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We discuss a discrete approach to the multiscale reductive perturbative method and apply it to a biatomic chain with a nonlinear interaction between the atoms. This system is important to describe the time evolution of localized solitonic…

Pattern Formation and Solitons · Physics 2010-11-23 G. A. Cassatella Contra , D. Levi

The influence on the fusion process of coupling transfer/breakup channels is investigated for the medium weight $^{6,7}$Li+$^{59}$Co systems in the vicinity of the Coulomb barrier. Coupling effects are discussed within a comparison of…

Nuclear Theory · Physics 2008-11-26 C. Beck , N. Keeley , A. Diaz-Torres

We prove an abstract convergence result for a family of dual-mesh based quadrature rules on tensor products of simplical meshes. In the context of the multilinear tensor-product finite element discretization of reaction-drift-diffusion…

Numerical Analysis · Mathematics 2024-07-16 Max Heldman

${\bf Background:}$ Weakly bound and unbound nuclear states appearing around particle thresholds are prototypical open quantum systems. Theories of such states must take into account configuration mixing effects in the presence of strong…

Nuclear Theory · Physics 2017-10-11 S. M. Wang , N. Michel , W. Nazarewicz , F. R. Xu

This paper proposes a novel discretization workflow for contact problems in which the discretization of the contact interface is decoupled from that of the bulk domain. This separation enables independently tailored meshes for the contact…

Computational Engineering, Finance, and Science · Computer Science 2026-03-03 Eugenia Gabriela Loera Villeda , Ivo Steinbrecher , Alexander Popp

A space discrete approximation to a highly nonlinear reaction-diffusion system endowed with a stochastic dynamical boundary condition is analyzed and the convergence of the discrete scheme to the solution to the corresponding continuum…

Probability · Mathematics 2025-07-15 Francesca Arceci , Francesco Carlo De Vecchi , Daniela Morale , Stefania Ugolini

We investigate hidden-charm molecular states in $\Xi_c^{(\prime,*)}\bar{D}^{(*)}$ systems using the one-boson exchange model. By regulating the short-range interactions with parameter $a$ and cutoff $\Lambda$, we found ten bound states in…

High Energy Physics - Phenomenology · Physics 2025-11-03 Ziye Wang , Nijiati Yalikun , Yakefu Reyimuaji

We investigate the behaviour of single-channel theoretical models of cold and ultracold collisions that take account of inelastic and reactive processes using a single parameter to represent short-range loss. We present plots of the…

Atomic Physics · Physics 2017-09-19 Matthew D. Frye , Paul S. Julienne , Jeremy M. Hutson

Low-lying continuum states of exotic oxygen isotopes are studied, by introducing the Continuum-Coupled Shell Model (CCSM) characterized by an infinite wall placed very far and by an interaction for continuum coupling constructed in a close…

Nuclear Theory · Physics 2015-08-19 Koshiroh Tsukiyama , Takaharu Otsuka , Rintaro Fujimoto

The scattering of $^9$Be on $^{208}$Pb is addressed within a four-body Continuum-Discretized Coupled-Channels (CDCC) framework, considering a three-body $\alpha + \alpha + n$ projectile plus a structureless target. The projectile states are…

Nuclear Theory · Physics 2017-04-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

We have performed CDCC calculations for collisions of $^{7}$Li projectiles on $^{59}$Co, $^{144}$Sm and $^{208}$Pb targets at near-barrier energies, to assess the importance of the Coulomb and the nuclear couplings in the breakup of…

Nuclear Theory · Physics 2016-01-20 D. R. Otomar , P. R. S. Gomes , J. Lubian , L. F. Canto , M. S. Hussein

We report our successful implementation of the full fledged relativistic equation of motion coupled cluster (EOMCC) method. This method is employed to compute the principal ionization potentials (IPs) of closed-shell rare gas atoms, He-like…

Atomic Physics · Physics 2014-04-24 Himadri Pathak , B. K. Sahoo , B. P. Das , Nayana Vaval , Sourav Pal

A singularly perturbed reaction-diffusion problem posed on the unit square in $\mathbb{R}^2$ is solved numerically by a local discontinuous Galerkin (LDG) finite element method. Typical solutions of this class of 2D problems exhibit…

Numerical Analysis · Mathematics 2024-10-01 Yao Cheng , Xuesong Wang , Martin Stynes

We show that the centroid molecular dynamics (CMD) method provides a realistic way to calculate the thermal diffusivity $a=\lambda/\rho c_{\rm V}$ of a quantum mechanical liquid such as para-hydrogen. Once $a$ has been calculated, the…

Chemical Physics · Physics 2021-05-10 Benjamin J. Sutherland , William H. D. Moore , David. E. Manolopoulos

Discrete transparent boundary conditions (DTBC) and the Perfectly Matched Layers (PML) method for the realization of open boundary conditions in quantum device simulations are compared, based on the stationary and time-dependent…

Numerical Analysis · Mathematics 2015-06-18 Jan-Frederik Mennemann , Ansgar Jüngel

We present a novel family of particle discretisation methods for the nonlinear Landau collision operator. We exploit the metriplectic structure underlying the Vlasov-Maxwell-Landau system in order to obtain disretisation schemes that…

Plasma Physics · Physics 2024-04-30 Sandra Jeyakumar , Michael Kraus , Matthew J. Hole , David Pfefferlé

We present a distributed Lagrange multiplier formulation of the Finite Element Immersed Boundary Method to couple incompressible fluids with compressible solids. This is a generalization of the formulation presented in Heltai and Costanzo…

Numerical Analysis · Mathematics 2017-12-08 Daniele Boffi , Lucia Gastaldi , Luca Heltai

The method of screening and renormalization is used to include the Coulomb interaction between the charged particles in the description of few-body nuclear reactions. Calculations are done in the framework of Faddeev-type equations in…

Nuclear Theory · Physics 2015-05-13 A. Deltuva

Given the established 2 alpha structure of 8Be, a realistic model of 4 interacting alpha clusters must be used to obtain a 8Be+8Be interaction potential. Such a four-body problem poses a challenge for the determination of the 8Be+8Be…

Nuclear Theory · Physics 2020-08-25 Do Cong Cuong , Pierre Descouvemont , Dao T Khoa , Nguyen Hoang Phuc

The phenomenon of collisional breakage in particulate processes has garnered significant interest due to its wide-ranging applications in fields such as milling, astrophysics, and disk formation. This study investigates the analysis of the…

Analysis of PDEs · Mathematics 2024-12-04 Sanjiv Kumar Bariwal , Rajesh Kumar
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