By Harry G Blundell
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Additional resources for Meson properties in the quark model : a look at some outstanding problems
Despite the fact that one na¨ıvely expects heavy mesons to be broad, since more phase space and decay channels lead to larger widths, they found the total widths to be approximately 60 MeV and 50 MeV respectively. Based on production rate arguments, they concluded that the f4 (2220) was most likely to be the 3 F2 s¯ s state. However, the analysis was not 45 Chapter 3. Models of Meson Decay: Two Applications Experiment Process SLAC-SP-032 (Mark III) a e+ e− → J/ψ → γ f4 (2220) ֒→ K + K − ¯0 ֒→ KS0 K S − π p → f4 (2220) n ֒→ ηη ′ π − p → f4 (2220) n ¯ S0 ֒→ KS0 K K − p → f4 (2220) Λ ֒→ K + K − (GAMS-2000, GAMS-4000) b SERP-E-147 (MIS) c SLAC-E-135 (LASS) d RPP Average e (DM2) f (BES) g e+ e− → J/ψ → γ ?
Exhaustive in that it did not calculate the partial widths to all possible final states. 10 10 ¯ ∗ (892) is dominated by the 1, D partial wave In addition, they note that the decay to K ∗ (892)K Chapter 3. Models of Meson Decay: Two Applications 46 In addition, Pakvasa, Suzuki and Tuan  have used Regge theory to estimate the partial width of the 3 F4 s¯ s state decaying to two 1 S0 mesons as approximately 40 MeV, with the total width expected to be a few times larger. And finally, Ono, P`ene and Sch¨oberl  have used the 3 P0 model to calculate the partial width of the 3 F2 s¯ s state (assuming a mass of 2200 MeV) decaying to 1 S0 and 3 S1 states to be ¯ ∗ (892) dominant at 348 MeV).
5. a This number is actually for the final state K ∗ (892)ππ, and is the total for all partial waves. For the 3 F2 s¯ s state the main decay modes are, in descending order, including charge conjugate pairs: ¯ K1 (1270)K ¯ ∗ (892), K ∗ (892)K, ¯ K ∗ (892)K ¯ ∗ (892), K1 (1270)K, ¯ K K, ¯ f1 (1510)η. K2∗ (1430)K, Chapter 3. 7: The calculated partial decay widths and total width of the 3 F2 s¯ s meson. We do not include a decay to f0 (980)f0 (980) because we question its assignment as a 3 P0 meson.
Meson properties in the quark model : a look at some outstanding problems by Harry G Blundell