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The location of the proton dripline in a new phenomenological mass formula is calculated. Predictions of different mass formulas for the dripline are compared. The implications of the new mass formula for rapid proton nucleosynthesis beyond…

Nuclear Theory · Physics 2012-07-30 Chirashree Lahiri , G. Gangopadhyay

Nonstationary and nonequilibrium processes are considered on the basis of an Enskog-Landau kinetic equation using a boundary conditions method. A nonstationary solution of this equation is found in the pair collision approximation. This…

Plasma Physics · Physics 2007-05-23 A. E. Kobryn , I. P. Omelyan , M. V. Tokarchuk

This white paper reports on the discussions of the 2018 Facility for Rare Isotope Beams Theory Alliance (FRIB-TA) topical program "From bound states to the continuum: Connecting bound state calculations with scattering and reaction theory".…

We construct a 1D toy model to describe the structural properties of Borromean nuclei at the continuum threshold. The system is composed by two valence neutrons that are bound thanks to a residual interaction. Different discretization…

Nuclear Theory · Physics 2014-10-28 Laura Moschini , Andrea Vitturi , Francisco Peréz Bernal

This paper tests a dielectric model for variation of hydration free energy with geometry of complex solutes in water. It works out some basic aspects of the theory of boundary integral methods for these problems. One aspect of the…

chem-ph · Physics 2008-02-03 L. R. Pratt , G. J. Tawa , G. Hummer , A. E. Garcia , S. A. Corcelli

We consider the numerical approximation of boundary conditions in radiative transfer problems by a perfectly matched layer approach. The main idea is to extend the computational domain by an absorbing layer and to use an appropriate…

Numerical Analysis · Mathematics 2018-02-26 Herbert Egger , Matthias Schlottbom

In this paper, we consider the large-time behavior of solutions of a reaction diffusion system arising from a nuclear reactor model with the Robin boundary conditions, which consists of two real-valued unknown functions. In particular, we…

Analysis of PDEs · Mathematics 2018-11-12 Kosuke Kita , Mitsuharu Ôtani

We consider the liquid drop model for nuclei interacting with a neutralizing homogeneous background of electrons. The regime we are interested in is when the fraction between the electronic and the nuclear charge density is small. We show…

Mathematical Physics · Physics 2021-03-26 Lukas Emmert , Rupert L. Frank , Tobias König

We study a system of diffusing point particles in which any triplet of particles reacts and is removed from the system when the relative proximity of the constituent particles satisfies a predefined condition. Proximity-based reaction…

Numerical Analysis · Mathematics 2025-04-07 Taylor Kearney , Ricardo Ruiz-Baier , Mark B. Flegg

Negative refractive index materials have attracted significant research attention due to their unique electromagnetic response characteristics. In this paper, we employ the complementing boundary condition to establish rigorous a priori…

Analysis of PDEs · Mathematics 2025-05-28 Wenjing Zhang , Yu Chen , Yixian Gao

A method for incorporating the effect of the resonant continuum into Hartree-Fock+BCS equations is proposed. The method is applied for the case of a neutron-rich nucleus calculated with a Skyrme-type force plus a zero-range pairing…

Nuclear Theory · Physics 2016-09-08 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

We study a single, motionless three-dimensional droplet growing by adsorption of diffusing monomers on a 2D substrate. The diffusing monomers are adsorbed at the aggregate perimeter of the droplet with different boundary conditions. Models…

Statistical Mechanics · Physics 2009-10-31 Z. Tavassoli , G. J. Rodgers

The classical models for irreversible diffusion-influenced reactions can be derived by introducing absorbing boundary conditions to over-damped continuous Brownian motion (BM) theory. As there is a clear corresponding stochastic process,…

Statistical Mechanics · Physics 2016-10-13 Mauricio J. Del Razo , Hong Qian

We present $\Phi$- and $J/\Psi$--nuclear bound state energies and absorption widths for some selected nuclei, using potentials in the local density approximation computed from an effective Lagrangian approach combined with the quark-meson…

High Energy Physics - Phenomenology · Physics 2020-01-08 J. J. Cobos-Martínez , K. Tsushima , G. Krein , A. W. Thomas

Resonances, also known as quasinormal modes (QNM) in the non-Hermitian case, play a ubiquitous role in all domains of physics ruled by wave phenomena, notably in continuum mechanics, acoustics, electrodynamics, and quantum theory. The…

A numerical method is devised for study of stochastic partial differential equations describing directed percolation, the contact process, and other models with a continuous transition to an absorbing state. Owing to the heightened…

Condensed Matter · Physics 2009-10-22 Ronald Dickman

Recent improvements and remaining problems in the prediction of thermonuclear rates are reviewed. The main emphasis is on statistical model calculations, but the challenge to include direct reactions close to the driplines is also briefly…

Nuclear Theory · Physics 2007-05-23 T. Rauscher

A theory of pump-probe spectroscopy is developed in which optical fields drive two-quantum, Raman-like transitions between ground state sublevels. Three fields are incident on an ensemble of atoms. Two of the fields act as the pump field…

Atomic Physics · Physics 2009-11-06 P. R. Berman , B. Dubetsky

Coulomb breakup is used to infer radiative-capture cross sections at astrophysical energies. We test theoretically the accuracy of this indirect technique in the particular case of 15C, for which both the Coulomb breakup to ^{14}C+n and the…

Nuclear Theory · Physics 2016-07-25 Pierre Capel , Yvan Nollet

We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics of crystalline materials. The method uses atomistic models such as molecular dynamics near defects and interfaces, and continuum models away…

Materials Science · Physics 2009-11-07 Weinan E , Zhongyi Huang