Abstract
We determine the leading-order nonrelativistic quantum chromodynamics (NRQCD) matrix element 〈O1〉Υ and the ratio (q2)Υ, for Υ=Υ(nS) with n=1, 2, and 3 by comparing the measured values for Γ[Υ→e+e-] with the NRQCD factorization formula in which relativistic corrections are resummed to all orders in the heavy-quark velocity v. The values for 〈q2〉Υ, which is the ratio of order-v2 matrix element to 〈O1〉Υ, are new. They can be used for NRQCD predictions involving Υ(nS) and ηb(nS) with relativistic corrections. As an application, we predict the two-photon decay rates for the spin-singlet states: Γ[ηb(1S)→γγ]=0.512-0.094 +0.096 keV, Γ[ηb(2S)→γγ]=0.235-0.043 +0.043 keV, and ηb(3S)→γγ=0.170-0.031 +0.031 keV.
| Original language | English |
|---|---|
| Pages (from-to) | 48-51 |
| Number of pages | 4 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 697 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 Feb 21 |
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Keywords
- Bottomonium
- NRQCD
- NRQCD matrix element
- Relativistic correction
- Two-photon width
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
NRQCD matrix elements for S-wave bottomonia and Γ[ηb(nS)→γγ] with relativistic corrections. / Chung, Hee Sok; Lee, Jungil; Yu, Chaehyun.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 697, No. 1, 21.02.2011, p. 48-51.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - NRQCD matrix elements for S-wave bottomonia and Γ[ηb(nS)→γγ] with relativistic corrections
AU - Chung, Hee Sok
AU - Lee, Jungil
AU - Yu, Chaehyun
PY - 2011/2/21
Y1 - 2011/2/21
N2 - We determine the leading-order nonrelativistic quantum chromodynamics (NRQCD) matrix element 〈O1〉Υ and the ratio (q2)Υ, for Υ=Υ(nS) with n=1, 2, and 3 by comparing the measured values for Γ[Υ→e+e-] with the NRQCD factorization formula in which relativistic corrections are resummed to all orders in the heavy-quark velocity v. The values for 〈q2〉Υ, which is the ratio of order-v2 matrix element to 〈O1〉Υ, are new. They can be used for NRQCD predictions involving Υ(nS) and ηb(nS) with relativistic corrections. As an application, we predict the two-photon decay rates for the spin-singlet states: Γ[ηb(1S)→γγ]=0.512-0.094 +0.096 keV, Γ[ηb(2S)→γγ]=0.235-0.043 +0.043 keV, and ηb(3S)→γγ=0.170-0.031 +0.031 keV.
AB - We determine the leading-order nonrelativistic quantum chromodynamics (NRQCD) matrix element 〈O1〉Υ and the ratio (q2)Υ, for Υ=Υ(nS) with n=1, 2, and 3 by comparing the measured values for Γ[Υ→e+e-] with the NRQCD factorization formula in which relativistic corrections are resummed to all orders in the heavy-quark velocity v. The values for 〈q2〉Υ, which is the ratio of order-v2 matrix element to 〈O1〉Υ, are new. They can be used for NRQCD predictions involving Υ(nS) and ηb(nS) with relativistic corrections. As an application, we predict the two-photon decay rates for the spin-singlet states: Γ[ηb(1S)→γγ]=0.512-0.094 +0.096 keV, Γ[ηb(2S)→γγ]=0.235-0.043 +0.043 keV, and ηb(3S)→γγ=0.170-0.031 +0.031 keV.
KW - Bottomonium
KW - NRQCD
KW - NRQCD matrix element
KW - Relativistic correction
KW - Two-photon width
UR - http://www.scopus.com/inward/record.url?scp=79551498249&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79551498249&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2011.01.033
DO - 10.1016/j.physletb.2011.01.033
M3 - Article
AN - SCOPUS:79551498249
VL - 697
SP - 48
EP - 51
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1
ER -