Exclusive decay of the upsilon into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>h</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>, the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3940</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:

Zhu, Ruilin

doi:10.1103/physrevd.92.074017

Cited by 13 publications

(11 citation statements)

References 78 publications

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“…The heavy quark mass is adopted as m c = 1.5 ± 0.1GeV [46,47] and m b = 4.7 ± 0.1GeV [48]. This choice of the heavy quark masses is from the nonrelativistic approximation, since the heavy quark relativistic velocity is small in the heavy quarkonium.…”

Section: Phenomenological Discussionmentioning

confidence: 99%

Relativistic corrections to the form factors of B into P-wave orbitally excited charmonium

Zhu

2018

Nuclear Physics B

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We investigated the form factors of the Bc meson into P -wave orbitally excited charmonium using the nonrelativistic QCD effective theory. Through the analytic computation, the next-to-leading order relativistic corrections to the form factors were obtained, and the asymptotic expressions were studied in the infinite bottom quark mass limit. Employing the general form factors, we discussed the exclusive decays of the Bc meson into P -wave orbitally excited charmonium and a light meson. We found that the relativistic corrections lead to a large correction for the form factors, which makes the branching ratios of the decay channels B(B ± c → χcJ (hc) + π ± (K ± )) larger. These results are useful for the phenomenological analysis of the Bc meson decays into P -wave charmonium, which shall be tested in the LHCb experiments.

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Section: Phenomenological Discussionmentioning

confidence: 99%

Relativistic corrections to the form factors of B into P-wave orbitally excited charmonium

Zhu

2018

Nuclear Physics B

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“…In the calculation, the heavy quark mass are adopted as m c = 1.4 ± 0.1GeV, m b = 4.9 ± 0.1GeV [23,37]. The masses of D ( * ) s are adopted as m Ds = 1.968GeV and m D * s = 2.112GeV [3].…”

Section: Decay Ratios Of Bcmentioning

confidence: 99%

Relativistic corrections to the form factors of Bc into S -wave charmonium

Zhu

Han

et al. 2017

Phys. Rev. D

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We investigate the form factors of Bc meson into S-wave charmonium within the nonrelativistic QCD effective theory and obtain the next-to-leading order relativistic corrections to the form factors, where both the Bc meson and the charmonium are treated as the nonrelativistic bound states. Treating the charm quark as a light quark in the limit mc/m b → 0, some form factors are identical at the maximum recoil point, which are consistent with the predictions in the heavy-quark effective theory and the large-energy effective theory. Considering that the branching ratios of B have been measured by the LHCb and ATLAS Collaborations recently, we employ the form factors of Bc meson into S-wave charmonium at the next-to-leading order accuracy to these two decay channels and obtain more precise predictions of their decay rates. Numerical results indicate that the factorizable diagrams dominate the contribution in these two channels, while the colour-suppressed and the annihilation diagrams contribute less than 10 percent. Our results are consistent with the LHCb and ATLAS data.

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“…The covariant projection method is useful to calculate the perturbative short-distance coefficients [11][12][13]. The Dirac spinors for the heavy quark with momentum p 1 and antiquark with momentum p 2 have the explicit forms…”

Section: Factorization Formulae a Nrqcd Ldmes And Covariant Projmentioning

confidence: 99%

Radiative hc/b decays to η or η′
Zhu
¹
,
Dai
²

2016
Phys. Rev. D
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Motivated by recent measurements of the radiative decay rates of the P -wave spin singlet charmonium hc to the light meson η or η by the BESIII Collaboration, we investigate the decay rates of these channels at order αα 4 s . The photon is radiated mainly from charm quark pairs in the lowest order Feynman diagrams, since the diagrams where a photon radiated from light quarks are suppressed by αs or the relative charm quark velocity v, due to Charge parity conservation. The form factors of two gluons to η or η are employed, which are the major mechanism for η and η productions. η(η ) is treated as a light cone object when we consider that the parent charmonium mass is much heavier than that of the final light meson. We obtain the branching ratio B(hc → γη ) = (1.94in the nonrelativistic QCD approach, which is in agreement with the BESIII measurement. The prediction of the branching ratio of hc → γη is also within the range of experimental error after including the larger uncertainty of the total decay width Γ hc . The applications of these formulae to the radiative decays to η(η ) of the P -wave spin singlet bottomonium h b (nP ) are presented. These studies will shed some light on the η − η mixing effects, the flavor SU(3) symmetry breaking, as well as the nonperturbative dynamics of charmonium and bottomonium.

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Exclusive decay of the upsilon intohc, theX(3940)andX(

Cited by 13 publications

References 78 publications

Relativistic corrections to the form factors of B into P-wave orbitally excited charmonium

Relativistic corrections to the form factors of B into P-wave orbitally excited charmonium

Relativistic corrections to the form factors of Bc into S -wave charmonium

Radiative hc/b decays to η or η′
Zhu
¹
,
Dai
²

2016
Phys. Rev. D
Self Cite
17
1
20
0
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Exclusive decay of the upsilon intohc, theX(3940)andX(

Cited by 13 publications

References 78 publications

Relativistic corrections to the form factors of B into P-wave orbitally excited charmonium

Relativistic corrections to the form factors of B into P-wave orbitally excited charmonium

Relativistic corrections to the form factors of Bc into S -wave charmonium

Radiative hc/b decays to η or η′Zhu1, Dai2 2016Phys. Rev. DSelf Cite171200View full textAdd to dashboardCite

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Radiative hc/b decays to η or η′
Zhu
¹
,
Dai
²

2016
Phys. Rev. D
Self Cite
17
1
20
0
View full text Add to dashboard Cite