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Hadrons with charm and beauty

E. Bagan
(
- Barcelona, Autonoma U. and
- Heidelberg U.
)
,
Hans Gunter Dosch
(
- Heidelberg U.
)
,
P. Gosdzinsky
(
- Barcelona, Autonoma U.
)
,
Stephan Narison
(
- Montpellier U. and
- CERN
)
,
J.M. Richard
(
- LPSC, Grenoble and
- ECT, Trento
)

Feb, 1994

38 pages

Published in:

Z.Phys.C 64 (1994) 57-72

e-Print:

hep-ph/9403208 [hep-ph]

DOI:

10.1007/BF01557235

Report number:

UAB-FT-325,
CERN-TH-7141-94,
HD-THEP-93-51,
ISN-93-123,
PM-93-44

View in:

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Abstract: (arXiv)

By combining potential models and QCD spectral sum rules (QSSR), we discuss the spectroscopy of the

(b\bar c)

mesons and of the

(bcq)

,

(ccq)

and

(bbq)

baryons (

{q}\equiv {d}

or

s

), the decay constant and the (semi)leptonic decay modes of the

B_c

meson. For the masses, the best predictions come from potential models and read:

M_{B_c} = (6255 \pm 20)

~MeV,

M_{B^*_c} = (6330 \pm 20)

~MeV,

M_{\Lambda(bcu)} = (6.93\pm 0.05)

~GeV,

M_{\Omega(bcs)} = (7.00\pm 0.05)

~GeV,

M_{\Xi^*(ccu)} =(3.63\pm 0.05)

~GeV and

M_{\Xi^*(bbu)} = (10.21\pm 0.05)

~GeV. The decay constant

f_{B_c} = (2.94 \pm 0.21) f_\pi

is well determined from QSSR and leads to:

\Gamma(B_c \rightarrow \nu_\tau \tau) = (3.0 \pm 0.4)( V_{cb}/0.037 )^2

\times 10^{10}

s

^{-1}

.The uses of the vertex sum rules for the semileptonic decays of the

B_c

show that the

t

-dependence of the form factors is much stronger than predicted by vector meson dominance. It also predicts the almost equal strength of about 0.30

\times 10^{10}

sec

^{-1}

for the semileptonic rates

B_c

into

B_s, B^*_s,\eta_c

and J/

\psi

. Besides these phenomenological results, we also show explicitly how the Wilson coefficients of the

\langle\alpha_s G^2\rangle

and

\langle G^3\rangle

gluon condensates already contain the full heavy quark- (

\langle\bar QQ\rangle

) and mixed- (

\langle\bar QGQ\rangle

) condensate contributions in the OPE.}

Note:

32 pages, LaTeX, no changes in the 1994 paper, latex errors corrected in 2014

hadron spectroscopy
bottom meson
charmed meson
bottom baryon: mass
mass: bottom baryon
charmed baryon: mass
mass: charmed baryon
quantum chromodynamics
sum rule
potential: model

References(56)

Figures(7)

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)

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,
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)
,
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)

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