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We present a method to calculate neutron scattering cross sections for deformed nuclei using many--body wavefunctions described with multiple reference states. Nuclear states are calculated with the generator coordinate method using a low…

Nuclear Theory · Physics 2025-09-08 J. Boström , J. Rotureau , B. G. Carlsson , A. Idini

In this paper, exact solutions to the problem of acoustic scattering by elastic spherical symmetric scatterers are developed. The scatterer may consist of an arbitrary number of fluid and solid layers, and scattering with single Neumann…

Mathematical Physics · Physics 2022-04-21 Jon Vegard Venås , Trond Jenserud

This paper addresses the question, whether the solutions of the scattering equations in four space-time dimensions can be expressed as rational functions of the momentum twistor variables. This is the case for $n\le5$ external particles.…

High Energy Physics - Theory · Physics 2015-06-18 Stefan Weinzierl

We argue that, in many situations, fits to elastic scattering data that were historically, and frequently still are, considered `good', are not justifiably so describable. Information about the dynamics of nucleon-nucleus and…

Nuclear Theory · Physics 2017-04-12 R. S. Mackintosh

A partial-wave analysis of NN elastic scattering data has been completed. This analysis covers an expanded energy range, from threshold to a laboratory kinetic energy of 2.5 GeV, in order to include recent elastic pp scattering data from…

Nuclear Theory · Physics 2008-11-26 R. A. Arndt , C. H. Oh , I. I. Strakovsky , R. L. Workman , F. Dohrmann

We solve the neutron-deuteron (nd) scattering in the Faddeev formalism, employing the NN sector of the quark-model baryon-baryon interaction fss2. The energy-dependence of the NN interaction, inherent to the resonating-group formulation of…

Nuclear Theory · Physics 2011-02-16 Yoshikazu Fujiwara , Kenji Fukukawa

The relativistic Faddeev equation for three-nucleon scattering is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. Relativistic invariance is achieved by…

Nuclear Theory · Physics 2008-11-26 T. Lin , Ch. Elster , W. N. Polyzou , W. Gloeckle

The nonelastic breakup (NEB), one of channels in $(d,p)$ inclusive reactions, is studied using the Faddeev-type scattering theory. The NEB differential cross section is obtained in terms of the imaginary part of the neutron-nucleus optical…

Nuclear Theory · Physics 2025-10-20 A. Deltuva

The differential cross-sections for elastic and inelastic neutrino-deuteron scattering are calculated analytically using nucleon-nucleon effective field theory. For elastic scattering, the deuteron axial form factor and the deuteron strange…

Nuclear Theory · Physics 2009-10-31 Malcolm Butler , Jiunn-Wei Chen

The three-body scattering problem in Coulombic systems is widespread, however yet unresolved problem by the mathematically rigorous methods. In this work this long term challenge has been undertaken by combining distorted waves and…

Quantum Physics · Physics 2017-03-08 R. Lazauskas

Neutron scattering off neutron halos can provide important information about the internal structure of nuclei close to the neutron drip line. In this work, we use halo effective field theory to study the $s$-wave scattering of a neutron and…

Nuclear Theory · Physics 2023-08-25 Xu Zhang , Hai-Long Fu , Feng-Kun Guo , Hans-Werner Hammer

We develop a new ab initio many-body approach capable of describing simultaneously both bound and scattering states in light nuclei, by combining the resonating-group method with the use of realistic interactions, and a microscopic and…

Nuclear Theory · Physics 2008-11-26 Sofia Quaglioni , Petr Navratil

The Faddeev-Yakubovski equations are solved in configuration space for the $% \alpha$-particle and n-$^3$H continuum states. We test the ability of nonlocal nucleon-nucleon interaction models to describe 3N and 4N systems.

Nuclear Theory · Physics 2009-11-10 Rimantas Lazauskas , Jaume Carbonell

In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the…

A new method for the determination of the real part of the elastic scattering amplitude is examined for high energy proton-proton and proton-nuclei elastic scattering at small momentum transfer. This method allows to decrease the number of…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Nicolescu , O. V. Selyugin

The series of calculations of differential cross sections and analyzing powers (Ay) of the elastic proton scattering on isotopes 6He and 8He was presented in the framework of the theory of Glauber multiple diffraction scattering. The…

Nuclear Theory · Physics 2013-04-23 E. Ibraeva , O. Imambekov , A. Dzhazairov-Kahramanov

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2011-09-30 Petr Navratil , Sofia Quaglioni , Robert Roth

The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in…

Nuclear Theory · Physics 2009-11-10 A. M. Shirokov , A. I. Mazur , S. A. Zaytsev , J. P. Vary , T. A. Weber

We solve the Faddeev equation in an exactly Poincare invariant formulation of the three-nucleon problem. The dynamical input is a relativistic nucleon-nucleon interaction that is exactly on-shell equivalent to the high precision CDBonn NN…

Nuclear Theory · Physics 2008-11-26 H. Witala , J. Golak , R. Skibinski , W. Glockle , W. N. Polyzou , H. Kamada

We consider the focusing $5$d Hartree equation, which is $L^2$-supercritical, with finite energy initial data, and investigate the solutions at the mass-energy threshold. We establish the existence of special solutions following the work of…

Analysis of PDEs · Mathematics 2022-10-17 Anudeep K. Arora , Svetlana Roudenko