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This paper proposes a finite element method that couples mixed and Lagrange finite elements to efficiently capture stress concentrations in elasticity problems. The method employs conforming mixed finite elements in regions with stress…

Numerical Analysis · Mathematics 2026-04-21 Wei Chen , Jun Hu , Limin Ma , Mingyan Zhang

We investigate the nuclear and the Coulomb contributions to the breakup cross sections of $^6$Li in collisions with targets in different mass ranges. Comparing cross sections for different targets at collision energies corresponding to the…

Nuclear Theory · Physics 2017-03-23 M. S. Hussein , P. R. S. Gomes , J. Lubian , D. R. Otomar , L. F. Canto

Background: Near-barrier fusion can be strongly affected by the coupling between relative motion and internal degrees of freedom of the collision partners. The time-dependent Hartree-Fock (TDHF) theory and the coupled-channels (CC) method…

Nuclear Theory · Physics 2013-12-09 C. Simenel , M. Dasgupta , D. J. Hinde , E. Williams

A new approach has been used to explain the experimental data for the $^{12}$C+$^{12}$C system over a wide energy range in the laboratory system from 32.0 MeV to 126.7 MeV. This new coupled-channels based approach involves replacing the…

Nuclear Theory · Physics 2009-11-07 I. Boztosun , W. D. M. Rae

A relationship between the Coulomb inclusive break-up probability and the radiative capture reaction rate for weakly-bound three-body systems is established. This direct link provides a robust procedure to estimate the reaction rate for…

Nuclear Theory · Physics 2016-04-22 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron elastic scattering, radiative proton-deuteron capture and two-body electromagnetic disintegration of ${}^3\mathrm{He}$. The hadron dynamics is…

Nuclear Theory · Physics 2009-11-11 A. Deltuva , A. C. Fonseca , P. U. Sauer

The reactive collisions of the CH$^+$ molecular ion with electrons is studied in the framework of the multichannel quantum defect theory, taking into account the contribution of the core-excited Rydberg states. In addition to the…

Instrumentation and Methods for Astrophysics · Physics 2024-05-01 K. Chakrabarti , J. Zs Mezei , O. Motapon , A. Faure , O. Dulieu , K. Hassouni , I. F. Schneider

We present an algorithm for the numerical solution of the equations governing combustion in porous inert media. The discretization of the flow problem is performed by the mixed finite element method, the transport problems are discretized…

Numerical Analysis · Mathematics 2016-09-01 Peter Knabner , Gerhard Summ

The influence on the fusion process of coupling to collective degrees of freedom has been explored. The significant enhancement of the fusion cross section at sub-barrier energies was compared to predictions of one-dimensional barrier…

Nuclear Theory · Physics 2008-11-26 C. Beck

We introduce a dilated coordinate method to address computational challenges in nuclear lattice effective field theory (NLEFT) for weakly-bound few-body systems. The approach employs adaptive mesh refinement via analytic coordinate…

Nuclear Theory · Physics 2025-09-18 Guangzhao He , Zhenyu Zhang , Teng Wang , Qian Wang , Bing-Nan Lu

The light weakly-bound nucleus $^7$Li is studied within a dicluster $\alpha+t$ picture. Different observables obtained within our simple model are compared with previous calculations and experiments showing good agreement. In particular we…

Nuclear Theory · Physics 2007-05-23 Lorenzo Fortunato , Andrea Vitturi

We develop a convergent reaction-drift-diffusion master equation (CRDDME) to facilitate the study of reaction processes in which spatial transport is influenced by drift due to one-body potential fields within general domain geometries. The…

Numerical Analysis · Mathematics 2025-01-22 Samuel A. Isaacson , Ying Zhang

The many-body Coulomb repulsive energy of strictly correlated electrons provides direct information of the exact Hohenberg-Kohn exchange-correlation functional in the strong interaction limit. Until now the treatment of strictly correlated…

Chemical Physics · Physics 2013-03-13 Christian B. Mendl , Lin Lin

We study the three-body decays \(\Lambda_b \to D^+ D^- \Lambda,~D^0D_s^- p,~D_s^+D_s^-\Lambda\), considering both internal and external emission mechanisms that produce various meson-baryon final states. Using a unitarized coupled-channel…

High Energy Physics - Phenomenology · Physics 2025-07-03 Jing Song , Melahat Bayar , Eulogio Oset

Extensions of the eikonal approximation to low energy (20MeV/nucleon typically) are studied. The relation between the dynamical eikonal approximation (DEA) and the continuum-discretized coupled-channels method with the eikonal approximation…

Nuclear Theory · Physics 2014-09-25 Tokuro Fukui , Kazuyuki Ogata , Pierre Capel

A new version of the method of Continuum-Discretized Coupled-Channels method (CDCC) is proposed, that is, the Eikonal-CDCC method (E-CDCC). The E-CDCC equation, for Coulomb dissociation in particular, can easily and safely be solved, since…

Nuclear Theory · Physics 2007-05-23 Kazuyuki Ogata , M. Yahiro , Y. Iseri , T. Matsumoto , N. Yamashita , M. Kamimura

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron breakup and of three-body electromagnetic disintegration of ${}^3\mathrm{He}$. The hadron dynamics is based on the purely nucleonic…

Nuclear Theory · Physics 2014-11-18 A. Deltuva , A. C. Fonseca , P. U. Sauer

Breakup reactions of loosely-bound nuclei are often used to extract structure and/or astrophysical information. Here we compare three non-perturbative reaction theories often used when analyzing breakup experiments, namely the continuum…

Nuclear Theory · Physics 2015-06-04 P. Capel , H. Esbensen , F. M. Nunes

Three different numerical techniques for solving a coupled channel Schroedinger equation are compared. This benchmark equation, which describes the collision between two ultracold atoms, consists of two channels, each containing the same…

Atomic Physics · Physics 2009-10-31 G. H. Rawitscher , B. D. Esry , E. Tiesinga , J. P. Burke

The problem of the logarithmic discretization of an arbitrary positive function (such as the density of states) is studied in general terms. Logarithmic discretization has arbitrary high resolution around some chosen point (such as Fermi…

Strongly Correlated Electrons · Physics 2009-08-06 Rok Zitko