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

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

Research output: Contribution to journalArticle

37 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 languageEnglish
Pages (from-to)323-328
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume606
Issue number3-4
DOIs
Publication statusPublished - 2005 Jan 27

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estimates
decay rates
wave functions
formalism
photons
decay

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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.",
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Annihilation rate of heavy 0-+ quarkonium in relativistic Salpeter method. / Kim, C. S.; Lee, Taekoon; Wang, Guo Li.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 606, No. 3-4, 27.01.2005, p. 323-328.

Research output: Contribution to journalArticle

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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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