Centrifugal-Barrier Effects in Resonance Partial Decay Widths, Shapes, and Production Amplitudes
- 1 February 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 5 (3), 624-638
- https://doi.org/10.1103/physrevd.5.624
Abstract
(1) We review the experimental status of identifiable centrifugal-barrier effects in: (i) shapes of resonances, (ii) accounting for deviations in SU(2) and SU(3) predictions for ratios between partial decay widths, and (iii) accounting for the dependence on spin of the elastic widths of resonances lying on the same Regge trajectory. (2) We present a contour plot from which the "kinematic partial width" (centrifugal-barrier penetration factor times two-body phase space) of any resonance into any decay channel may be obtained immediately, given the orbital angular momentum, semiclassical impact parameter, and an assumed strong-interaction radius. Using this technique we display, as an example, the kinematically preferred decays of the high-spin mesons on the leading meson trajectory (assumed linear). (3) We obtain an approximate lower bound on the strong-interaction radius on the basis of general considerations. (4) We show that, for high-spin resonances, it can be expected that the mass enhancements in different decay channels associated with these resonances may be shifted by a half-width or so with respect to each other, because of different centrifugal-barrier effects in the different channels. (5) We also show that production cross sections of high-spin particles on leading linear trajectories by either formation or peripheral processes will be substantially suppressed by centrifugal-barrier effects. (6) Finally, we observe that the production cross sections and decay widths of mesons on the leading trajectory of the Veneziano model can be understood almost entirely on the basis of kinematical considerations if the radius of the region in which the decay particles interact strongly grows linearly with the mass of the decaying resonance.Keywords
This publication has 18 references indexed in Scilit:
- Analysis ofπ+pElastic Scattering from 2.74 to 4.0 GeV/cat All AnglesPhysical Review D, 1971
- Decay Pattern of High-Spin Resonances in the Generalized Veneziano ModelPhysical Review D, 1971
- Review of Particle Properties Particle Data GroupReviews of Modern Physics, 1971
- A fit of baryon decay rates within SU(3)Nuclear Physics B, 1970
- EmpiricalPotential and Castillejo-Dalitz-Dyson Poles in the Pion-NucleonStatePhysical Review Letters, 1969
- Will the Resonances on the Leading Trajectories Become Stable to Strong Decay at High Spin?Physical Review Letters, 1968
- Kinematic Constraints for Infinitely Rising Regge TrajectoriesPhysical Review B, 1967
- Strong decay rates andSU 3. A comparison and critiqueIl Nuovo Cimento A (1971-1996), 1966
- Remarks on the phenomenological analysis of resonancesIl Nuovo Cimento (1869-1876), 1964
- On the Scattering and Absorption of Particles by Atomic NucleiPhysical Review B, 1947