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We derive the $\mathcal{T}$-matrix formalism tailored for numerical analysis of second-harmonic (SH) generation from arbitrarily shaped particles made of centrosymmetric optical materials. First, the transfer matrix of a single particle is…

Optics · Physics 2025-08-18 Ivan Sekulic , Ji Tong Wang , Jian Wei You , Nicolae C. Panoiu

Employing a recently-developed dispersive optical model (DOM) which allows a complete description of experimental data both above (up to 200 MeV) and below the Fermi energy in $^{40}$Ca, we demonstrate that elastic nucleon-nucleus…

Nuclear Theory · Physics 2015-02-20 H. Dussan , M. H. Mahzoon , R. J. Charity , W. H. Dickhoff , A. Polls

We test microscopic global optical potential in three-body calculations of deuteron-nucleus scattering. We solve Faddeev-type equations for three-body transition operators. We calculate differential cross section and analyzing power for the…

Nuclear Theory · Physics 2025-02-25 A. Deltuva , D. Jurčiukonis , D. Likandrovas , J. Torres Fernandez

A recently derived dispersive optical model potential (DOMP) for $^{208}$Pb is extended to consider the non-locality in the real potential and the shell-gap in the definition of the nuclear imaginary potentials near the Fermi energy. The…

Nuclear Theory · Physics 2020-07-01 Xiuniao Zhao , Weili Sun , R. Capote , E. Sh. Soukhovitski\~ı , D. S. Martyanov , J. M. Quesada

Our computation effort is primarily concentrated on support of current and future measurements being carried out at various synchrotron radiation facilities around the globe, and photodissociation computations for astrophysical…

Atomic Physics · Physics 2017-01-17 B M McLaughlin , C P Ballance , M S Pindzola , P C Stancil , S Schippers , A Müller

A review of a renewed effort to recalculate astrophysical opacities using the R-Matrix method is presented. The computational methods and new extensions are described. Resulting enhancements found in test calculations under stellar interior…

Solar and Stellar Astrophysics · Physics 2018-01-09 Anil K. Pradhan , Sultana N. Nahar

Optical potentials are a standard tool in the study of nuclear reactions, as they describe the interaction between a target nucleus and a projectile. The use of phenomenological optical potentials built using experimental data on stable…

Nuclear Theory · Physics 2025-11-18 G. H. Sargsyan , G. Potel , K. Kravvaris , J. E. Escher

We consider the elastic scattering problem by multiple disjoint arcs or \emph{cracks} in two spatial dimensions. A key aspect of our approach lies in the parametric description of each arc's shape, which is controlled by a potentially…

Numerical Analysis · Mathematics 2024-03-19 Fernando Henríquez , José Pinto

Distance-dependent phase shifts, amplitude functions, and radial wave functions for neutron-alpha elastic scattering are studied using the Variable Phase Approach. The microscopic KKNN potential is employed to calculate scattering…

Nuclear Theory · Physics 2025-12-16 Anil Khachi

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

Exploiting an approach similar to the R-matrix theory, the diffusion Monte Carlo method is employed to compute phase shifts and threshold cross sections for the elastic scattering of o-positronium off light atoms. Results are obtained for…

Atomic Physics · Physics 2009-11-07 Simone Chiesa , Massimo Mella , Gabriele Morosi

We propose a hybrid quantum-classical algorithm for solving the time-independent Schr\"odinger equation for atomic and molecular collisions. The algorithm is based on the $S$-matrix version of the Kohn variational principle, which computes…

Quantum Physics · Physics 2023-04-14 Xiaodong Xing , Alejandro Gomez Cadavid , Artur F. Izmaylov , Timur V. Tscherbul

We present a real-time propagation method for computing linear and nonlinear optical properties of molecules based on the Bethe-Salpeter equation. The method follows the time evolution of the one-particle density matrix under an external…

Computational Physics · Physics 2025-09-29 Štěpán Marek , Jan Wilhelm

For 52 target nuclei with deuteron as projectile, we calculate the reaction cross sections and elastic scattering angular distributions, as well as the $\chi^2$ values for 11 kinds of deuteron optical model potentials: our global deuteron…

Nuclear Theory · Physics 2019-04-18 Xiaohua Li , Haixia An , Chonghai Cai

A recently developed formulation for treating two- and three-nucleon bound states in a three-dimensional formulation based on spin-momentum operators is extended to nucleon-nucleon scattering. Here the nucleon-nucleon t-matrix is…

Double--folded optical $\alpha$--nucleus potentials can be used to calculate elastic scattering cross sections in a wide mass-- and energy region. Because of the systematic behavior of the potential parameters we are able to obtain reliable…

Nuclear Theory · Physics 2009-09-25 P. Mohr , H. Abele , U. Atzrott , G. Staudt , R. Bieber , K. Grün , H. Oberhummer , T. Rauscher , E. Somorjai

Optical-model potentials (OMPs) are critical ingredients for basic and applied nuclear physics. Present-day computational capabilities allow us to generate data-driven nucleon-nucleus OMPs that are non-local and exactly dispersive (as…

We apply the spectral element method to the determination of scattering and bound states of the multichannel Schr\"odinger equation. In our approach the reaction coordinate is discretized on a grid of points whereas the internal coordinates…

Computational Physics · Physics 2017-05-12 Andrea Simoni , Alexandra Viel , Jean-Michel Launay

Background: Separable interactions have a long history in nuclear physics. In the last few years, separable expansions have been used to represent the optical potential between a nucleon (proton or neutron) and a target. Purpose: We explore…

Nuclear Theory · Physics 2020-08-12 Michael Quinonez , Linda Hlophe , Filomena Nunes

The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this…

Nuclear Theory · Physics 2020-04-22 Dong Bai , Zhongzhou Ren