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A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for $\alpha$+nucleus systems to find spectra of the compound systems. Low energy spectra for ${}^{12}$C, ${}^{16}$O, and…

Nuclear Theory · Physics 2016-05-11 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

A concise discussion of the basic principles of the controlled nuclear chain reaction is presented.

Nuclear Theory · Physics 2015-09-30 Andreas Aste

The Gray-Scott model can be thought of as an effective theory at large spatiotemporal scales coming from a more fundamental theory valid at shorter spatiotemporal scales. The more fundamental theory includes a composite molecule which is…

Statistical Mechanics · Physics 2019-10-16 John F. Dawson , Fred Cooper , Bogdan Mihaila

In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The system describes the interaction of the chemotherapeutic drug…

Analysis of PDEs · Mathematics 2024-08-20 Jeff Morgan , Bao Quoc Tang , Hong-Ming Yin

The goal of these lectures, oriented towards the students just entering the field, is to provide an elementary introduction to QCD and the physics of nuclear interactions at high energies. We first introduce the general structure of QCD and…

Nuclear Theory · Physics 2009-11-07 D. E. Kharzeev , J. Raufeisen

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

This note shows how classical tools from linear control theory can be leveraged to provide a global analysis of nonlinear reaction-diffusion models. The approach is differential in nature. It proceeds from classical tools of contraction…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Felix Miranda-Villatoro , Rodolphe Sepulchre

We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential, and both the energy and the angular-momentum insensitivities of the short-range…

Atomic Physics · Physics 2009-11-11 Bo Gao , Eite Tiesinga , Carl J. Williams , Paul S. Julienne

We present a recently developed theory for the inclusive breakup of three-fragment projectiles within a four-body spectator model \cite{CarPLB2017}, for the treatment of the elastic and inclusive non-elastic break up reactions involving…

Nuclear Theory · Physics 2017-12-06 M. S. Hussein , L. A. Souza , E. Chimanski , B. V. Carlson , T. Frederico

In this contribution we review the algebraic cluster model (ACM) for $\alpha$-cluster nuclei with $A=4k$ nucleons and its extension to the cluster shell model (CSM) for $A=4k+x$ nuclei. Particular attention is paid to the question to what…

Nuclear Theory · Physics 2025-09-12 Roelof Bijker , Omar Alejandro Díaz Caballero

A general quantum many-body theory in configuration space is developed by extending the traditional coupled cluter method (CCM) to a variational formalism. Two independent sets of distribution functions are introduced to evaluate the…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Xian

We present a method for smoothing discrete breakup $S$-matrix elements calculated by the method of continuum-discretized coupled-channels (CDCC). This smoothing method makes it possible to apply CDCC to four-body breakup reactions. The…

Nuclear Theory · Physics 2009-08-05 Tomoaki Egami , Takuma Matsumoto , Kazuyuki Ogata , Masanobu Yahiro

We systematically study total reaction cross sections of carbon isotopes with N=6-16 on a proton target for wide range of incident energies, putting an emphasis on the difference from the case of a carbon target. The analysis includes the…

Nuclear Theory · Physics 2014-11-18 B. Abu-Ibrahim , W. Horiuchi , A. Kohama , Y. Suzuki

In recent years many-body perturbation theory encountered a renaissance in the field of ab initio nuclear structure theory. In various applications it was shown that perturbation theory, including novel flavors of it, constitutes a useful…

Nuclear Theory · Physics 2020-01-29 Alexander Tichai , Robert Roth , Thomas Duguet

The problem of the structure of nucleons and their interaction in the concept of nonperturbative QCD is discussed as an approach to studying the transformation of current quarks into constituent ones and the search for the mechanism of such…

High Energy Physics - Phenomenology · Physics 2023-03-22 Vladimir I. Komarov

We discuss theoretical calculations of electron- and neutrino-nucleus scattering, carried out using realistic nuclear spectral functions and including the effect of final state interactions. Comparison between electron scattering data and…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. Benhar , N. Farina , H. Nakamura , M. Sakuda , R. Seki

We present a detailed study of charged-current (CC) neutrino-nucleus reactions in a fully relativis- tic framework and comparisons with recent experiments spanning an energy range from hundreds of MeV up to 100 GeV within the SuperScaling…

Nuclear Theory · Physics 2016-11-23 G. D. Megias , J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , I. Ruiz Simo

A three-body scattering process in the presence of Coulomb interaction can be decomposed formally into a two-body single channel, a two-body multichannel and a genuine three-body scattering. The corresponding integral equations are coupled…

Atomic Physics · Physics 2009-11-07 Z. Papp , C-. Y. Hu , Z. T. Hlousek , B. Kónya , S. L. Yakovlev

An overview of the current theoretical studies on neutrino-atom scattering processes is presented. The ionization channel of these processes, which is studied in experiments searching for neutrino magnetic moments, is brought into focus.…

High Energy Physics - Phenomenology · Physics 2014-12-04 Konstantin A. Kouzakov , Alexander I. Studenikin

We propose a framework to explore the internal charge distribution of mesoscopic quasiparticles by inelastic x-ray scattering, while also accounting for the conventional scattering from electrons. Specifically, we investigate a new…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Joris Sturm , Andrei Benediktovitch , Nina Rohringer , Andreas Knorr