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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 solved the radial Schr"odinger equation analytically using the Exact Quantization Rule approach to obtain the energy eigenvalues with the Extended Cornell potential ECP. The present results are applied for calculating the mass spectra of…

High Energy Physics - Phenomenology · Physics 2020-12-22 Etido P. Inyang , Ephraim P. Inyang , Eddy S. William , Etebong E. Ibekwe , Ita O. Akpan

We discuss the equations for the bound one-active electron states based on the analytic solutions of the Schrodinger and Pauli equations for a uniform magnetic field and a single attractive $\delta({\bf r})$-potential. It is vary important…

High Energy Physics - Phenomenology · Physics 2015-05-27 V. N. Rodionov , G. A. Kravtsova

The quantum description of a particle moving in a deformed potential is investigated. A pseudostate (PS) basis is used to represent the states of the composite system. This PS basis is obtained by diagonalizing the system Hamiltonian in a…

Nuclear Theory · Physics 2012-05-24 J. A. Lay , A. M. Moro , J. M. Arias , J. Gómez-Camacho

We present results from the fastsum collaboration's programme to determine the spectrum of the bottomonium system as a function of temperature. Three different methods of extracting spectral information are discussed: a Maximum Likelihood…

Power series method (PSM) is revisited to find the masses of S, P, and D states of conventional charmonium ($c\overline{c}$), bottomonium ($b\overline{b}$), and $B_c$ ($\overline{b}c$) mesons by assuming the solution of N-dimensional radial…

High Energy Physics - Phenomenology · Physics 2024-05-02 Nosheen Akbar , Zeeshan Ali , Saadia Arshad

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

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 possibility to observe new bottomonium states with $J^{PC}= 1^{--}$ in the region $10.7-11.1$ GeV is discussed. The analysis of the di-electron widths shows that the $(n+1)^3S_1$ and $n^3D_1$ states ($n\geq 3$) may be mixed with a…

High Energy Physics - Phenomenology · Physics 2009-09-11 A. M. Badalian , B. L. G. Bakker , I. V. Danilkin

We construct a new effective field theory approach to the equation of state (EoS), dubbed pseudo-confomal model "PCM," for nuclear and compact star matter entirely in terms of effective hadron degrees of freedom. The possible transition at…

Nuclear Theory · Physics 2018-09-21 Yong-Liang Ma , Hyun Kyu Lee , Won-Gi Paeng , Mannque Rho

We propose a new method to extract the light quark mass ratio $m_u/m_d$ using the $\Upsilon(4S)\to h_b\pi^0(\eta)$ bottomonia transitions. The decay amplitudes are dominated by the light quark mass differences, and the corrections from…

High Energy Physics - Phenomenology · Physics 2010-10-18 Feng-Kun Guo , Christoph Hanhart , Ulf-G. Meißner

The rotational spectrum of $^{15}$ND in its ground electronic $X^{3}\Sigma^{-}$ state has been observed for the first time. Forty-three hyperfine-structure components belonging to the ground and v = 1 vibrational states have been recorded…

Astrophysics of Galaxies · Physics 2018-11-07 Mattia Melosso , Luca Bizzocchi , Filippo Tamassia , Claudio Degli Esposti , Elisabetta Canè , Luca Dore

The in-medium masses of the bottomonium ground states [$1S$ ($\Upsilon (1S), \eta_b$) and $1P$ ($\chi_{b0},\chi_{b1}$)] are investigated in the magnetized vacuum (nuclear medium), using the QCD sum rule framework. In QCD sum rule approach,…

High Energy Physics - Phenomenology · Physics 2021-04-13 Pallabi Parui , Sourodeep De , Ankit Kumar , Amruta Mishra

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of {\gamma}-unstable nuclei and axially symmetric prolate deformed ones with {\gamma}=0. By exploiting the results…

Nuclear Theory · Physics 2016-05-23 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

On using the known equivalence between the presence of a position-dependent mass (PDM) in the Schr\"odinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has recently been…

Mathematical Physics · Physics 2009-04-15 Christiane Quesne

Bremsstrahlung emission in collisions between charged nuclei is equivalent to nuclear gamma decay between continuum states. The way the continuum spectrum can be treated is not unique, and efficiency and accuracy of cross section…

Nuclear Theory · Physics 2014-07-22 E. Garrido , A. S. Jensen , D. V. Fedorov

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

Recently it has been shown that the gross structure of the bottomonium spectrum is reproduced reasonably well within the non-relativistic boundstate theory based on perturbative QCD. In that calculation, however, the fine splittings and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Recksiegel , Y. Sumino

The nonrelativistic energies of the homonuclear ion T$_2^+$ are calculated for the ground state using the Lagrange-mesh method as was done for the isotopomers H$_2^+$ and D$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101 and…

Atomic and Molecular Clusters · Physics 2015-06-19 Horacio Olivares Pilón

We calculate the mass spectrum and the structure of the positronium system at a strong coupling in a basis light-front approach. We start from the light-front QED Hamiltonian and retain one dynamical photon in our basis. We perform the…

High Energy Physics - Phenomenology · Physics 2021-03-12 Xingbo Zhao , Kaiyu Fu , Hengfei Zhao , James P. Vary