Two-photon and two-gluon annihilation rates of ηc, ηc′, ηb and ηb′ are estimated in the relativistic Salpeter method. By solving the full Salpeter equation with a well defined relativistic wave function, we estimate Mηc=2.979±0.432 GeV, Mηc′=3. 566±0.437 GeV, Mηb=9.364±1.120 GeV and Mηb′=9. 941±1.112 GeV. We calculated the transition amplitude using the Mandelstam formalism and estimate the decay widths: Γ(ηc→2γ )=7.14±0.95 keV, Γ(ηc′→2γ)=4.44±0.48 keV, Γ(ηb→2γ)=0.384±0.047 keV and Γ(ηb′→2γ)=0.191±0.025 keV. We also give estimates of total widths by the two-gluon decay rates: Γtot(ηc)=19. 6±2.6 MeV, Γtot(ηc′)=12.1±1.3 MeV, Γtot(ηb)=6.98±0.85 MeV and Γtot(ηb)=3.47±0.45 MeV.
|Number of pages||6|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 2005 Jan 27|
Bibliographical noteFunding Information:
We would like to thank G. Cvetic for the helpful comments. The work of C.S.K. was supported in part by CHEP-SRC Program and in part by Grant No. R02-2003-000-10050-0 from BRP of the KOSEF and from Yonsei University. The work of G.W. was supported by BK21 Program, and in part by Grant No. F01-2004-000-10292-0 of KOSEF-NSFC International Collaborative Research Grant.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics