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We investigate the problem of extracting a static potential between a quark and its antiquark in a quark-gluon plasma (QGP) from lattice-QCD computations of the singlet free energy, $F_{Q\bar{Q}}(r)$. We utilize the thermodynamic $T$-matrix…

High Energy Physics - Phenomenology · Physics 2015-02-02 Shuai Y. F. Liu , Ralf Rapp

The interaction potential between a pair of heavy quarks is calculated with resummed perturbation method in Gribov-Zwanziger approach at finite temperature. The resummed loop correction makes the potential complex. While the real part is,…

High Energy Physics - Phenomenology · Physics 2022-07-13 Wan Wu , Guojun Huang , Jiaxing Zhao , Pengfei Zhuang

We use the variational method, in a reformulated Hamiltonian formalism of QCD, to derive the wave equation for a heavy quark-antiquark system using a trial state that contains a component with a virtual light quark pair. We examine the…

High Energy Physics - Theory · Physics 2013-09-11 Alexander Chigodaev , Jurij W. Darewych

We study Dick quark-antiquark potential (up to a color factor) $V_D(r)={-\alpha_s \over r} + gf \sqrt{N_c \over {2(N_c-1)}} \ln[exp(2mr)-1]$ in the heavy meson sector. This potential emerges from an effective dilaton-gluon coupling inspired…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Barakat , M. Chabab

We implement our past investigations in the quark-antiquark interaction through a non-perturbative running coupling defined in terms of a gluon mass function, similar to that used in some Schwinger-Dyson approaches. This coupling leads to a…

High Energy Physics - Phenomenology · Physics 2016-11-15 Cesar Ayala , Pedro Gonzalez , Vicente Vento

Doubly heavy baryons $\left(QQq\right)$ and singly heavy antimesons $\left(\bar{Q}q\right)$ are related by the heavy quark-diquark (HQDQ) symmetry because in the $m_Q \to \infty$ limit, the light degrees of freedom in both the hadrons are…

High Energy Physics - Phenomenology · Physics 2019-10-22 Thomas Mehen , Abhishek Mohapatra

We employ a nonrelativistic version of QCD (NRQCD) to study heavy quark-antiquark bound states in the lowest approximation without fine structure. We use gluon configurations on a 16^3 by 48 lattice at beta=6.2 from the UKQCD collaboration.…

High Energy Physics - Lattice · Physics 2010-11-01 S. Catterall , F. Devlin , I. Drummond , R. Horgan , A. Simpson

The potential of a static quark-antiquark pair is studied in the range 0.05 fm $<$ r $<$ 0.8 fm, employing a sequence of lattices up to 64^4. The continuum quantities are evaluated by extrapolation of the data at finite lattice spacing. The…

High Energy Physics - Lattice · Physics 2009-11-07 Silvia Necco

We calculate Wilson loop (quark anti-quark potential) in dS/CFT correspondence. The brane-world model is considered where bulk is two 5d Euclidean de Sitter spaces and boundary (brane) is 4d de Sitter one. Starting from the Nambu-Goto…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We present an analytic nonperturbative solution of the Yakubovsky equation for tetraquark states in the case of equal separations and energies, and demonstrate a direct connection between the tetraquark confinement potential and the…

High Energy Physics - Phenomenology · Physics 2014-06-25 Carina Popovici , Christian S. Fischer

The relativistic corrections to the static potential, i.e. the O(1/m) correction, the O(1/m^2) spin-dependent and momentum-dependent corrections are investigated in SU(3) lattice gauge theory. These corrections are relevant ingredients of…

High Energy Physics - Lattice · Physics 2010-11-05 Yoshiaki Koma , Miho Koma

We calculate the leading mass-suppressed two-loop contribution, proportional to alpha_s^3/(m_q r^2), to the potential of a heavy quark-antiquark system. This contribution originates in the nonabelian nature of quantum chromodynamics (QCD)…

High Energy Physics - Phenomenology · Physics 2011-07-19 Bernd A. Kniehl , Alexander A. Penin , Vladimir A. Smirnov , Matthias Steinhauser

Nambu-Goto action of bosonic string predicts the quark-antiquark potential to be $ V (r) = \frac{\gamma}{r} + \sigma r +\mu_0 $. The coefficient$ \gamma = - \frac{\pi(d-2)}{24} $ is the universal L\"{u}scher coefficient of the L\"uscher…

High Energy Physics - Phenomenology · Physics 2013-05-15 Sabyasachi Roy , D. K. Choudhury

We present an analytical calculation of the two-loop QCD corrections to the electromagnetic form factor of heavy quarks. The two-loop contributions to the form factor are reduced to linear combinations of master integrals, which are…

High Energy Physics - Phenomenology · Physics 2009-07-29 J. Gluza , A. Mitov , S. Moch , T. Riemann

The leading nonperturbative QCD corrections to the one gluon exchange quark-quark, quark-antiquark and $q \bar{q}$ pair-excitation potentials are derived by using a covariant form of nonlocal two-quark and two-gluon vacuum expectation…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. J. Yang , H. Q. Shen , G. L. Li , T. Huang , P. N. Shen

Potential non-relativistic QCD provides a convenient framework to study the three heavy-quark system. We have studied its symmetries under exchange of the heavy quarks and determined the leading ultrasoft contributions to the singlet static…

High Energy Physics - Phenomenology · Physics 2013-01-18 Felix Karbstein

Four-quark potentials for $SU(2)$ are evaluated in the static limit with the quenched approximation -- using a lattice of $16^3\times 32$ and $\beta=2.4$. The four quarks are restricted to the corners of rectangles with sides upto seven…

High Energy Physics - Lattice · Physics 2008-11-26 A. M. Green , C. Michael , J. E. Paton

We search for possibly existent bound states in the heavy-light tetraquark channels with quark content $ \bar{b}\bar{b}ud $, $ \bar{b}\bar{b}us $ and $ \bar{b}\bar{c}ud $ using lattice QCD. We carry out calculations on several gauge link…

High Energy Physics - Lattice · Physics 2020-09-23 Martin Pflaumer , Luka Leskovec , Stefan Meinel , Marc Wagner

We study the heavy-heavy-light quark ($QQq$) potential in SU(3) quenched lattice QCD, and discuss one of the roles of the finite-mass valence quark in the inter-quark potential. Monte Carlo simulations are performed with the standard gauge…

High Energy Physics - Lattice · Physics 2008-11-26 Arata Yamamoto , Hideo Suganuma , Hideaki Iida

Energy spectrum of doubly heavy tetraquarks, $T_{QQ}$ ($QQ \bar{q} \bar{q}$ with $Q = c, b$ and $q = u, d, s$), is studied in the potential chiral-diquark model. Using the chiral effective theory of diquarks and the quark-diquark-based…

High Energy Physics - Phenomenology · Physics 2022-04-25 Yonghee Kim , Makoto Oka , Kei Suzuki