Annihilation rate of heavy 0-+ quarkonium in relativistic Salpeter method

C. S. Kim; Taekoon Lee; Guo Li Wang

doi:10.1016/j.physletb.2004.11.084

Annihilation rate of heavy 0^-+ quarkonium in relativistic Salpeter method

C. S. Kim, Taekoon Lee, Guo Li Wang

Department of Physics

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	323-328
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	606
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2004.11.084
Publication status	Published - 2005 Jan 27

Bibliographical note

Funding 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

Access to Document

10.1016/j.physletb.2004.11.084

Cite this

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title = "Annihilation rate of heavy 0-+ quarkonium in relativistic Salpeter method",

abstract = "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.",

author = "Kim, {C. S.} and Taekoon Lee and Wang, {Guo Li}",

note = "Funding 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.",

year = "2005",

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doi = "10.1016/j.physletb.2004.11.084",

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T1 - Annihilation rate of heavy 0-+ quarkonium in relativistic Salpeter method

AU - Kim, C. S.

AU - Lee, Taekoon

AU - Wang, Guo Li

N1 - Funding 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.

PY - 2005/1/27

Y1 - 2005/1/27

N2 - 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.

AB - 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.

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