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In this paper we study the distribution of scattering resonances for a multidimensional semi-classical Schr\"odinger operator, associated to a potential well in an island at energies close to the maximal one that limits the separation of…

偏微分方程分析 · 数学 2021-02-02 Johannes Sjöstrand , Maher Zerzeri

The effects of components in an assumed model interaction potential, as well as of the order to which its deformation is taken, upon resonances in the low-energy cross sections and upon sub-threshold bound states of the compound nucleus…

核理论 · 物理学 2007-05-23 K Amos , L. Canton , G. Pisent , J. P. Svenne , D van der Knijff

A new parametrization of the multi-channel S-matrix is used to fit scattering data and then to locate the resonances as its poles. The S-matrix is written in terms of the corresponding "in" and "out" Jost matrices which are expanded in the…

核理论 · 物理学 2016-03-08 P. Vaandrager , S. A. Rakityansky

An extended study of scaling of the first and second kinds for inclusive electron scattering from nuclei is presented. Emphasis is placed on the transverse response in the kinematic region lying above the quasielastic peak. In particular,…

核理论 · 物理学 2009-11-07 C. Maieron , T. W. Donnelly , I. Sick

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…

核理论 · 物理学 2008-11-26 H. F. Arellano , F. A. Brieva , M. Sander , H. V. von Geramb

A reflection-asymmetric deformed oscillator potential is analysed from the classical and quantum mechanical point of view. The connection between occurrence of shell structures and classical periodic orbits is studied using the ''removal of…

核理论 · 物理学 2015-06-26 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

We develop a simple model of shape resonances in electron-molecule collisions that is based on the modified effective-range expansion and analytical solutions of the Schrodinger equation for the long-range part of the interaction potential.…

原子物理 · 物理学 2008-06-02 Zbigniew Idziaszek , Grzegorz Karwasz

The $J$-matrix inverse scattering approach can be used as an alternative to a conventional $R$-matrix in analyzing scattering phase shifts and extracting resonance energies and widths from experimental data. A great advantage of the…

核理论 · 物理学 2009-02-18 A. M. Shirokov , A. I. Mazur , J. P. Vary , E. A. Mazur

This paper develops an efficient numerical method for the inverse scattering problem of a time-harmonic plane wave incident on a perfectly reflecting random periodic structure. The method is based on a novel combination of the Monte Carlo…

数值分析 · 数学 2020-08-13 Gang Bao , Yiwen Lin , Xiang Xu

Elastic-scattering phase shifts for four-nucleon systems are studied in an $ab$-$initio$ type cluster model in order to clarify the role of the tensor force and to investigate cluster distortions in low energy $d+d$ and $t+p$ scattering. In…

核理论 · 物理学 2015-05-28 S. Aoyama , K. Arai , Y. Suzuki , P. Descouvemont , D. Baye

In this work we develop a formalism to evaluate wave functions in momentum and coordinate space for the resonant states dynamically generated in a unitary coupled channel approach. The on shell approach for the scattering matrix, commonly…

高能物理 - 唯象学 · 物理学 2011-01-20 J. Yamagata-Sekihara , J. Nieves , E. Oset

New formulae for the resonant scattering and the production amplitudes near an inelastic threshold are derived. It is shown that the Flatte formula, frequently used in experimental analyses, is not sufficiently accurate. Its application to…

高能物理 - 唯象学 · 物理学 2009-11-13 L. Lesniak

A review is given for cyclotron resonant interactions in space plasmas. After giving a simple formulation for the test particle approach, illustrative examples for resonant interactions are given. It is shown that for obliquely propagating…

高能天体物理现象 · 物理学 2012-11-14 T. Terasawa , S. Matsukiyo

Superscaling analyses of few-GeV inclusive electron scattering from nuclei are extended to include not only quasielastic processes, but now also into the region where $\Delta$-excitation dominates. It is shown that, with reasonable…

核理论 · 物理学 2008-11-26 J. E. Amaro , M. B. Barbaro , J. A. Caballero , T. W. Donnelly , A. Molinari , I. Sick

In this paper, a novel theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials. In this scheme, a new potential is constructed which is strictly isospectral with…

We investigate the on-shell approximation in the context of s-wave scattering for ultracold two-body collisions. Our analysis systematically covers spatial dimensions D=1,2,3 , with the aim of identifying the regimes in which the…

量子气体 · 物理学 2025-11-21 Francesco Lorenzi , Luca Salasnich

The method of effective interaction, traditionally used in the framework of an harmonic oscillator basis, is applied to the hyperspherical formalism of few-body nuclei (A=3-6). The separation of the hyperradial part leads to a state…

核理论 · 物理学 2009-10-31 Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

The reactivity of fusion plasma depends not only on its local density and temperature but also, through a recently identified kinetic effect, on the relative velocities of nearby fluid elements. Turbulence on fine spatial scales therefore…

等离子体物理 · 物理学 2025-06-17 Henry Fetsch , Nathaniel J. Fisch

This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

偏微分方程分析 · 数学 2025-10-03 Yuanchun Ren , Yixian Gao

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators. In principle, this potential carries the rich substructure consisting of quarks and gluons and…

核理论 · 物理学 2009-10-30 L. Jaede , M. Sander , H. V. von Geramb