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With Gaussian expansion method (GEM), realistic wave functions are used to calculate coupled-channel effects for the bottomonium under the framework of ${}^3P_0$ model. The simplicity and accuracy of GEM are explained. We calculate the mass…

High Energy Physics - Phenomenology · Physics 2016-08-17 Yu Lu , Muhammad Naeem Anwar , Bing-Song Zou

Rare decay process of the Higgs boson into a pair of $J/\Psi$ and $\Upsilon$ particles is studied within perturbative Standard Model and relativistic quark model. The relativistic corrections connected with the relative motion of quarks are…

High Energy Physics - Phenomenology · Physics 2023-03-15 R. N. Faustov , A. P. Martynenko , F. A. Martynenko

Bottomonium S-wave states were studied using lattice NRQCD. Masses of ground and excited states were calculated using multiexponential fitting to a set of correlation functions constructed using both local and wavefunction-smeared…

High Energy Physics - Lattice · Physics 2011-11-15 Randy Lewis , R. M. Woloshyn

We use QCD Laplace sum-rules to explore mixing between conventional mesons and hybrids in the heavy quarkonium vector $J^{PC}\!=\!1^{--}$ channel. Our cross-correlator includes perturbation theory and contributions proportional to the…

High Energy Physics - Phenomenology · Physics 2018-09-03 A. Palameta , J. Ho , D. Harnett , T. G. Steele

I review recent calculations of the suppression of bottomonium states in heavy ion collisions. A non-relativistic potential is used which is complex valued. This allows one to extract the binding energies and decay widths of the ground and…

Nuclear Theory · Physics 2013-05-14 Michael Strickland

The exact solution of N- dimensional radial Schr\"odinger equation with the generalized Cornell potential has been obtained using the Laplace transformation (LT) method. The energy eigenvalues and the corresponding wave functions for any…

High Energy Physics - Phenomenology · Physics 2018-02-15 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

We revisit the nonrelativistic quark model description of electromagnetic radiative decays in bottomonium. We show that even for the simplest spectroscopic quark model the calculated widths can be in good agreement with data once the…

High Energy Physics - Phenomenology · Physics 2020-01-09 R. Bruschini , P. González

As tests of QCD in the bottomonium system, we give the most accurate results to date for the ground-state hyperfine splitting and the $\Upsilon$ leptonic width from full lattice QCD. These quantities are both accurately known from…

High Energy Physics - Lattice · Physics 2021-11-12 C. T. H. Davies , D. Hatton , J. Koponen , G. P. Lepage , A. T. Lytle

We employ the Langevin equation and Wigner function to describe the bottom equark dynamical evolutions and their formation into a bound state in the expanding Quark Gluon Plasma (QGP). The additional suppressions from parton inelastic…

Nuclear Theory · Physics 2017-09-08 Baoyi Chen , Jiaxing Zhao

The relativistic quark model is presented. The quark-antiquark potential for the Schroedinger-like equation is constructed with the account of retardation effects and one-loop radiative corrections. It consists of the one-gluon exchange…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. Ebert , R. N. Faustov , V. O. Galkin

We report on a recent computation of the transitions of exotic bottomonium to standard bottomonium and light quark hadrons. We work under the assumption that the $\Upsilon(10753)$ and $\Upsilon(11020)$ can be described as the lowest laying…

High Energy Physics - Phenomenology · Physics 2023-01-11 Jaume Tarrús Castellà

Spectrum, radii, radial wave functions at origin, decay constants and momentum widths for radial and orbital excited $B_c$ mesons are derived within non-relativistic quark model framework through finding numerical solution of the…

High Energy Physics - Phenomenology · Physics 2020-10-28 Nosheen Akbar

An analytic solution of the N-dimensional radial Schr\"odinger equation with the mixture of vector and scalar potentials via the Laplace transformation method (LTM) is studied. The present potential is extended to include the spin…

High Energy Physics - Phenomenology · Physics 2018-07-16 M. Abu-Shady , E. M. Khokha

The static properties and dynamic evolution of bottomonium states in a hot QCD medium are investigated through the Schr\"odinger equation with complex heavy quark potentials, which are presented recently in lattice QCD study and with three…

Nuclear Theory · Physics 2024-02-20 Ge Chen , Baoyi Chen , Jiaxing Zhao

We give a short and basic introduction to our covariant Dyson-Schwinger-Bethe-Salpeter-equation approach using a rainbow-ladder truncated model of QCD, in which we investigate the leptonic decay properties of heavy quarkonium states in the…

High Energy Physics - Phenomenology · Physics 2016-11-07 A. Krassnigg , M. Gomez-Rocha , T. Hilger

Masses and current couplings of the charmonium and bottomonium hybrids $ \overline{c}gc$ and $\overline{b}gb$ with spin-parities $J^{\mathrm{PC} }=0^{++},\ 0^{+-},\ 0^{-+},\ 0^{--}$ and $1^{++},\ 1^{+-},\ 1^{-+},\ 1^{--}$ are calculated…

High Energy Physics - Phenomenology · Physics 2024-07-02 A. Alaakol , S. S. Agaev , K. Azizi , H. Sundu

We study hadronic decays of mesons and baryons in the context of the Dyson-Schwinger equations of QCD. Starting from a well-established effective interaction in rainbow-ladder truncation, we consistently calculate all ingredients of the…

High Energy Physics - Phenomenology · Physics 2011-09-07 Valentin Mader , Gernot Eichmann , Martina Blank , Andreas Krassnigg

In this study, we investigate the properties of pseudoscalar and vector charmonia, bottomonia, and $B_c$ mesons using the light-front quark model, focusing on the $M1$ radiative transition. For that purpose, we conduct a variational…

High Energy Physics - Phenomenology · Physics 2025-07-08 Muhammad Ridwan , Ahmad Jafar Arifi , Terry Mart

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 investigate $I = 0$ bottomonium bound states and resonances in S, P, D and F waves using lattice QCD static-static-light-light potentials. We consider five coupled channels, one confined quarkonium and four open $B^{(*)}\bar{B}^{(*)}$…

High Energy Physics - Lattice · Physics 2022-10-25 Pedro Bicudo , Nuno Cardoso , Lasse Mueller , Marc Wagner