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We study the pointwise (in the space and time variables) behavior of the linearized Landau equation for hard and moderately soft potentials. The solution has very clear description in the $(x,t)-$variables, including large time behavior and…

Mathematical Physics · Physics 2017-09-12 Haitao Wang , Kung-Chien Wu

In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigen solutions and total normalized wave function of Schr\"odinger equation express in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic…

Exploring MSSM parameter space after the discovery of Higgs Boson with mass 125 GeV naturally demands large top-squark mixing or large trilinear coupling parameter $A_t$ in particular, so as to avoid excessively heavy squark, specially for…

High Energy Physics - Phenomenology · Physics 2015-06-22 Utpal Chattopadhyay , Abhishek Dey

In this paper, we establish hypocoercivity for the semiconductor Boltzmann equation with the presence of an external electrical potential under the Maxwell boundary condition. We will construct a modified entropy Lyapunov functional, which…

Analysis of PDEs · Mathematics 2025-09-03 Hongxu Chen , Liu Liu , Jiayu Wan

The semileptonic transition of $\Lambda_b$ baryon is studied using the Hypercentral constituent quark model. The six-dimensional hyperradial $Schr\ddot{o}dinger$ equation is solved in the variational approach to get masses and wavefunctions…

High Energy Physics - Phenomenology · Physics 2020-10-28 Kaushal Thakkar

There is a tension between measurements of the amplitude of the power spectrum of density perturbations inferred using the Cosmic Microwave Background (CMB) and directly measured by Large-Scale Structure (LSS) on smaller scales. We show…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Richard A. Battye , Tom Charnock , Adam Moss

We study the properties of the Higgs and supersymmetric particle spectrum associated with the infrared fixed point solution of the top quark mass in the MSSM. We concentrate on the possible detection of these particles, analysing the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , C. E. M. Wagner

This paper is concerned with weighted energy estimates for solutions to wave equation $\partial_t^2u-\Delta u + a(x)\partial_tu=0$ with space-dependent damping term $a(x)=|x|^{-\alpha}$ $(\alpha\in [0,1))$ in an exterior domain $\Omega$…

Analysis of PDEs · Mathematics 2021-12-14 Motohiro Sobajima , Yuta Wakasugi

We consider solutions to the initial value problem associated to the intermediate long wave (ILW) equation. We establish persistence properties of the solution flow in weighted Sobolev spaces, and show that they are sharp. We also deal with…

Analysis of PDEs · Mathematics 2024-06-28 Felipe Linares , Gustavo Ponce

We present the calculation of the spectral function of an unstable scalar boson coupled to fermions as resulting from the resummation of the one loop diagrams in the scalar particle self energy. We work with a large but finite high-energy…

High Energy Physics - Phenomenology · Physics 2013-08-27 Francesco Giacosa , Giuseppe Pagliara

Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for exactly solvable problems corresponding to a given energy…

Quantum Physics · Physics 2020-07-09 A. D. Alhaidari

We investigate the unequal mass relativistic bound state system, the $B_c$ mesons, in a light-front Hamiltonian formalism. We adopt an effective Hamiltonian based on soft-wall light-front holography, together with a longitudinal confinement…

Nuclear Theory · Physics 2019-01-02 Shuo Tang , Yang Li , Pieter Maris , James P. Vary

The generalized pseudospectral method is employed to calculate the bound states of Hulth\'en and Yukawa potentials in quantum mechanics, with special emphases on higher excited states and stronger couplings. Accurate energy eigenvalues,…

Quantum Physics · Physics 2015-06-18 Amlan K. Roy

The properties of energy spectrum of excitons in monolayer transition metal dichalcogenides are investigated using a multiband model. In the multiband model we use the excitonic Hamiltonian in the product base of the Dirac single-particle…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Victor Zalipaev , Vladislav Kuidin

Dyson-Schwinger equation (DSE) studies show that the b-quark mass-function is approximately constant, and that this is true to a lesser extent for the c-quark. These observations provide the basis for a study of the leptonic and…

Nuclear Theory · Physics 2007-05-23 M. A. Ivanov , Yu. L. Kalinovsky , P. Maris , C. D. Roberts

Future electron-positron colliders offer a unique opportunity for high-precision measurements of the top-quark mass, width, strong coupling constant, and top-quark Yukawa coupling via a scan of the $t\bar{t}$ threshold. We present the first…

High Energy Physics - Phenomenology · Physics 2026-03-19 Leyan Li , Yuming Lin , Xiaohu Sun , Yajun Mao , Zhan Li , Kaili Zhang , Shudong Wang , Gang Li , Hongbo Liao , Yaquan Fang

We use the recently proposed supersymmetric expansion algorithm (SEA) to obtain a complete analytical solution to the Schr\"{o}dinger equation with the Cornell potential. We find that the energy levels $E_{nl}(\lambda)$ depend on $n^{2}$…

High Energy Physics - Phenomenology · Physics 2025-06-03 M. Napsuciale , S. Rodríguez , A. E. Villanueva-Gutiérrez

It is considered that the effective interaction between any two quarks in a baryon can be approximately described by a simple harmonic potential. Also, it is made use of the nonrelativistic approximation. The problem is firstly solved in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mario Everaldo de Souza

We compute the energy spectrum of charged leptons in the decay $H^+\to \bar b+(t\to bl\nu_l)$. The shape of the lepton spectrum obtained, and also the mean lepton energy, are sensitive to the handedness of the intermediate top quark. This…

High Energy Physics - Phenomenology · Physics 2009-10-28 Andrzej Czarnecki , James L. Pinfold

We study hyperon resonances by solving coupled channel scattering equations. The coupled systems include pseudoscalar- and vector-baryon channels. The parameters of the model are restricted by making a $\chi^2$-fit to the cross section data…

High Energy Physics - Phenomenology · Physics 2019-08-07 K. P. Khemchandani , A. Martínez Torres , J. A. Oller
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