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We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

Radial phase shifts ($\delta(r)$), amplitude functions ($A(r)$), and exact wavefunctions ($u(r)$) for various uncoupled S, P, and D channels of neutron--proton scattering have been calculated using the Phase Function Method (PFM). In these…

Nuclear Theory · Physics 2026-01-29 Anil Khachi

Consider the scattering of a time-harmonic elastic plane wave by a bi-periodic rigid surface. The displacement of elastic wave motion is modeled by the three-dimensional Navier equation in an open domain above the surface. Based on the…

Numerical Analysis · Mathematics 2020-07-28 Gang Bao , Xue Jiang , Peijun Li , Xiaokai Yuan

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the invariant expansion of the reaction amplitude. The relativistic invariant equations for all the polarization observables are presented.…

Nuclear Theory · Physics 2007-05-23 A. Yu. Illarionov , G. I. Lykasov

In recent years, we constructed a microscopic optical potential (OP) for elastic nucleon-nucleus ($NA$) scattering using modern approaches based on chiral theories for the nucleon-nucleon ($NN$) interaction. The OP was derived at first…

We present a simple method for obtaining elastic scattering phase shifts and cross sections from energies of atoms or ions in cavities. This method does not require calculations of wavefunctions of continuum states, is very general, and is…

Atomic Physics · Physics 2009-11-11 I. M. Savukov

The variable-phase approach is applied to scattering and bound states in an attractive Coulomb potential, statically screened by a two-dimensional (2D) electron gas. A 2D formulation of Levinson's theorem is used for bound-state counting…

Condensed Matter · Physics 2009-10-30 M. E. Portnoi , I. Galbraith

The $^6$He+$^{12}$C elastic scattering data at beam energies of 3, 38.3 and 41.6 MeV/nucleon are studied utilizing the microscopic optical potentials obtained by a double-folding procedure and also by using those inherent in the high-energy…

In neutron-proton (n-p) scattering experiments, gas targets have been used to measure scattering length by detecting neutrons and recoil protons. Changes in electron dynamics within the gas target have a negligible effect on dynamics of…

Nuclear Theory · Physics 2023-12-05 Mingzhao Xing , Libin Fu

Converting neutron scattering data to real-space time-dependent structures can only be achieved through suitable models, which is particularly challenging for geometrically disordered structures. We address this problem by introducing…

Chemical Physics · Physics 2021-07-28 Cedric J. Gommes , Reiner Zorn , Sebastian Jaksch , Henrich Frielinghaus , Olaf Holderer

Shell model wave functions have been used to form microscopic g-folding optical potentials with which elastic scattering data from 8He, 10,11C, and 18,20,22O scattering on hydrogen has been analyzed. Those potentials, the effective…

Nuclear Theory · Physics 2009-11-13 S. Karataglidis , Y. J. Kim , K. Amos

An approximate inverse scattering method [7,8] has been used to construct separable potentials with the Laguerre form factors. As an application, we invert the phase shifts of proton-proton in the $^1S_0$ and $^3P_2-^3F_2$ channels and…

Nuclear Theory · Physics 2009-09-25 S. A. Zaitsev , E. I. Kramar

Emulators for low-energy nuclear physics can provide fast & accurate predictions of bound-state and scattering observables for applications that require repeated calculations with different parameters, such as Bayesian uncertainty…

Nuclear Theory · Physics 2023-06-13 A. J. Garcia , C. Drischler , R. J. Furnstahl , J. A. Melendez , Xilin Zhang

We show how the scattering phase shift, the s-wave scattering length and the p-wave scattering volume can be obtained from Riccati equations derived in variable phase theory. We find general expressions that provide upper and lower bounds…

Atomic Physics · Physics 2007-05-23 H. Ouerdane , M. J. Jamieson

The Kohn variational principle and the hyperspherical harmonic technique are applied to study p-3He elastic scattering at low energies. Preliminary results obtained using several interaction models are reported. The calculations are…

Nuclear Theory · Physics 2015-05-18 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci , S. Rosati

Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the…

Nuclear Theory · Physics 2019-04-24 M. Burrows , Ch. Elster , S. P. Weppner , K. D. Launey , P. Maris , A. Nogga , G. Popa

A phenomenological optical potential is generalized to include the Coulomb and nuclear interactions caused by the dynamical deformation of its surface. In the high-energy approach analytical expressions for elastic and inelastic scattering…

Nuclear Theory · Physics 2009-11-11 V. K. Lukyanov , Z. Metawei , E. V. Zemlyanaya

The pion - nucleon scattering phase shifts in $s$ and $p$ waves are analyzed using PKU unitarization approach that can separate the phase shifts into different contributions from poles and branch cuts. It is found that in $S_{11}$ and…

High Energy Physics - Phenomenology · Physics 2018-08-01 Yu-Fei Wang

We propose a novel method to measure the neutron-neutron scattering length using the $^{6}$He$(p,p\alpha)nn$ reaction in inverse kinematics at high energies. The method is based on the final state interaction (FSI) between the neutrons…

A covariant model of elastic pion-nucleon scattering based on the Bethe-Salpeter equation is presented. We obtain a good description of the S- and P-wave phase shifts up to 360 MeV laboratory energy. We also compare results from the…

Nuclear Theory · Physics 2007-05-23 A. D. Lahiff , I. R. Afnan
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