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The perturbatively calculable short distance QCD potential is known to two loops including the effect of massive quarks. Recently, a simple approximate solution in momentum space was utilized to obtain the potential in coordinate space. The…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles

We determine the $1/m$ and $1/m^2$ spin-independent heavy quarkonium potentials in the unequal mass case with $\mathcal O(\alpha^3)$ and $\mathcal O(\alpha^2)$ accuracy, respectively. We discuss in detail different methods to calculate the…

High Energy Physics - Phenomenology · Physics 2018-09-25 Clara Peset , Antonio Pineda , Maximilian Stahlhofen

The static Coulomb potential energy between the electron and positron at rest separated by a large distance $R$ obtained from the Wilson loop in QED is same as the Coulomb potential energy obtained in the classical Maxwell theory. Since the…

General Physics · Physics 2019-12-18 Gouranga C Nayak

The ground state and excited spectra of baryons containing three identical heavy quarks, $b$ or $c$, have been recently calculated in nonperturbative lattice QCD. The energy of positive and negative parity excitations has been determined…

High Energy Physics - Phenomenology · Physics 2015-07-19 J. Vijande , A. Valcarce , H. Garcilazo

Lattice QCD simulations of the potential between two baryons, each containing a heavy quark and two light quarks, such as the Lambda_Q-Lambda_Q potential, will provide insight into the nucleon-nucleon interaction. As one-pion exchange does…

Nuclear Theory · Physics 2009-11-10 Daniel Arndt , Silas R. Beane , Martin J. Savage

Three different ways of determining the strange quark mass using QCD sum rules are reviewed. First, from a QCD sum rule determination of the up and down quark masses, together with the current algebra ratio $ m_{s}/(m_{u}+m_{d})$. Second…

High Energy Physics - Phenomenology · Physics 2011-02-01 C. A. Dominguez

The potential between heavy quarks can be rigorously defined in a QCD effective field theories framework. I discuss the general situation when the coupling constant may not be considered small and provide an explicit expression for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Antonio Vairo

In this Chapter QCD interactions between a quark and an anti-quark are discussed. In the heavy quark limit these potentials can be related to quarkonia and $1/m$ corrections can be systematically determined. Excitations of the ground state…

Nuclear Theory · Physics 2018-09-26 G. Bali , A. M. Green

The strange quark mass is determined from a study of the correlator of the divergence of the strange vector current using a family of finite energy sum rules recently shown to be very accurately satisfied in the isovector vector channel. It…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Maltman

We obtain the binding energy of an infinitely heavy quark-antiquark pair from Dirac brackets by computing the expectation value of the pure QCD Hamiltonian. This procedure exploits the rich structure of the dressing around static fermions.…

High Energy Physics - Theory · Physics 2014-11-18 Patricio Gaete

We describe the effects of the strange quark mass and of the color and electric neutrality on the superconducing phases of QCD.

High Energy Physics - Phenomenology · Physics 2017-08-23 Roberto Casalbuoni

The status of lattice determinations of quark masses is reviewed (with the exception of m_b). Attempts to extract the low-energy constants in the effective chiral Lagrangian are discussed, with special emphasis on those couplings which are…

High Energy Physics - Lattice · Physics 2009-11-07 Hartmut Wittig

We show analytically that the QCD potential can be expressed, up to an O(Lambda_QCD^3 r^2) uncertainty, as the sum of a ``Coulomb'' potential (with log corrections at short distances) and a linear potential, within an approximation based on…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Sumino

A formula for an improved spin--dependent potential between a heavy quark and a heavy antiquark was developed using Heavy Quark Effective Theory techniques. The leading logarithmic quark mass terms emerging from loop contributions were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Oakes

Dipole radiation in QCD is derived to the second order in $\alpha_s$. A power-like evolution of the spin-singlet heavy quark operators is obtained to the same accuracy. In particular, ${\cal O}(\alpha_s^2)$ relation between a short-distance…

High Energy Physics - Phenomenology · Physics 2009-10-30 Andrzej Czarnecki , Kirill Melnikov , Nikolaj Uraltsev

We provide a fully analytical determination of the perturbative quark-antiquark static energy in position space as defined by a restricted Fourier transformation from momentum to position space. Such a determination is complicated by the…

High Energy Physics - Phenomenology · Physics 2014-04-24 Felix Karbstein

A phenomenological estimate is derived such that the binding energies of dimesons are expressed as combinations of masses of different mesons and baryons. The estimate is almost model-independent, the only major assumptions being that the…

High Energy Physics - Phenomenology · Physics 2011-01-27 D. Janc , M. Rosina

{}From the deep-inelastic momentum sum rule and the trace anomaly of the energy-momentum tensor, I derive a separation of the nucleon mass into the contributions of the quark and gluon kinetic and potential energies, the quark masses, and…

High Energy Physics - Phenomenology · Physics 2009-10-28 Xiangdong Ji

We determine the hard-loop resummed propagator in an anisotropic QCD plasma in general covariant gauges and define a potential between heavy quarks from the Fourier transform of its static limit. We find that the potential exhibits angular…

High Energy Physics - Phenomenology · Physics 2011-05-05 Yun Guo

Positive powers of the mass parameter in a physical quantity calculated with the help of heavy quark effective theory originate from a Wilson coefficient in the matching of QCD and HQET Green function. We show that this mass parameter…

High Energy Physics - Phenomenology · Physics 2010-11-01 P. Ball , U. Nierste