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We study a mass splitting of light vector, axial-vector and pseudoscalar mesons in isospin medium in the framework of hard-wall model. We write an effective mass definition for the interacting gauge fields and scalar field introduced in…

High Energy Physics - Theory · Physics 2016-03-23 Shahin Mamedov

This paper presents compact, symmetric, and high-order finite difference methods (FDMs) for the variable Poisson equation on a $d$-dimensional hypercube. Our scheme produces a symmetric linear system: an important property that does not…

Numerical Analysis · Mathematics 2025-11-14 Qiwei Feng , Bin Han , Michelle Michelle , Jiwoon Sim

Finite energy QCD sum rules involving both inverse and positive moment integration kernels are employed to determine the bottom quark mass. The result obtained in the $\bar{\text {MS}}$ scheme at a reference scale of $10\, {GeV}$ is…

High Energy Physics - Phenomenology · Physics 2015-06-03 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

In this paper we give a survey of methods used to calculate values of resistance distance (also known as effective resistance) in graphs. Resistance distance has played a prominent role not only in circuit theory and chemistry, but also in…

Combinatorics · Mathematics 2021-09-15 E. J. Evans , A. E. Francis

We present an exact calculation of the single-electron energies and wave-functions for any bound state in a realistic Si-SiO2 spherical quantum dot, including the material dependence of the electron effective mass. The influence of dot…

Materials Science · Physics 2007-05-23 Nguyen Hong Quang , Tran The Trung , Johann See , Philippe Dollfus

A method used previously to calculate the masses of the vector mesons is extended to the calculation of the nucleon resonances. The method is based on the choice of integration kernels which eliminate the unknown parts of the spectrum. We…

High Energy Physics - Phenomenology · Physics 2023-10-03 Nasrallah F. Nasrallah , Karl Schilcher

In this paper we describe an application of the finite difference method to obtain the transverse magnetic photonic band gap diagram of a photonic crystal. The strategy of this method is to formulate the Maxwell equations in finite…

Optics · Physics 2011-09-05 R. A. Gutierrez-Arenas , D. Mendoza

We derive a formalism, the separation method, for the efficient and accurate calculation of two-body matrix elements for a Gaussian potential in the cylindrical harmonic-oscillator basis. This formalism is of critical importance for…

Nuclear Theory · Physics 2010-11-02 W. Younes

We present a new and simple bound for the exponential decay of second order systems using the spectral shift. This result is applied to finite matrices as well as to partial differential equations of Mathematical Physics. The type of the…

Spectral Theory · Mathematics 2016-08-16 Krešimir Veselić

A computational model is presented to calculate the ground state energy of neutral and charged excitons confined in semiconductor quantum dots. The model is based on the variational Quantum Monte Carlo method and effective mass…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Josep Planelles , Juan I. Climente

We propose a new method for calculating total energies of systems of interacting electrons, which requires little more computational resources than standard density-functional theories. The total energy is calculated within the framework of…

Condensed Matter · Physics 2009-10-31 Paula Sanchez-Friera , R. W. Godby

The mass distributions for giant dipole resonances in 32S and 132Sn decaying through particle emission and for deep-inelastic collisions between 16O nuclei have been investigated by implementing the Balian-Veneroni variational technique…

Nuclear Theory · Physics 2009-11-13 J. M. A. Broomfield , P. D. Stevenson

In this paper, a higher order finite difference scheme is proposed for Generalized Fractional Diffusion Equations (GFDEs). The fractional diffusion equation is considered in terms of the generalized fractional derivatives (GFDs) which uses…

Numerical Analysis · Mathematics 2022-06-08 Kamlesh Kumar , Rajesh K. Pandey

We have applied the Finite Element Method to the self-consistent electronic structure calculations of molecules and solids for the first time. In this approach all the calculations are performed in "real space" and the use of non-uniform…

mtrl-th · Physics 2009-10-28 Eiji Tsuchida , Masaru Tsukada

The fermion determinant in an instanton background for a quark field of arbitrary mass is determined exactly using an efficient numerical method to evaluate the determinant of a partial wave radial differential operator. The bare sum over…

High Energy Physics - Theory · Physics 2009-11-10 Gerald V. Dunne , Jin Hur , Choonkyu Lee , Hyunsoo Min

A high order finite difference method is proposed for unstructured meshes to simulate compressible inviscid/viscous flows with/without discontinuities. In this method, based on the strong form equation, the divergence of the flux on each…

Numerical Analysis · Mathematics 2021-09-08 Zeyuan Zhou , Mei-Yuan Zhen , Kun Qu , Jin-Sheng Cai

Mass-split systems based on a conformal infrared fixed point provide a low-energy effective description of beyond the standard model systems with large scale separation. We report results of exploratory investigations with four light and…

High Energy Physics - Lattice · Physics 2018-04-18 Anna Hasenfratz , Claudio Rebbi , Oliver Witzel

We propose a new method to determine quark masses using ratios of the vacuum-expectation values (VEVs) of flowed quark bilinear operators. They can be expressed as functions of the flow time $t$ and the ${\overline {\rm MS}}$ quark mass…

High Energy Physics - Lattice · Physics 2025-09-04 Hiromasa Takaura , Robert V. Harlander , Fabian Lange

The dark and bright solitons in different systems are already known in Klein-Gordon lattice. Instead of an external driving force, if the intrinsic field is only considered, then the modal dynamics for small oscillations could be…

Quantum Gases · Physics 2017-01-02 Asis. K. Bandyopadhyay , Atrayee Bhattacharya , Kamal Choudhary , Santanu Das

We develop techniques to determine the mass scale of invisible particles pair-produced at hadron colliders. We employ the constrained mass variable m_2C, which provides an event-by-event lower-bound to the mass scale given a mass…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alan J. Barr , Graham G. Ross , Mario Serna