessioned | 2026-07-07T11:54:21Z | |
| dc.date.available | 2026-07-07T11:54:21Z | |
| dc.description | Mechanism of di-pion transitions $nS\to n'Sππ(n=3,2; n'=2,1)$ in bottomonium and charmonium is studied with the use of the chiral string-breaking Lagrangian allowing for the emission of any number of $π(K,η),$ and not containing fitting parameters. The transition amplitude contains two terms, $M=a-b$, where first term (a) refers to subsequent one-pion emission: $Υ(nS)\toπB\bar B^*\toπΥ(n'S)π$ and second term (b) refers to two-pion emission: $Υ(nS)\toππB\bar B\toππΥ(n'S)$. The one-parameter formula for the di-pion mass distribution is derived, $\frac{dw}{dq}\sim$(phase space) $|η-x|^2$, where $x=\frac{q^2-4m^2_π}{q^2_{max}-4m^2_π},$ $q^2\equiv M^2_{ππ}$. The parameter $η$ dependent on the process is calculated, using SHO wave functions and imposing PCAC restrictions (Adler zero) on amplitudes a,b. The resulting di-pion mass distributions are in agreement with experimental data. | |
| dc.description | 62 pages,8 tables,7 figures | |
| dc.identifier | https://arxiv.org/abs/0711.3626 | |
| dc.identifier | http://arxiv.org/abs/0711.3626 | |
| dc.identifier | Phys.Atom.Nucl.71:1048-1076,2008 | |
| dc.identifier | doi:10.1134/S1063778808060094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204870 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Di-Pion Decays of Heavy Quarkonium in the Field Correlator Method | |
| dc.type | text |