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We perform a QCD analysis for the radiative decay of a heavy $^3S_1$ quarkonium into the tensor meson $f_2(1270)$. We make an attempt to separate the nonperturbative effect related to the quarkonium and that related to the tensor meson, the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Ma

We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete ${\cal O}(m_q\alpha_s^5)$…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Penin , V. A. Smirnov , M. Steinhauser

We include two loop, relativistic one loop and second order relativistic tree level corrections, plus leading nonperturbative contributions, to obtain a calculation of the lower states in the heavy quarkonium spectrum correct up to, and…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. Pineda , F. J. Yndurain

When the cancellation of the leading renormalon contributions is incorporated, the total energy of a b bbar system, E_{tot,bbbar}(r) = 2 m_{pole,b} + V_QCD(r), agrees well with the potentials used in phenomenological models for heavy…

High Energy Physics - Phenomenology · Physics 2009-11-07 Y. Sumino

Mass spectra of quarkonium systems can be described by different phenomenological potentials. In the present work, the {\color{black}resonance} states of heavy quarkonium like ($c\bar{c}$ and $b\bar{b}$) are considered as the rovibrational…

High Energy Physics - Phenomenology · Physics 2022-07-18 Zheng-Yuan Fang , Ya-Rong Wang , Cheng-Qun Pang

An effective hamiltonian for heavy quarkonia is derived from QCD by separating gluonic fields in background and quantum fields and neglecting anharmonic contributions. Mesonic states with nonperturbative gluonic components are constructed.…

High Energy Physics - Phenomenology · Physics 2009-09-25 C. A. A. Nunes , F. S. Navarra , P. Ring , M. Schaden

The production cross sections of $e^+e^- $ to a heavy quarkonium with $C$-parity even $S-$wave and $P-$wave associated with a photon are analyzed in the framework of non-relativistic Quantum Chromodynamics(NRQCD) factorization formalism.…

High Energy Physics - Phenomenology · Physics 2010-04-15 Wen-Long Sang , Yu-Qi Chen

Both charm and bottom quarks form nonrelativistic bound states analogous to positronium. The J/psi and psi(2S) charmonium states and the first three Upsilon(nS) bottomonium states, all spin-triplet S-wave quarkonium states below…

High Energy Physics - Experiment · Physics 2015-06-18 Eric Braaten , James Russ

The spectra of heavy quarkonia are studied in two approaches: with the use of the Afonin-Pusenkov representation of the Regge trajectory for the squared excitation energy $E^2(nl)$ (ERT), and using the relativistic Hamiltonian with the…

High Energy Physics - Phenomenology · Physics 2019-10-02 A. M. Badalian B. L. G. Bakker

Using a specific scheme of the QCD sum rules, one derives the relation for leptonic constants of $nS$-wave heavy qiarkonia, so $f^2_{n_1}/f^2_{n_2}= n_2/n_1$, that does not depend on the quarkonium content, and it is in a good agreement…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

We calculate the electroweak properties of nucleons and hyperons in a relativistic constituent quark model using the light-front formalism. The parameters of the model, namely the constituent quark mass and the confinement scale, can be…

High Energy Physics - Phenomenology · Physics 2014-11-17 Felix Schlumpf

QCD running coupling constant $\alpha_s(m_c)$ and $\alpha_s(m_b)$ are determined from heavy quarkonia $c\overline{c}$ and $b\overline{b}$ decays. The decay rates of $V\rightarrow 3g$ and $V\rightarrow e^+ e^-$ for $V=J/\psi$ and $\Upsilon$…

High Energy Physics - Phenomenology · Physics 2011-01-27 K. T. Chao , H. W. Huang , Y. Q. Liu

We use the Bodwin-Braaten-Lepage factorization scheme to separate the long- and short-distance factors that contribute to the decay rates of $\Upsilon$, $\eta_b$ (S-wave) and $\chi_b$,$h_b$ (P-wave). The long distance matrix elements are…

High Energy Physics - Lattice · Physics 2008-11-26 G. T. Bodwin , S. Kim , D. K. Sinclair

By the virtues of the Dyson-Schwinger equations, we upgrade the published code \mtt{HELAC} to be capable to calculate the heavy quarkonium helicity amplitudes in the framework of NRQCD factorization, which we dub \mtt{HELAC-Onia}. We…

High Energy Physics - Phenomenology · Physics 2013-08-28 Hua-Sheng Shao

The di-pion spectrum for the $\Upsilon(nS) \to \Upsilon (n'S))$ transition with $n\leq 4$ has the form $\frac{dw}{dq}\sim $ (phase space) $ |\eta-x|^2$, with $x=\frac{q^2-4m^2_\pi}{(\Delta M)^2 -4 m^2_\pi}< q^2 \equiv M^2_{\pi\pi}, $ and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. A. Simonov

It is pointed out that the diagonal amplitude of the $E1-E1$ chromo-electric interaction with soft gluon fields (chromo-polarizability) can be measured directly for the $J/\psi$ and $\Upsilon$ resonances in the decays $J/\psi \to \pi \pi…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. B. Voloshin

We report improved wave function for mesons in QCD potential model approach using multiplicative method for solution of Schr\"{o}dinger equation for the extreme cases of inter-quark separations ($r\rightarrow0$ and $r\rightarrow\infty$).…

High Energy Physics - Phenomenology · Physics 2024-06-26 Abdul Aziz , Sabyasachi Roy , Atri DEshamukhya

Quarkonium resonances in the complex-mass scale are studied. Relativistic quark potential model is used to describe the quark-antiquark system. The complex-mass formula is obtained from two exact asymptotic solutions for the QCD motivated…

High Energy Physics - Phenomenology · Physics 2015-11-25 M. N. Sergeenko

Quark masses are of great prominence in high-energy physics. In this paper, we have studied the heavy meson systems via solving the Lippmann-Schwinger equation by using the Martin potential for heavy quark masses. We have also attempted to…

High Energy Physics - Phenomenology · Physics 2015-08-04 N. Tazimi , M. Monemzadeh , M. R. Hadizadeh

We investigate the weak semileptonic decays of the charmonium $J/\psi$ and bottomonium $\Upsilon(1S)$ into a pseudoscalar meson, namely, the $J/\psi\to D_{(s)}\ell\bar{\nu}_\ell$ and $\Upsilon(1S)\to B_{(c)}\ell\bar{\nu}_\ell$ decays. We…

High Energy Physics - Phenomenology · Physics 2025-06-30 Chien-Thang Tran , Mikhail A. Ivanov , Ngoc-Dung Nguyen , Quang-Chau Vo