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A new computational method for solving the nucleon-deuteron breakup scattering problem has been applied to study the elastic neutron- and proton-deuteron scattering on the basis of the configuration-space Faddeev-Noyes-Noble-Merkuriev…

Nuclear Theory · Physics 2010-06-10 V. M. Suslov , M. A. Braun , I. N. Filikhin , B. Vlahovic , I. Slaus

The multirank separable kernels of the neutron-proton interaction for uncoupled $S$ and $P$ partial waves (with the total angular momentum $J$=0,1) are proposed. Two different methods of a relativistic generalization of initially…

Nuclear Theory · Physics 2010-01-15 S. G. Bondarenko , V. V. Burov , W. -Y. Pauchy Hwang , E. P. Rogochaya

A condition, at which the one-dimensional inverse power potential becomes reflectionless during propagation through it of a plane wave, is obtained on the basis of SUSY QM methods. A scattering of a particle on spherically symmetric inverse…

Quantum Physics · Physics 2007-05-23 Sergei P. Maydanyuk

Deuteron-proton elastic scattering is considered at the energies from 880 MeV to 2 GeV at the scattering angles $\theta^*\ge 140^\circ$. The multiple-scattering method is used to calculate the reaction amplitude. Four reaction mechanisms…

Nuclear Theory · Physics 2024-07-02 Nadezhda Ladygina

The method of zero-range potentials is generalized to account for the molecular electron excitation process. It is made by a matrix formulation in which a state vector components are associated with a scattering channel. The multi-center…

Quantum Physics · Physics 2009-11-07 S. Leble , S. Yalunin

Angular distributions of the elastic and inelastic deuteron-nucleus scattering off $^{24}$Mg, $^{28}$Si, $^{58}$Ni, $^{90}$Zr, $^{116}$Sn, and $^{208}$Pb have been measured at a beam energy of 98 MeV/nucleon, with the goal of constraining…

The dynamic polarization potential (DPP) contribution to the effective proton-nucleus interaction, that is due to the coupling of deuteron channels, is evaluated by applying $S_{lj} \to V(r)$ inversion to the elastic channel $S$-matrix from…

Nuclear Theory · Physics 2011-06-21 R. S. Mackintosh , N. Keeley

We establish modified scattering for solutions of the cubic NLS on the line with a repulsive inverse square potential and small localized data. The method is based on a comparison between the free and distorted Galilei vector fields and a…

Analysis of PDEs · Mathematics 2025-08-05 Joachim Krieger , Wilhelm Schlag , Klaus Widmayer

We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We employ the theory of…

Numerical Analysis · Mathematics 2024-07-18 Yakun Dong , Kamran Sadiq , Otmar Scherzer , John C. Schotland

The application of the Lorentz integral transform (LIT) method to photon scattering off nuclei is presented in general. As an example, elastic photon scattering off the deuteron in the unretarded dipole approximation is considered using the…

Nuclear Theory · Physics 2017-11-22 Giulia Bampa , Winfried Leidemann , H. Arenhövel

Nucleon-nucleon potential is given in coordinate space starting from the Bethe-Salpeter equation appropriate to elastic scattering at the intermediate energy region. The next order in the potential is added to construct the scattering wave…

Nuclear Theory · Physics 2017-06-06 Susumu Kinpara

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

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

The three-nucleon ground state and the N--d scattering states are obtained using variational principles. The wave function of the system is decomposed into angular-spin-isospin channels and the corresponding two dimensional spatial…

Nuclear Theory · Physics 2009-10-30 Alejandro Kievsky

An algebraic approach to neutron scattering on a one dimensional potentials is generalized to diffraction on three dimensional single crystals.

Optics · Physics 2007-05-23 V. K. Ignatovich

We apply our method of complex scaling, valid for a general class of potentials, in a search for nucleon-nucleon S-matrix poles up to 2 GeV laboratory kinetic energy. We find that the realistic potentials JISP16, constructed from inverse…

Nuclear Theory · Physics 2015-05-20 G. Papadimitriou , J. P. Vary

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

The scattering of a weakly bound (halo) projectile nucleus by a heavy target nucleus is investigated. A new approach, called the Uncorrelated Scattering Approximation, is proposed. The main approximation involved is to neglect the…

Nuclear Theory · Physics 2009-11-07 A. M. Moro , J. A. Caballero , J. Gómez-Camacho

Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in…

High Energy Physics - Phenomenology · Physics 2020-01-08 J. A. Oller

The inverse scattering problem of the three-dimensional Schroedinger equation is considered at fixed scattering energy with spherically symmetric potentials. The phase shifts determine the potential therefore a constructive scheme for…

Mathematical Physics · Physics 2011-11-28 Tamas Palmai , Barnabas Apagyi
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