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A kernel-based approach for the learning of the solution operator of general nonhomogeneous partial differential equations (PDEs) is proposed. The method incorporates physical priors, typically encoded through the PDE operator, into a…

Numerical Analysis · Mathematics 2026-05-12 Jianyu Hu , Juan-Pablo Ortega

Dispersive corrections to the total cross section for high-energy scattering from a heavy nucleus are calculated using a matrix model, based on the triple-Pomeron behavior of diffractive scattering from a single nucleon, for the cross…

Nuclear Theory · Physics 2009-11-07 David R Harrington

The ground and excited states of the 3H and 4He nuclei are studied in the framework of group-theoretical methods. Basis functions of the unitary scheme model corresponding to even numbers of quanta of excitation in the range from zero to…

Nuclear Theory · Physics 2018-02-21 S. B. Doma , H. S. El-Gendy

Developing neural operators that accurately predict the behavior of systems governed by partial differential equations (PDEs) across unseen parameter regimes is crucial for robust generalization in scientific and engineering applications.…

Machine Learning · Computer Science 2026-04-21 Eva van Tegelen , Taniya Kapoor , George A. K. van Voorn , Peter van Heijster , Ioannis N. Athanasiadis

A methodology is developed to compute photoionization cross-sections beyond the electric dipole (BED) approximation from response theory, using Gaussian type orbitals and plane waves for the initial and final states, respectively. The…

Atomic Physics · Physics 2019-02-20 Iulia Emilia Brumboiu , Olle Eriksson , Patrick Norman

A finite-dimensional matrix model for the nucleon-nucleon cross section operator is used to calculate the dispersive correction to nucleon-nucleus total cross sections, and the leading terms in its expansion in the number of inelastic…

Nuclear Theory · Physics 2007-05-23 David R. Harrington

In the exothermic process of fission decay, an atomic nucleus splits into two or more independent fragments. Several aspects of nuclear fission are not properly understood, in particular the formation of the neck between the nascent…

Nuclear Theory · Physics 2022-05-05 Z. X. Ren , D. Vretenar , T. Niksic , P. W. Zhao , J. Zhao , J. Meng

The resonant process of nuclear excitation by electron transition (NEET) in highly charged ions is investigated. In NEET, a bound electronic decay transition occurs with the simultaneous excitation of the nucleus, provided that the energies…

Atomic Physics · Physics 2012-03-19 Srinivas K. Arigapudi , Adriana Pálffy

Invariance under time translation (or stationarity) is probably one of the most important assumptions made when investigating electromagnetic phenomena. Breaking this assumption is expected to open up novel possibilities and result in…

Applied Physics · Physics 2021-10-06 M. S. Mirmoosa , T. T. Koutserimpas , G. A. Ptitcyn , S. A. Tretyakov , R. Fleury

In order to model experimental non-resonant Raman optical activity, chemists must compute a host of second-order response tensors, (e.g. the electric-dipole magnetic-dipole polarizability) and their nuclear derivatives along a set of…

Chemical Physics · Physics 2025-12-12 Zhen Tao , Mansi Bhati , Joseph E. Subotnik

We make a detailed assessment of which form of the dipole operator to use in calculating high order harmonic generation within the framework of the strong field approximation, and look specifically at the role the form plays in the…

Atomic Physics · Physics 2015-05-19 B. B. Augstein , C. Figueira de Morisson Faria

We construct the formula for the photonuclear total absorption cross section using the projection method and the unitarity relation. Our treatment is very effective when interference effects in the absorption processes on a nucleon are…

Nuclear Theory · Physics 2009-11-07 M. Hirata , N. Katagiri , K. Ochi , T. Takaki

We extend the original idea of reduced nuclear amplitudes to capture individual helicity amplitudes and discuss various applications to exclusive processes involving the deuteron. Specifically, we consider deuteron form factors, structure…

Nuclear Theory · Physics 2023-05-03 J. Flores , S. S. Chabysheva , J. R. Hiller

INTRODUCTION This papers deals with partial differential equations of second order, linear, with constant and not constant coefficients, in two variables, which admit real characteristics. I face the study of PDEs with the mentality of the…

General Mathematics · Mathematics 2017-11-06 Andrea Pezzi

Quasi-forbidden electronic transitions in atoms and quasi-degenerate vibronic transitions in molecules serve as powerful probes of hypothetical temporal variations of fundamental constants. Computation of the sensitivity of a transition to…

Chemical Physics · Physics 2025-11-17 Carsten Zülch , Konstantin Gaul , Robert Berger

The 4He total photoabsorption cross section is calculated with the realistic nucleon-nucleon potential Argonne V18 and the three-nucleon force (3NF) Urbana IX. Final state interaction is included rigorously via the Lorentz Integral…

Nuclear Theory · Physics 2008-11-26 D. Gazit , S. Bacca , N. Barnea , W. Leidemann , G. Orlandini

The electric dipole polarizabilities of $^3$H, $^3$He, and $^4$He are calculated directly using the Schr\"odinger equation with the latest generation of two- and three-nucleon interactions. These polarizabilities are necessary in order to…

Nuclear Theory · Physics 2010-05-27 I. Stetcu , S. Quaglioni , J. L. Friar , A. C. Hayes , P. Navrátil

We develop a new ab initio many-body approach capable of describing simultaneously both bound and scattering states in light nuclei, by combining the resonating-group method with the use of realistic interactions, and a microscopic and…

Nuclear Theory · Physics 2009-12-31 Sofia Quaglioni , Petr Navratil

Radiative corrections are playing an increasingly significant role in low-energy nuclear physics. We investigate the influence of photons as explicit degrees of freedom within nuclear EFT on the deuteron binding energy, charge form factor,…

Nuclear Theory · Physics 2025-03-18 Immo C. Reis

We present a theoretical study of the processes d(d,p)3H and d(d,n)3He at energies of interest for energy production and for big-bang nucleosynthesis. We accurately solve the four body scattering problem using the ab-initio hyperspherical…

Nuclear Theory · Physics 2023-03-29 M. Viviani , L. Girlanda , A. Kievsky , D. Logoteta , L. E. Marcucci