Light-front heavy-quark effective theory and heavy-meson bound states

AbstractThe ladder kernel of the Bethe–Salpeter equation is amended by introducing a different flavor dependence of the dressing functions in the heavy-quark sector. Compared with earlier work this allows for the simultaneous calculation of the mass spectrum and leptonic decay constants of light pseudoscalar mesons, the $$D_u$$ D u , $$D_s$$ D s , $$B_u$$ B u , $$B_s$$ B s and $$B_c$$ B c mesons and the heavy quarkonia $$\eta _c$$ η c and $$\eta _b$$ η b within the same framework at a physical pion mass. The corresponding Bethe–Salpeter amplitudes are projected onto the light front and we reconstruct the distribution amplitudes of the mesons in the full theory. A comparison with the first inverse moment of the heavy meson distribution amplitude in heavy quark effective theory is made.

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HEAVY QUARK EFFECTIVE THEORY ON THE LIGHT FRONT

International Journal of Modern Physics A ◽

10.1142/s0217751x96001577 ◽

1996 ◽

Vol 11 (18) ◽

pp. 3297-3305 ◽

Cited By ~ 6

Author(s):

WEI-MIN ZHANG ◽

CHI-YEE CHEUNG ◽

GUEY-LIN LIN

Keyword(s):

Heavy Quark ◽

Bound States ◽

Canonical Quantization ◽

Light Front ◽

Effective Theory ◽

Heavy Quark Effective Theory ◽

New Formalism ◽

Heavy Hadron ◽

Quark Spin ◽

Simple Operator

The light front heavy quark effective theory is derived to all orders in 1/mQ. In the limit mQ→∞, the theory exhibits the familiar heavy quark spin-flavor symmetry. This new formalism permits a straightforward canonical quantization to all orders in 1/mQ; moreover, higher order terms have rather simple operator structures. The light front heavy quark effective theory can serve as a useful framework for the study of nonperturbative QCD dynamics of heavy hadron bound states.

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Exclusive heavy meson pair production by γγ collision in heavy quark effective theory

Physics Letters B ◽

10.1016/0370-2693(92)91342-7 ◽

1992 ◽

Vol 296 (3-4) ◽

pp. 420-424 ◽

Cited By ~ 3

Author(s):

S.Y. Choi ◽

H.S. Song

Keyword(s):

Pair Production ◽

Heavy Quark ◽

Heavy Meson ◽

Effective Theory ◽

Heavy Quark Effective Theory ◽

Meson Pair

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SPIN ALIGNMENT OF HEAVY MESON REVISITED

International Journal of Modern Physics A ◽

10.1142/s0217751x03014708 ◽

2003 ◽

Vol 18 (08) ◽

pp. 1351-1356

Author(s):

J. P. MA

Keyword(s):

Heavy Quark ◽

B Meson ◽

Heavy Meson ◽

Effective Theory ◽

Spin Density Matrix ◽

Complete Agreement ◽

Heavy Quark Effective Theory ◽

Matrix Elements ◽

Spin Alignment ◽

Nonperturbative Effect

Using heavy quark effective theory a factorized form for inclusive production rate of a heavy meson can be obtained, in which the nonperturbative effect related to the heavy meson can be characterized by matrix elements defined in the heavy quark effective theory. Using this factorization, predictions for the full spin density matrix of a spin-1 and spin-2 meson can be obtained and they are characterized only by one coefficient representing the nonperturbative effect. Predictions for spin-1 heavy meson are compared with experiment performed at e+e- colliders in the energy range from [Formula: see text] to [Formula: see text], a complete agreement is found for D*- and B*-meson. There are distinct differences from the existing approach and they are discussed.

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