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A technique to deal with Coulomb electron distortions in the analysis of (e,e'p) reactions is presented. Thereby, no approximations are made. The suggested technique relies on a partial-wave expansion of the electron wave functions and a…

Nuclear Theory · Physics 2008-11-26 V. Van der Sluys , K. Heyde , J. Ryckebusch , M. Waroquier

We propose a new metric perturbation scheme under a possible constraint of the gauge conditions in which we obtain a physically expected prediction of the orbital evolution caused by the MiSaTaQuWa self-force. In this new scheme of a metric…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yasushi Mino

General expressions for the breakup cross sections in the lab frame for $1+2$ reactions are given in terms of the hyperspherical adiabatic basis. The three-body wave function is expanded in this basis and the corresponding hyperradial…

Nuclear Theory · Physics 2015-06-22 E. Garrido , A. Kievsky , M. Viviani

Theoretical models of low-energy (d,p) single-neutron transfer reactions are a crucial link between experimentation, nuclear structure and nuclear astrophysical studies. Whereas reaction models that use local optical potentials are…

Nuclear Theory · Physics 2016-11-23 G. W. Bailey , N. K. Timofeyuk , J. A. Tostevin

We study relativistic corrections to nuclear interactions caused by boosting the two-nucleon interaction to a frame in which their total momentum does not vanish. These corrections induce a change in the computed value of the…

Nuclear Theory · Physics 2008-11-26 G. A. Miller , A. Schwenk

We calibrate the distorted wave Born approximation (DWBA) for electron impact excitation processes empirically. Differential cross sections (DCS) for the excitation of the $2p^53s$, $2p^53p$,$2p^54s$, and $2p^54p$ configurations of Ne and…

Atomic Physics · Physics 2015-05-27 Yaqiu Liang , Zhangjin Chen , D. H. Madison , C. D. Lin

The adiabatic connection fluctuation-dissipation theorem with the random phase approximation (RPA) has recently been applied with success to obtain correlation energies of a variety of chemical and solid state systems. The main merit of…

Materials Science · Physics 2015-03-20 Thomas Olsen , Kristian S. Thygesen

In this article, a numerical analysis of the projector augmented-wave (PAW) method is presented, restricted to the case of dimension one with Dirac potentials modeling the nuclei in a periodic setting. The PAW method is widely used in…

Numerical Analysis · Mathematics 2023-01-02 Mi-Song Dupuy

We introduce a perturbative approach to solving the time dependent Schroedinger equation, named adiabatic perturbation theory (APT), whose zeroth order term is the quantum adiabatic approximation. The small parameter in the power series…

Quantum Physics · Physics 2009-11-19 Gustavo Rigolin , Gerardo Ortiz , Victor Hugo Ponce

The purpose of the D-Wave adiabatic quantum computer is to find a set of qubit values that minimize its objective function. For various reasons, the set of qubit values returned by the D-Wave has errors. This paper presents a method of…

Quantum Physics · Physics 2017-05-08 John E. Dorband

Total cross sections for electron capture are calculated for collisions of fast protons and alpha-particles with atomic hydrogen. The distorted- wave impulse approximation is applied over the energy range 10-1500 keV/u. State-selective…

Atomic Physics · Physics 2008-02-03 Y. H. Ng , J. F. McCann

Adversarial Training (AT) effectively improves the robustness of Deep Neural Networks (DNNs) to adversarial attacks. Generally, AT involves training DNN models with adversarial examples obtained within a pre-defined, fixed perturbation…

Machine Learning · Computer Science 2024-03-08 Olukorede Fakorede , Modeste Atsague , Jin Tian

A microscopic formalism for describing observed cross sections for deuteron breakup by three-nucleon nuclei was developed on the basis of the diffraction nuclear model. A general formula that describes the amplitude for the reaction…

Nuclear Theory · Physics 2016-07-04 Valery Kovalchuk

The effect of core excitations in transfer reactions of the form A(d, p)B has been found to affect significantly the calculated cross sections and to depend strongly and non-linearly on the incident deuteron energy in Faddeev/AGS…

Nuclear Theory · Physics 2017-04-26 M. Gomez-Ramos , A. M. Moro

We discuss the quasi-adiabatic approximations to the three-body wavefunction in breakup processes, clarifying the assumptions underlying the model. This suggests alternative approximation schemes. Using different theoretical three-body…

Nuclear Theory · Physics 2009-11-07 Mustafa Yilmaz , Bulent Gonul

Within the framework of the relativistic distorted wave impulse approximation (DWIA), we investigate the sensitivity of complete sets of polarization transfer observables for exclusive proton knockout from the 3s$_{1/2}$, 2d$_{3/2}$ and…

Nuclear Theory · Physics 2008-11-26 G. C. Hillhouse , J. Mano , S. M. Wyngaardt , B. I. S. van der Ventel , T. Noro , K. Hatanaka

Theoretical models of the (d,p) reaction are exploited for both nuclear astrophysics and spectroscopic studies in nuclear physics. Usually, these reaction models use local optical model potentials to describe the nucleon- and…

Nuclear Theory · Physics 2017-03-08 G. W. Bailey , N. K. Timofeyuk , J. A. Tostevin

A general analytical expression for the double differential cross section of inclusive deuteron stripping reaction on nuclei at intermediate energies of incident particles was obtained in the diffraction approximation. Nucleon-nucleus…

Nuclear Theory · Physics 2016-03-30 V. I. Kovalchuk

The newly developed nonadiabatic method based on the coupled-channel Schroedinger equation with Gamow states is used to study the phenomenon of proton radioactivity. The new method, adopting the weak coupling regime of the…

Nuclear Theory · Physics 2009-11-06 B. Barmore , A. T. Kruppa , W. Nazarewicz , T. Vertse

An isoscalar $pn$ pair is expected to emerge in nuclei that have similar proton and neutron numbers and it may be a candidate for a deuteron ``cluster.'' There is, however, no experimental evidence for it. The purpose of this paper is to…

Nuclear Theory · Physics 2023-01-04 Yoshiki Chazono , Kazuki Yoshida , Kazuyuki Ogata