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We compute NRQCD long-distance matrix elements that appear in the inclusive production cross sections of $P$-wave heavy quarkonia in the framework of potential NRQCD. The formalism developed in this work applies to strongly coupled…

High Energy Physics - Phenomenology · Physics 2021-11-12 Hee Sok Chung

This paper proposes a strong second-order two-step explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for solving a two-dimensional Gray-Scott model subject to appropriate initial and boundary…

Numerical Analysis · Mathematics 2026-04-15 Eric Ngondiep

In the heavy quarkonium decay process $ V \to ggg $ ($ V=J/\psi, \Upsilon $), making a definite prediction including relativistic corrections has so far remained a significant challenge. In this work, we study this decay process by taking…

High Energy Physics - Phenomenology · Physics 2026-03-12 Hong-Mei Jiang , Chao-Jie Fan , Jun-Kang He , Cui Kong

We present a scheme for calculating in NRQCD with consistent power counting in the heavy quark velocity v. As an example, we perform the systematic matching of an external current onto NRQCD at subleading order in v, a calculation relevant…

High Energy Physics - Phenomenology · Physics 2009-10-30 Michael Luke , Martin J. Savage

We discuss the computation of two-body matrix elements from the Argonne $v_{18}$ interaction. The matrix elements calculation is presented both in particle-particle and in particle-hole angular momentum coupling. The procedures developed…

Nuclear Theory · Physics 2007-05-23 Bogdan Mihaila , Jochen H. Heisenberg

We present a simple method to automatically evaluate arbitrary tree-level amplitudes involving the production or decay of a heavy quark pair QQbar in a generic {2S+1}L_J^[1,8] state, i.e., the short distance coefficients appearing in the…

High Energy Physics - Phenomenology · Physics 2009-12-15 P. Artoisenet , F. Maltoni , T. Stelzer

We investigate the spectroscopy and decays of the charm-strange quarkonium system in a potential model consisting of a relativistic kinetic energy term, a linear confining term including its scalar and vector relativistic corrections and…

High Energy Physics - Phenomenology · Physics 2009-09-02 Stanley F. Radford , Wayne W. Repko , Michael J. Saelim

n this paper I discuss what we can learn about quarkonium dissociation from lattice-potential based models. Special emphasis is given to results obtained in agreement by different models, and to the relevance of lattice QCD for potential…

High Energy Physics - Phenomenology · Physics 2009-07-22 Agnes Mocsy

Recent calculations of heavy quark cross sections near threshold at next-to-next-to-leading order have found second-order corrections as large as first-order ones. We analyse long-distance contributions to the heavy quark potential in…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Beneke

We compare the color-evaporation model (CEM) and nonrelativistic QCD (NRQCD) factorization predictions for inclusive quarkonium production. Using the NRQCD factorization formulas for quarkonium production and for perturbative QQ-bar…

High Energy Physics - Phenomenology · Physics 2009-11-11 Geoffrey T. Bodwin , Eric Braaten , Jungil Lee

We determine the leading-order nonrelativistic quantum chromodynamics (NRQCD) matrix element < O_1 >_Upsilon and the ratio < q^2>_Upsilon, for Upsilon=Upsilon(nS) with n=1, 2, and 3 by comparing the measured values for Gamma[Upsilon -> e^+…

High Energy Physics - Phenomenology · Physics 2011-02-16 Hee Sok Chung , Jungil Lee , Chaehyun Yu

We study QCD in 1+1 dimensions in the large Nc limit using light-front Hamiltonian perturbation theory in the 1/Nc expansion. We use this formalism to exactly compute hadronic transition matrix elements for arbitrary currents at leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jorge Mondejar

Based on the observation that the heavy quark-antiquark potential value at infinity corresponds to twice the D meson mass, we constrain the asymptotic value of the heavy quark potential in a hot medium through a QCD sum rule calculation of…

High Energy Physics - Phenomenology · Physics 2020-06-30 Philipp Gubler , Taesoo Song , Su Houng Lee

This thesis presents the setup and results of numerical calculation of hadronic matrix elements of Delta S=1 weak operators, with the aim of studying the Delta I=1/2 rule and direct CP violation. Such study provides a useful comparison of…

High Energy Physics - Lattice · Physics 2007-05-23 D. Pekurovsky

We present a new factorization theorem for the decay rates of P-wave states of heavy quarkonia. Infrared logarithms that had appeared in previous perturbative calculations of P-wave decays are absorbed into a quantity that is related to the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Geoffrey T. Bodwin , Eric Braaten , G. Peter Lepage

We study QCD in 1+1 dimensions in the large $N_c$ limit using light-front Hamiltonian perturbation theory in the $1/N_c$ expansion. We use this formalism to exactly compute hadronic transition matrix elements for arbitrary currents at…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jorge Mondejar , Antonio Pineda , Joan Rojo

While non-relativistic QCD (NRQCD) foresees a variety of elementary quarkonium production mechanisms naturally leading to state-dependent kinematic patterns, the LHC cross sections and polarization measurements reveal a remarkably simple…

High Energy Physics - Phenomenology · Physics 2017-10-11 Pietro Faccioli , Mariana Araújo , Valentin Knünz , Ilse Krätschmer , Carlos Lourenço , João Seixas

We explore the in-medium properties of heavy-quarkonium states at finite baryo-chemical potential and finite transverse momentum based on a modern complex-valued potential model. Our starting point is a novel, rigorous derivation of the…

High Energy Physics - Phenomenology · Physics 2020-03-12 David Lafferty , Alexander Rothkopf

Recent developments in heavy quarknoium physics are reviewed in brief, including (i) nonrelativistic QCD(NRQCD), (ii) the importance of color-octet $(Q\bar{Q})$ components in the decay and the production of a physical heavy quarkonium…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pyungwon Ko

Motivated by the present interest in the heavy quark effective theory, we use the spectator equation to treat the mesonic bound states of heavy quarks. The kernel we use is based on scalar confining and vector Coulomb potentials. Wave…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Zeng , J. W. Van Orden , W. Roberts