Covariant light-front model of heavy mesons within heavy quark effective theory

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

Physical Review D ◽

10.1103/physrevd.52.2915 ◽

1995 ◽

Vol 52 (5) ◽

pp. 2915-2925 ◽

Cited By ~ 16

Author(s):

Chi-Yee Cheung ◽

Wei-Min Zhang ◽

Guey-Lin Lin

Keyword(s):

Heavy Quark ◽

Bound States ◽

Heavy Meson ◽

Light Front ◽

Effective Theory ◽

Heavy Quark Effective Theory

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Heavy Quark Symmetry and Fine Structure of the Spectrum of Hadronic Dark Matter

Symmetry ◽

10.3390/sym12111906 ◽

2020 ◽

Vol 12 (11) ◽

pp. 1906

Author(s):

Vladimir Kuksa ◽

Vitaly Beylin

Keyword(s):

Dark Matter ◽

Fine Structure ◽

Heavy Quark ◽

Excited States ◽

Hyperfine Splitting ◽

Mass Splitting ◽

Effective Theory ◽

Heavy Quark Effective Theory ◽

Heavy Mesons ◽

Heavy Quark Symmetry

We analyze the structure of excited states of new heavy hadrons in the scenario with hadronic dark matter. Fine mass-splitting in a doublet of new mesons stipulates the existence of charged metastable heavy mesons. We describe the structure of new meson excited states in the framework of the heavy quark effective theory. Phenomenological consequences of fine and hyperfine splitting are considered in the hadronic dark matter scenario and beyond.

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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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