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Related papers: Heavy quarkonia properties from a hard-wall confin…

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Two numerical methods are developed to reduce the solution of the radial Schr\"odinger equation for proposed heavy quark-antiquark interactions, into the solution of the eigenvalue problem for the infinite system of tridiagonal matrices.…

High Energy Physics - Phenomenology · Physics 2020-10-19 A. M. Yasser , G. S. Hassan , Samah K. Elshamndy , M. S. Ali

This paper aims at proving the fundamental role of a relativistic formulation for quarkonia models. We present a completely covariant description of a two-quark system interacting by the Cornell potential with a Breit term describing the…

High Energy Physics - Phenomenology · Physics 2015-06-05 R. Giachetti , E. Sorace

recently proposed strictly phenomenological static quark-antiquark potential belonging to the generality $V(r)=-Ar^{-\alpha}+\kappa r^{\beta}+V_{0}$ is tested with heavy quarkonia in the context of the shifted large N-expansion method. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Sameer M. Ikhdair , Ramazan Sever

The spectrum of heavy-hadron molecules is constrained by heavy-quark symmetry in its different manifestations. Heavy-quark spin symmetry for instance connects the properties of the ground and excited states of heavy hadrons, while…

High Energy Physics - Phenomenology · Physics 2019-01-01 Ming-Zhu Liu , Fang-Zheng Peng , Mario Sanchez Sanchez , Manuel Pavon Valderrama

In this work, we obtain the Schr\"odinger equation solutions for the Varshni potential using the Nikiforov-Uvarov method. The energy eigenvalues are obtained in non-relativistic regime. The corresponding eigenfunction is obtained in terms…

High Energy Physics - Phenomenology · Physics 2021-01-05 Etido P. Inyang , Ephraim P. Inyang , Eddy S. William , Etebong E. Ibekwe

We examine the spectra and radiative decays of the cc-bar and bb-bar systems using a model which incorporates the complete one-loop spin-dependent perturbative QCD short distance potential, a linear confining term including (spin-dependent)…

High Energy Physics - Phenomenology · Physics 2009-11-11 Stanley F Radford , Wayne W. Repko

The N-dimensional radial Schr\"odinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been…

High Energy Physics - Phenomenology · Physics 2018-01-23 M. Abu-Shady , T. A. Abdel-Karim , E. M. Khokha

A model based on a nonrelativistic potential supplemented by spin dependent terms of the Breit-Fermi type is described. This model reproduces the known masses of the $\bar{b}b$ quarkonia within 1MeV and the known masses of the $\bar{c}c$…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Motyka , K. Zalewski

In this study, we investigated the impact of a topological defect on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrodinger equation (SE) using the extended Nikorov-Uvarov (ENU)…

High Energy Physics - Phenomenology · Physics 2023-09-26 M. Abu-shady , H. M. Fath-Allah

The screened quasi-relativistic potential is used for describing spin-orbit splitting in $^{3}P_{J}$ waves of quark-antiquark system. Fermi-Breit equation is solved numerically in configuration interaction approximation. This approximation…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Lengyel , V. Rubish , A. Shpenik , S. Chalupka , M. Salak

Non-perturbative methods of effective field theory such like Lattice QCD have allowed to establish connection between the QCD Lagrangian and quark potential models, a prominent outcome being the Cornell (linear plus Coulomb) potential. In…

Nuclear Theory · Physics 2008-10-30 M. Kirchbach , C. Compean

In the present work, the mass spectra of the bound states of heavy quarks b and c quarks and the Bc meson are studied within the frame work of non relativistic Schrodinger equation. First, we solve Schr\"odinger's equation with a general…

High Energy Physics - Phenomenology · Physics 2020-04-06 Hesham Mansour , Ahmed Gamal

The binding energy spectra of the heavy quarkonia are calculated by solving the Schr\"odinger equations with Coulomb plus confining potentials. Statistical properties of the obtained spectra are studied by plotting nearest level spacing…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. U. Matrasulov , F. C. Khanna , U. R. Salomov

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions. Herein I provide a…

Nuclear Theory · Physics 2007-05-23 Craig D. Roberts

The heavy quarkonia (Charmonium \(c\bar{c}\) and Bottomonium \(b\bar{b}\)) are investigated in the framework of the instantaneous BS-equation (Salpeter equation). We parametrize confinement alternatively by a linearly rising scalar or a…

Nuclear Theory · Physics 2011-07-19 J. Resag , C. R. Muenz

The possibility to have diquark configuration in heavy baryons, such as Lambda_c and Lambda_b, is examined by a nonrelativistic potential model with a heavy quark and a light scalar diquark. Assuming that the Lambda_c and Lambda_b baryons…

Nuclear Theory · Physics 2016-08-15 Daisuke Jido , Minori Sakashita

Recently a lot of progress has been made in deriving the heavy quark potential within a QCD medium. In this article we have considered heavy quarkonium in a hot quark gluon plasma phase. The heavy-quark potential has been modeled properly…

Nuclear Theory · Physics 2018-06-26 P. K. Srivastava , O. S. K. Chaturvedi , Lata Thakur

The resolution of Dyson-Schwinger equations leads to the freezing of the QCD running coupling (effective charge) in the infrared, which is best understood as a dynamical generation of a gluon mass function, giving rise to a momentum…

High Energy Physics - Phenomenology · Physics 2015-05-30 P. Gonzalez , V. Mathieu , V. Vento

We investigate the influence of a homogeneus and constant strong external magnetic field on the heavy-meson spectrum. Quarkonium states $c\bar{c}$ and $b\bar{b}$ are described within a non-relativistic framework and by means of a suitable…

High Energy Physics - Phenomenology · Physics 2015-09-14 Claudio Bonati , Massimo D'Elia , Andrea Rucci

The orbitally excited heavy quark baryons are studied in the Callan Klebanov bound state model with heavy spin symmetry. First, a compact description of the large $N_c$, infinite heavy quark mass bound state wavefunctions and the collective…

High Energy Physics - Phenomenology · Physics 2010-11-01 Joseph Schechter , Anand Subbaraman