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Elastic cross sections are calculated and compared with the data on $\pi^{\pm}$ scattering on $^{28}$Si, $^{40}$Ca, $^{58}$Ni, $^{208}$Pb nuclei in the energy range from 130 to 290 MeV. To this end, both the folding optical potential (OP)…

Nuclear Theory · Physics 2021-04-02 V. K. Lukyanov , E. V. Zemlyanaya , K. V. Lukyanov , I. Abdul-Magead

Nonlinear optics is essential for many recent photonic technologies. Here, we introduce a novel multi-scale approach to simulate the nonlinear optical response of molecular nanomaterials combining ab initio quantum-chemical and classical…

We develop a numerical scheme to construct the scattering ($S$) matrix for optical microcavities, including the special cases with parity-time and other non-Hermitian symmetries. This scheme incorporates the explicit form of a nonlocal…

Optics · Physics 2019-03-13 Li Ge

A study of the nucleon mean-field potential in nuclear matter (NM) is done within an extended Hartree-Fock (HF) formalism, using the CDM3Y6 density dependent version of the M3Y interaction which is associated with the nuclear…

Nuclear Theory · Physics 2024-07-25 Dao T. Khoa , Doan Thi Loan , Nguyen Hoang Phuc

The sensitivity of nucleon-nucleus elastic scattering to the off-shell behavior of realistic nucleon-nucleon interactions is investigated when on-shell equivalent nucleon-nucleon potentials are used. The study is based on applications of…

Nuclear Theory · Physics 2008-11-26 H. F. Arellano , F. A. Brieva , M. Sander , H. V. von Geramb

We introduce an algorithm for the solution of a system of radial Schr\"odinger equations describing the inelastic scattering of particles with spin in a partial wave with definite total angular momentum. The system of differential equations…

Quantum Physics · Physics 2026-03-17 Roberto Bruschini

A recently formulated version of the eigenchannel method [R. Szmytkowski, Ann. Phys. (N.Y.) {\bf 311}, 503 (2004)] is applied to quantum scattering of Schr\"odinger particles from non-local separable potentials. Eigenchannel vectors and…

Atomic Physics · Physics 2009-07-28 Remigiusz Augusiak

We derive ab initio optical potentials from self-consistent Green's function (SCGF) theory and compute the elastic scattering of neutrons off oxygen and calcium isotopes. The comparison with scattering data is satisfactory at low scattering…

Nuclear Theory · Physics 2019-09-04 A. Idini , C. Barbieri , P. Navrátil

The solution of a radial Schr\"odinger equation for {\psi}(r) containing a nonlocal potential of the form \int{K(r,r') {\psi}(r') dr'} is obtained to high accuracy by means of two methods. An application to the Perey-Buck nonlocality is…

Computational Physics · Physics 2015-06-04 George H. Rawitscher

Study of scattering process in the nonlocal interaction framework leads to an integro-differential equation. The purpose of the present work is to develop an efficient approach to solve this integro-differential equation with high degree of…

Nuclear Theory · Physics 2018-08-09 N. J. Upadhyay , A. Bhagwat

A spherical optical model potential (OMP) containing a dispersive term is used to fit the available experimental database of angular distribution and total cross section data for n + Al27 covering the energy range 0.1- 250 MeV using…

Nuclear Theory · Physics 2009-11-07 A. Molina , R. Capote , J. M. Quesada , M. Lozano

A generalized optical potential for elastic scattering induced by light nuclei is calculated within the Feshbach projection operator method. The model explicitly takes into account the contribution of the projectile break-up continuum…

Nuclear Theory · Physics 2009-04-28 A. S. Denikin , V. I. Zagrebaev , P. Descouvemont

We introduce the package SWANLOP to calculate scattering waves and corresponding observables for nucleon elastic collisions off spin-zero nuclei. The code is capable of handling local and nonlocal optical potentials superposed to long-range…

Nuclear Theory · Physics 2020-10-28 H. F. Arellano , G. Blanchon

We present algorithms for solving spatially nonlocal diffusion models on the unit sphere with spectral accuracy in space. Our algorithms are based on the diagonalizability of nonlocal diffusion operators in the basis of spherical harmonics,…

Numerical Analysis · Mathematics 2018-06-11 Richard Mikael Slevinsky , Hadrien Montanelli , Qiang Du

Schr\"{o}dinger operators with nonlocal $\delta$-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is…

Mathematical Physics · Physics 2020-09-03 Anna Główczyk , Sergiusz Kużel

Background: Elastic scattering is probably the main event in the interactions of nucleons with nuclei. Even if this process has been extensively studied in the last years, a consistent description, i.e., starting from microscopic two- and…

Nuclear Theory · Physics 2017-11-22 M. Vorabbi , P. Finelli , C. Giusti

Based on the spectator expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent…

Nuclear Theory · Physics 2018-12-05 Ch. Elster , M. Burrows , S. P. Weppner , K. Launey , P. Maris , G. Popa

Elastic scattering of antiprotons off $^4$He, $^{12}$C, and $^{16,18}$O is described for the first time with a totally microscopic approach based on the calculation of an optical potential (OP) describing the antiproton-target interaction.…

Nuclear Theory · Physics 2020-09-16 Matteo Vorabbi , Michael Gennari , Paolo Finelli , Carlotta Giusti , Petr Navrátil

We present a determination of optical potentials for $^{10}$Be-nucleus collisions using the double-folding method to compute the real part and Kramers-Kronig dispersion relations to derive the imaginary part. As microscopic inputs we use…

Nuclear Theory · Physics 2022-09-29 V. Durant , P. Capel

Nonlocal nucleon-nucleus optical potential with rotational quadrupole deformation enabling the excitation of the ${}^{24}\mathrm{Mg}(2^+)$ state is developed; it fits well the proton-${}^{24}\mathrm{Mg}$ elastic and inelastic differential…

Nuclear Theory · Physics 2023-06-21 A. Deltuva , D. Jurčiukonis