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The three-dimensional half-shell t-matrix for a sharply cut-off Coulomb potential is analytically derived together with its asymptotic form without reference to partial wave expansion. The numerical solutions of the three-dimensional…

Nuclear Theory · Physics 2010-01-15 W. Glockle , J. Golak , R. Skibinski , H. Witala

The stationary states of the half-line Coulomb potential are described by quantum-mechanical wavefunctions which are controlled by the Laguerre polynomials $L_n^{(1)}(x$). Here we first calculate the $q$th-order frequency or entropic…

Mathematical Physics · Physics 2009-10-23 P. Sanchez-Moreno , J. J. Omiste , J. S. Dehesa

When the cancellation of the leading renormalon contributions is incorporated, the total energy of a b bbar system, E_{tot,bbbar}(r) = 2 m_{pole,b} + V_QCD(r), agrees well with the potentials used in phenomenological models for heavy…

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

We develop a formalism that allows the computation of the quantum effective potential of a scalar order parameter in a class of holographic theories at finite temperature and charge density. The effective potential is a valuable tool for…

High Energy Physics - Theory · Physics 2015-06-05 Elias Kiritsis , Vasilis Niarchos

Dynamical correlation functions of the toric code in a uniform magnetic field are studied inside the topological phase, in the small-field limit. Such an experimentally measurable quantity displays rich field-dependent features that can be…

Statistical Mechanics · Physics 2014-01-21 M. Kamfor , S. Dusuel , J. Vidal , K. P. Schmidt

We clarify the difference among potential models so far proposed to explain mass spectra of heavy-light mesons via transformations of the vacuum. Applying our idea to QQ-bar quarkonium, we obtain the extra term, 1/r^2 with positive…

High Energy Physics - Phenomenology · Physics 2009-12-25 T. Matsuki , X. Liu , T. Morii , K. Seo

A scheme is developed which shows how one would, given a light-front Hamiltonian for QCD, extract the $Q\overline{Q}$ potential, i.e. the quantity which corresponds to the potential between two infinitely heavy quarks in a rest frame, from…

High Energy Physics - Phenomenology · Physics 2016-09-01 Matthias Burkardt

The mass spectra and decay properties of heavy quarkonia are computed in nonrelativistic quark-antiquark Cornell potential model. We have employed the numerical solution of Schr\"odinger equation to obtain their mass spectra using only four…

High Energy Physics - Phenomenology · Physics 2018-08-06 N. R. Soni , B. R. Joshi , R. P. Shah , H. R. Chauhan , J. N. Pandya

Deviations from the uniform oscillator spacing, related to the shape of the confining potential, have a strong influence on few-electron states in quantum dots when Coulomb effects are included. Distinct signatures are found for level…

Mesoscale and Nanoscale Physics · Physics 2010-02-10 D. K. Sunko

The spectra and decay rates of $c \bar c$ and $b \bar b$ levels are well described, for the most part, by a power-law potential of the form $V(r)=\lambda(r^{\alpha}-1)/\alpha+{\rm const.}$, where $\alpha\simeq 0$. The results of an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aaron K. Grant , Jonathan L. Rosner

The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge…

High Energy Physics - Theory · Physics 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

We present results for the equation of state of a graphene-like model in an effort to understand the properties of its quantum phase transition. The N_f fermion species interact through a three dimensional instantaneous Coulomb potential.…

Strongly Correlated Electrons · Physics 2009-04-17 Simon Hands , Costas Strouthos

In this work, we investigate the bound states in a one-dimensional spin-1 flat band system with a Coulomb-like potential of type III, which has a unique non-vanishing matrix element in basis $|1\rangle$. It is found that, for such a kind of…

Quantum Physics · Physics 2022-05-24 Yi-Cai Zhang

We explore the temperature dependence of the heavy-quarkonium interaction based on the Bhanot-Peskin leading order perturbative QCD analysis. The Wilson coefficients are computed solving the Schrodinger equation in a screened Coulomb…

High Energy Physics - Phenomenology · Physics 2010-04-05 Francois Arleo , Joseph Cugnon , Yuri Kalinovsky

In this work, we analyze the noncommutative three-dimensional Coulomb potential problem. For this purpose, we used the Kustaanheimo-Stiefel mapping to write the Schr\"odinger equation for Coulomb potential in a solvable way. Then, the…

High Energy Physics - Theory · Physics 2023-10-23 Beatriz Wang , Emanuel Brenag , Ronni Amorim , Vinicius Rispoli , Sergio Ulhoa

In effective models of loop quantum cosmology, the holonomy corrections are associated with deformations of space-time symmetries. The most evident manifestation of the deformations is the emergence of an Euclidean phase accompanying the…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Susanne Schander , Aurélien Barrau , Boris Bolliet , Julien Grain , Linda Linsefors , Jakub Mielczarek

The screening of a Coulomb potential by superstrong magnetic field is studied. Its influence on the spectrum of a hydrogen atom is determined.

Atomic Physics · Physics 2015-06-03 M. I. Vysotsky

The Maxwell field equations relative to a uniformly accelerated frame, and the variational principle from which they are obtained, are formulated in terms of the technique of geometrical gauge invariant potentials. They refer to the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Francis J. Alexander , Ulrich H. Gerlach

Light flavour baryons are studied in a non-relativistic potential model with colour Coulomb plus linear confinement potential using a simple variational method. The ground-state masses and magnetic moments of the light baryons are computed…

High Energy Physics - Phenomenology · Physics 2021-11-10 Zahra Ghalenovi

Coulomb correlations in the optical spectra of semiconductor quantum dots are investigated using a full-diagonalization approach. The resulting multi-exciton spectra are discussed in terms of the symmetry of the involved states.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Norman Baer , Paul Gartner , Frank Jahnke