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A relativistic Green's function and a distorted-wave impulse-approximation approach to charged- and neutral-current neutrino-nucleus quasielastic scattering are developed. Results for the neutrino (antineutrino) reactions on $^{16}$O and…

Nuclear Theory · Physics 2017-08-23 Andrea Meucci , Carlotta Giusti , Franco Davide Pacati

The analysis of quasielastic neutrino and antineutrino-nucleus scattering cross sections requires relativistic theoretical descriptions also accounting for the role of final-state interactions (FSI). In the relativistic Green's function…

Nuclear Theory · Physics 2014-09-22 Carlotta Giusti , Andrea Meucci

In this work we present a three step procedure for generating a closed form expression of the Green's function on both closed and open finite quantum graphs with general self-adjoint matching conditions. We first generalize and simplify the…

Quantum Physics · Physics 2023-09-21 Tristan Lawrie , Sven Gnutzmann , Gregor Tanner

The electromagnetic responses obtained from Green's function Monte Carlo (GFMC) calculations are based on realistic treatments of nuclear interactions and currents. The main limitations of this method comes from its nonrelativistic nature…

Nuclear Theory · Physics 2018-05-09 Noemi Rocco , Winfried Leidemann , Alessandro Lovato , Giuseppina Orlandini

The $^3$He and $^4$He longitudinal and transverse response functions are determined from an analysis of the world data on quasi-elastic inclusive electron scattering. The corresponding Euclidean response functions are derived and compared…

Nuclear Theory · Physics 2010-05-27 J. Carlson , J. Jourdan , R. Schiavilla , I. Sick

Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems under the energy domain Green's function ($G$) framework. This approach is…

Quantum Physics · Physics 2016-08-22 Fabiano M. Andrade , A. G. M. Schmidt , E. Vicentini , B. K. Cheng , M. G. E. da Luz

Models developed within the framework of the relativistic impulse approximation for quasielastic (QE) electron and neutrino-nucleus scattering are discussed. Different descriptions of final-state interactions (FSI) in the inclusive…

Nuclear Theory · Physics 2011-10-19 Carlotta Giusti , Andrea Meucci

An ensemble Green's function formalism, based on the von Neumann density matrix approach, to calculate one-electron excitation spectra of a many-electron system with degenerate ground states is proposed. A set of iterative equations for the…

Strongly Correlated Electrons · Physics 2019-12-24 Erik Linnér , Ferdi Aryasetiawan

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

Understanding quasielastic electron- and neutrino-scattering from nuclei has taken on new urgency with current and planned neutrino oscillation experiments, and with electron scattering experiments measuring specific final states, such as…

Nuclear Theory · Physics 2020-04-29 Saori Pastore , Joseph Carlson , Stefano Gandolfi , Rocco Schiavilla , Robert B. Wiringa

We show that using the properties of the photon Green's function one can successfully describe the propagation of arbitrary nonclassical optical radiation through structured materials. In contrast to the similar input-output approach, our…

Optics · Physics 2009-03-31 F. Richter , D. Yu. Vasylyev , K. Henneberger

This article presents a review of the field of inclusive quasi-elastic electron-nucleus scattering. It discusses the approach used to measure the data and includes a compilation of data available in numerical form. The theoretical…

Nuclear Experiment · Physics 2008-11-26 Omar Benhar , Donal day , Ingo Sick

The quasiclassical Green functions of the Dirac and Klein-Gordon equations in the external electric field are obtained with the first correction taken into account. The relevant potential is assumed to be localized, while its spherical…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Lee , A. I. Milstein , V. M. Strakhovenko

In this paper I discuss a formulation of relativistic few-particle scattering theory where the dynamical input is a collection of reflection-positive Euclidean covariant Green functions. This formulation of relativistic quantum mechanics…

Mathematical Physics · Physics 2015-06-18 W. N. Polyzou

We discuss recent \emph{ab initio} calculations based on self-consistent Green's function theory. It is found that a simple extension of the formalism to account for two-nucleon scattering outside the model space allows to calculate…

Nuclear Theory · Physics 2018-03-14 Carlo Barbieri , Francesco Raimondi , Christopher McIlroy

Green's functions in Physics have proven to be a valuable tool for understanding fundamental concepts in different branches, such as electrodynamics, solid-state and many -body problems. In quantum mechanics advanced courses, Green's…

Physics Education · Physics 2022-10-05 William J. Herrera , Herbert Vinck-Posada , Shirley Gomez Paez

We compare the results of the relativistic Green's function model with the experimental data of the charged-current inclusive differential neutrino-nucleus cross sections published by the T2K Collaboration. The model, which is able to…

Nuclear Theory · Physics 2015-06-11 Andrea Meucci , Carlotta Giusti

The nuclear spectral function at high missing energies and momenta has been determined from a self-consistent calculation of the Green's function in nuclear matter using realistic nucleon-nucleon interactions. The results are compared with…

Nuclear Theory · Physics 2009-11-10 T. Frick , Kh. S. A. Hassaneen , D. Rohe , H. Müther

The resonant interaction between x-ray photons and nuclei is one of the most exciting subjects of the burgeoning field of x-ray quantum optics. A resourceful platform used so far are thin-film x-ray cavities with embedded layers or…

Quantum Physics · Physics 2020-10-02 Xiangjin Kong , Darrick E. Chang , Adriana Pálffy

With the framework of KIDS (Korea-IBS-Daegu-SKKU) density functional model, the isoscalar and isovector effective masses of nucleon and the effect of symmetry energy in nuclear medium are investigated in inclusive $(e,e')$ reaction in…

Nuclear Theory · Physics 2022-02-23 Hana Gil , Chang Ho Hyun , Kyungsik Kim