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The quantum bootstrap method is applied to determine the bound-state spectrum of Quarkonium systems using a non-relativistic potential approximation. The method translates the Schr\"odinger equation into a set of algebraic recursion…

High Energy Physics - Phenomenology · Physics 2026-01-23 Jairo Alexis Lopez , Carlos Sandoval

We have investigated $B_c$ spectroscopy with the use of a quantum-chromodynamic potential model which was recently used by us for the light-heavy quarkonia. We give our predictions for the energy levels and the $E$1 transition widths. We…

High Energy Physics - Phenomenology · Physics 2011-01-27 Suraj N. Gupta , James M. Johnson

The relativistic correction to the QCD static inter-quark potential at O(1/m) is investigated nonperturbatively for the first time by using lattice Monte Carlo QCD simulations. The correction is found to be comparable with the Coulombic…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshiaki Koma , Miho Koma , Hartmut Wittig

Quarkonia, which are bound states of a heavy quark and antiquark, play a key role in probing the quark-gluon plasma (QGP). The dynamics of quarkonia in the QGP are encoded in their finite-temperature spectral functions. In this work, we…

High Energy Physics - Lattice · Physics 2025-05-19 Sajid Ali , Dibyendu Bala , Olaf Kaczmarek , Pavan

We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static…

High Energy Physics - Lattice · Physics 2009-04-14 M. Laine , O. Philipsen , M. Tassler

Although individual levels of toponium will be unobservable, the top--anti--top system near threshold fulfills all requirements of a rigorous perturbation theory in QCD for weakly bound systems. Corresponding techniques from positronium may…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Kummer , W. Moedritsch

In the framework of potential models for heavy quarkonium the mass spectrum for the system ($\bar b c$) is considered. Spin-dependent splittings, taking into account a change of a constant for effective Coulomb interaction between the…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. V. Kiselev , A. K. Likhoded , A. V. Tkabladze

Properties of single beauty baryons ($\Sigma_{b},\Lambda_{b}$) are studied based on the quark-diquark structure. The confinement potential is assumed as two body colour coulomb plus power potential with exponent $\nu$. We find a strong…

High Energy Physics - Phenomenology · Physics 2011-02-22 Ajay Majethiya , Kaushal Thakkar , P. C. Vinodkumar

We formulate a QCD-based effective theory approach to heavy quarkonia-like systems as $\bar{c} c$ and $\bar{b} b$ resonances and $B_c$ states. We apply the method to inclusive decays, working out a few examples in detail.

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas Mannel , Gerhard A. Schuler

We construct a tridiagonal matrix representation for the three dimensions Dirac-Coulomb Hamiltonian that provides for a simple and straightforward relativistic extension of the complex scaling method. Besides the Coulomb interaction,…

Quantum Physics · Physics 2008-11-26 A. D. Alhaidari

We review a number of results for the spectrum and inclusive decays of heavy quarkonium systems which can be derived from QCD under well controlled approximations. They essentially follow from the hierarchy of scales in these systems, which…

High Energy Physics - Phenomenology · Physics 2009-11-10 Joan Soto

The QCD-motivated constituent string model is extended to consider the baryon. The system of three quarks propagating in the confining background field is studied in the Wilson loop approach, and the effective action is obtained. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. S. Kalashnikova , A. V. Nefediev

We have extended our program of QCD simulations with an improved Kogut-Susskind quark action to a smaller lattice spacing, approximately 0.09 fm. Also, the simulations with a approximately 0.12 fm have been extended to smaller quark masses.…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , C. DeTar , Steven Gottlieb , E. B. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. Sugar , D. Toussaint

In this work, we calculate the charmonium spectrum and strong decay widths of cc states. The calculations are performed using the quark potential model with which incorporates the relativistic effects. The resulting cc spectrum exhibits a…

High Energy Physics - Phenomenology · Physics 2025-04-11 Zaki Ahmad , Ishrat Asghar , Faisal Akram , Bilal Masud

In this paper, in the framework of NRQCD we study the light hadron (LH) decays of the spin-triplet (S=1) D-wave heavy quarkonia. The short distance coefficients of all Fock states in the $^3D_J(J=1,2,3)$ quarkonia including D-wave…

High Energy Physics - Phenomenology · Physics 2010-05-12 Zhi-Guo He , Ying Fan , Kuang-Ta Chao

Fluctuations of conserved charges such as baryon number, electric charge and strangeness may provide a test for completeness of states in lattice QCD for three light flavors. We elaborate on the idea that the corresponding susceptibilities…

High Energy Physics - Phenomenology · Physics 2019-04-24 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We investigate bottomonia splittings by solving a Schrodinger-Pauli-type equation with parametrisations of QCD potentials around those that have been determined previously in lattice simulations. This is done both, in the continuum and on…

High Energy Physics - Lattice · Physics 2010-11-19 Gunnar S. Bali , Peter Boyle

We present a preliminary computation of potentials between two static quarks in $n_f=2$ QCD with O(a) improved Wilson fermions. We explore different smearing choices (HYP, HYP2 and APE) and their effect on the signal to noise ratio in the…

High Energy Physics - Lattice · Physics 2020-06-23 Marco Catillo , Marina Krstić Marinković , Pedro Bicudo , Nuno Cardoso

String breaking by dynamical quarks in three-dimensional lattice QCD is analyzed through measurements of the potential and the local color-electric field strength generated by a static quark-antiquark pair. Simulations were done for…

High Energy Physics - Lattice · Physics 2009-11-10 Howard D. Trottier , Kit Yan Wong

We show how radiative QCD corrections calculated in terms of quarks can be incorporated at the hadron level in inclusive semileptonic B-meson decays. The bound state effects are described by a momentum distribution function of the $b$…

High Energy Physics - Phenomenology · Physics 2011-09-13 Changhao Jin , Emmanuel A. Paschos
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