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相关论文: Analytical Heavy Quark Expansion in the 't Hooft M…

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We address nonperturbative power corrections to inclusive decay widths of heavy flavor hadrons in the context of the 't Hooft model (two-dimensional QCD at N_c->oo), with the emphasis on the spectator-dependent effects sensitive to the…

高能物理 - 唯象学 · 物理学 2014-11-17 Ikaros Bigi , Nikolai Uraltsev

We continue analytical study of the meson mass spectrum in the large-$N_c$ two-dimensional QCD, known as the 't Hooft model, by addressing the most general case of quarks with unequal masses. Based on our previous work, we develop…

高能物理 - 理论 · 物理学 2025-04-17 Aleksandr Artemev , Alexey Litvinov , Pavel Meshcheriakov

We average the decay width of a heavy meson in the t' Hooft model over the heavy quark mass M with a smooth weight function. The averaging has support over a few resonance spacings. We use the previously determined heavy meson decay width…

高能物理 - 唯象学 · 物理学 2009-11-07 Benjamin Grinstein

Achievements in the heavy quark theory over the last decade are reviewed, with the main emphasis put on dynamical methods which quantify nonperturbative effects via application of the Operator Product Expansion. These include the total weak…

高能物理 - 唯象学 · 物理学 2016-11-23 Nikolai Uraltsev

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a laboratory for exploring various aspects of the heavy quark expansions in the nonleptonic and semileptonic decays of heavy flavors. We perform a…

高能物理 - 唯象学 · 物理学 2014-11-17 I. Bigi , M. Shifman , N. Uraltsev , A. Vainshtein

The dressed heavy quark mass \hat{m}_Q=m_Q+\bar{{\Lambda}} with \bar{{\Lambda}} being the binding energy is introduced to characterize the heavy hadrons containing a single heavy quark. A heavy quark expansion in terms of the inverse of the…

高能物理 - 唯象学 · 物理学 2011-03-18 Wen-Yu Wang , Yue-Liang Wu , Fang Ye

We address numerical aspects of local quark-hadron duality using the example of the exactly solvable 't Hooft model, two-dimensional QCD with N_c --> infinity. The primary focus of these studies is total semileptonic decay widths relevant…

高能物理 - 唯象学 · 物理学 2014-11-17 Richard F. Lebed , Nikolai G. Uraltsev

Within the complete heavy quark effective field theory (HQEFT), the QCD sum rule approach is used to evaluate the decay constants including 1/m_Q corrections and the Isgur-Wise function and other additional important wave functions…

高能物理 - 唯象学 · 物理学 2015-06-25 W. Y. Wang , Y. L. Wu

Pauli Interference in decays of heavy flavor mesons, a genuinely nonleptonic nonperturbative effect, is considered in the 't Hooft model. Analytic summation of the exclusive decay widths yields the same expression as obtained in the…

高能物理 - 唯象学 · 物理学 2014-11-17 Ikaros Bigi , Nikolai Uraltsev

Exclusive semileptonic decays of B mesons to orbitally excited D mesons are considered beyond the infinitely heavy quark limit in the framework of the relativistic quark model based on the quasipotential approach. This model agrees with the…

高能物理 - 唯象学 · 物理学 2009-10-31 D. Ebert , R. N. Faustov , V. O. Galkin

Explicit quark-hadron duality in the limit of heavy quark mass is studied using the 't Hooft model, where both partonic and hadronic amplitudes may be computed exactly. Results for weak decays of heavy mesons are presented for both standard…

高能物理 - 唯象学 · 物理学 2007-05-23 Richard F. Lebed

We study 't Hooft's integral equation determining the meson masses M_n in multicolor QCD_2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m_1=m_2=g/\sqrt{\pi}.…

高能物理 - 理论 · 物理学 2015-05-13 V. A. Fateev , S. L. Lukyanov , A. B. Zamolodchikov

We study 't Hooft's equation for bound states in 2d multicolor QCD. We consider the case of quarks with equal masses. We derive asymptotic expansions for the spectrum of mesons in different regimes and study their properties.

高能物理 - 理论 · 物理学 2010-08-25 Iskander Ziyatdinov

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a testground for calculations of nonleptonic and semileptonic inclusive widths of heavy flavors based on the operator product expansion (OPE). The…

高能物理 - 唯象学 · 物理学 2007-05-23 Arkady Vainshtein

We extend our relativistic quark model to the study of the decay Lambda_b -> Lambda_c ell nu and verify that the model satisfies the heavy-quark symmetry constraints at order 1/mQ^2. We isolate a strong dependence on a parameter which…

高能物理 - 唯象学 · 物理学 2010-11-01 B. Holdom , M. Sutherland , J. Mureika

We study lifetimes of heavy mesons in the 't Hooft model, a large-$N_c$ theory of strong interaction in two-dimensional spacetime. Since this model is solvable, one can evaluate the total decay widths through hadronic amplitudes that are…

高能物理 - 唯象学 · 物理学 2021-12-29 Hiroyuki Umeeda

We study in detail deep inelastic scattering in the 't Hooft model. We are able to analytically check current conservation and to obtain analytic expressions for the matrix elements with relative precision O(1/Q^2) for 1-x >> \beta^2/Q^2.…

高能物理 - 唯象学 · 物理学 2013-05-29 Jorge Mondejar , Antonio Pineda

We study the spectrum of meson masses in large $N_c$ QCD$_2$ governed by celebrated 't Hooft's integral equation. We generalize analytical methods proposed by Fateev, Lukyanov and Zamolodchikov to the case of arbitrary, but equal quark…

高能物理 - 理论 · 物理学 2025-04-17 Alexey Litvinov , Pavel Meshcheriakov

I review the status of the modern theoretical approach to weak decays of heavy flavor hadrons based on the 1/m_Q expansion in QCD. The qualitative features are explained and the subtleties in simultaneously incorporating perturbative and…

高能物理 - 唯象学 · 物理学 2014-11-17 N. G. Uraltsev

We compute the nonleptonic weak decay width of a heavy-light meson in 1+1 spacetime dimensions with a large number of QCD colors (the 't Hooft model) as a function of the heavy quark mass. In this limit, QCD is exactly soluble, and decay…

高能物理 - 唯象学 · 物理学 2009-10-30 Benjamin Grinstein , Richard F. Lebed
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