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We present the first systematic nonlocal dispersive optical model analysis using both bound-state and scattering data of $^{16,18}$O, $^{40,48}$Ca, $^{58,64}$Ni, $^{112,124}$Sn, and $^{208}$Pb. In all systems, roughly half the total nuclear…

Nuclear Theory · Physics 2020-09-09 C. D. Pruitt , R. J. Charity , L. G. Sobotka , M. C. Atkinson , W. H. Dickhoff

This chapter presents an overview of the optical model description of nucleon-nucleus scattering and reactions based on fundamental nuclear two-body and many-body forces. The chapter begins with a historical review followed by a discussion…

Nuclear Theory · Physics 2022-06-09 J. W. Holt , T. R. Whitehead

We study problems in which a local model is coupled with a nonlocal one. We propose two energies: both of them are based on the same classical weighted $H^1$-semi norm to model the local part, while two different weighted $H^s$-semi norms,…

Numerical Analysis · Mathematics 2025-05-27 Juan Pablo Borthagaray , Patrick Ciarlet

Laser speckles have become a fundamental component of the modern optics-research toolbox. Not only are speckle patterns the basis of numerous imaging techniques, but also, they are employed to generate optical potentials for cold atoms and…

Optics · Physics 2019-03-12 Nicholas Bender , Hasan Yilmaz , Yaron Bromberg , Hui Cao

We investigate the nonlocality in microscopic optical potentials derived from chiral effective field theory. For this purpose we employ the Perey-Buck ansatz, which connects the energy dependence of purely local optical potentials to a…

Nuclear Theory · Physics 2025-09-11 Laina M. Stahulak , Jeremy W. Holt

We derive an analytical expression for the local two-particle vertex of the Falicov-Kimball model, including its dependence on all three frequencies, the full vertex and all reducible vertices. This allows us to calculate the self energy in…

Strongly Correlated Electrons · Physics 2016-06-17 T. Ribic , G. Rohringer , K. Held

High precision angular distribution data of ($\alpha$,$\alpha$) elastic scattering are presented for the nuclei $^{89}$Y, $^{92}$Mo, $^{106,110,116}$Cd, $^{112,124}$Sn, and $^{144}$Sm at energies around the Coulomb barrier. Such data with…

Nuclear Experiment · Physics 2015-05-05 P. Mohr , G. G. Kiss , Zs. Fülöp , D. Galaviz , Gy. Gyürky , E. Somorjai

We formulate and implement a microscopic framework to derive an optical potential from the solution to an effective Hamiltonian and use it to calculate neutron scattering cross sections for the deformed nuclei $^{24}$Mg, $^{48}$Cr and…

Nuclear Theory · Physics 2026-04-02 J. Boström , B. G. Carlsson , A. Idini

We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors…

Chemical Physics · Physics 2010-12-27 Oleg A. Vydrov , Troy Van Voorhis

We introduce a finite-range pseudopotential built as an expansion in derivatives up to next-to-next-to-next-to-leading order (N$^3$LO) and we calculate the corresponding nonlocal energy density functional (EDF). The coupling constants of…

Nuclear Theory · Physics 2015-06-18 F. Raimondi , K. Bennaceur , J. Dobaczewski

The solution of the classical Fermi problem of low-energy neutron scattering by nuclei, when the excitations of the nuclei in scattering processes are taken into account, is found by the method of zero-range potentials with inner structure.…

Quantum Physics · Physics 2007-05-23 Vladimir I. Kruglov , Boris S. Pavlov

It is shown that a non-relativistic Fermi particle with a non-zero rest energy moving in a pseudoscalar ${\delta}$-function potential in one dimension can be confined for both signs of the coupling constant. The binding energies depend on…

High Energy Physics - Theory · Physics 2023-12-18 Fuad M. Saradzhev

We present an approach for the description of fluorescence from optically active material embedded in layered periodic structures. Based on an exact electromagnetic Green's tensor analysis, we determine the radiative properties of emitters…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Francesco Intravaia , Kurt Busch

Two body data alone cannot determine the potential uniquely, one needs three-body data as well. A method is presented here which simultaneously fits local or nonlocal potentials to two-body and three-body observables. The interaction of…

Nuclear Theory · Physics 2008-12-18 Z. Papp , S. Moszkowski

Surface plasmons on metals can concentrate light into sub-nanometric volumes and on these near atomic length scales the electronic response at the metal interface is smeared out over a Thomas-Fermi screening length. This nonlocality is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Yu Luo , A. I. Fernandez-Dominguez , Aeneas Wiener , S. A. Maier , J. B. Pendry

All particles of the same type are indistinguishable, according to a fundamental quantum principle. This entails a description of many-particle states using symmetrised or anti-symmetrised wave functions, which turn out to be formally…

Quantum Physics · Physics 2024-04-29 Pawel Blasiak , Marcin Markiewicz

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 summarize some of the results presented in arXiv:1801.07975 [nucl-th]\cite{FSIpaper}(to be published in EPJC in 2018) on modeling electron and neutrino QE scattering on a variety of nuclei within the impulse approximation. We find that…

High Energy Physics - Phenomenology · Physics 2020-04-02 Arie Bodek , Tejin Cai

Nucleus-nucleus optical potentials are constructed from an energy density functional approach first outlined by Brueckner et al. The interaction term of the energy density functional comes from the complex nucleon self-energy computed in…

Nuclear Theory · Physics 2022-10-07 T. R. Whitehead

The presence of a particle continuum, both of a resonant and non-resonant character, can significantly impact spectroscopic properties of weakly bound nuclei and excited nuclear states close to, and above, the particle emission threshold.…

Nuclear Theory · Physics 2008-11-26 N. Michel , W. Nazarewicz , M. Ploszajczak