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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…

Nuclear Theory · Physics 2009-02-18 A. M. Shirokov , A. I. Mazur , J. P. Vary , E. A. Mazur

Background: Elastic scattering is probably the main event in the interactions of nucleons with nuclei. Even if this process has been extensively studied in the last years, a consistent description, i.e. starting from microscopic two- and…

Nuclear Theory · Physics 2016-03-30 M. Vorabbi , P. Finelli , C. Giusti

The deuteron quadrupole moment is calculated using two CST model wave functions obtained from the 2007 high precision fits to $np$ scattering data. Included in the calculation are a new class of isoscalar $np$ interaction currents…

Nuclear Theory · Physics 2015-06-23 Franz Gross

Within the framework of potential scattering theory we derive an analytical two-potential formula for the on-shell partial wave scattering amplitude. This formula embodies a large number of possible applications, including long range…

Nuclear Theory · Physics 2009-08-26 M. Pavon Valderrama , E. Ruiz Arriola

Background : Several recent experiments report significant low-energy isoscalar monopole strength, below the giant resonance, in various nuclei. In light $\alpha$-conjugate nuclei, these low-energy resonances were recently interpreted as…

Nuclear Theory · Physics 2022-04-13 F. Mercier , J. -P. Ebran , E. Khan

An algorithm$^{\ref{Fig1}}$ has been developed with the purpose of obtaining inverse potentials, where the Riccati-type non-linear differential equation, also called phase equation, has been kept in tandem with the Variational Monte Carlo…

Nuclear Theory · Physics 2024-04-09 Anil Khachi , Shikha Awasthi , Lalit Kumar , O. S. K. S Sastri

Nucleon transfer reactions in low-energy deuteron-deuteron scattering are described by solving exact four-particle equations in momentum space. The Coulomb interaction between the protons is included using the screening and renormalization…

Nuclear Theory · Physics 2011-08-23 A. Deltuva , A. C. Fonseca

A general analytical expression has been obtained in the diffraction approximation for the polarization of nucleons arising in the deuteron stripping reaction on nuclei at intermediate energies of the incident particles. A tabulated density…

Nuclear Theory · Physics 2018-10-23 Valery I. Kovalchuk

Elastic scattering is a very important process to understand nuclear interactions in finite nuclei. Despite decades of efforts, the goal of reaching a coherent description of this physical process in terms of microscopic forces is still far…

Nuclear Theory · Physics 2018-12-12 Matteo Vorabbi , Paolo Finelli , Carlotta Giusti

NN and Pi-N partial wave radial potentials have been generated using the latest SM94-VPI(NN) and FA93-VPI(Pi-N) phase shifts. The potentials are used to determine the deuteron properties and to compute the 3H and 3He binding energies. The…

Nuclear Theory · Physics 2008-02-03 M. Sander , C. Beck , B. C. Schroeder , H. -B. Pyo , H. Becker , J. Burrows , H. V. von Geramb , Y. Wu , S. Ishikawa

We examine the two-photon exchange corrections to elastic electron-proton scattering within a dispersive approach, including contributions from both Nucleon and Delta intermediate states. The dispersive analysis avoids off-shell…

Nuclear Theory · Physics 2017-06-21 P. G. Blunden , W. Melnitchouk

We consider potential scattering theory of a nonrelativistic quantum mechanical 2-particle system in R^2 with anyon statistics. Sufficient conditions are given which guarantee the existence of wave operators and the unitarity of the…

Quantum Physics · Physics 2015-06-26 C. Korff , G. Lang , R. Schrader

We investigate the isotopes of Se, Zr, Mo and Nd in the regions with N = 40, 60 and 90, where a first-order shape / phase transition, from spherical to deformed, can be observed. The signs of phase transitional behavior become evident by…

Within the framework of the Glauber diffraction theory, the differential cross sections of the elastic p6He, p8Li, and p9Li scattering were calculated at intermediate energies from 70 to 1000 MeV/nucleon. The use of realistic three-body…

Nuclear Theory · Physics 2015-06-15 E. T. Ibraeva , A. V. Dzhazairov-Kahramanov , O. Imambekov

Point-form relativistic quantum mechanics is applied to elastic electron-deuteron scattering. The deuteron is modeled using relativistic interactions that are scattering-equivalent to the nonrelativistic Argonne $v_{18}$ and Reid '93…

Nuclear Theory · Physics 2011-07-19 T. W. Allen , W. H. Klink , W. N. Polyzou

We calculate the nucleon resonance contributions to nucleon Compton scattering, including all states with J^P = 1/2^{+-} and J^P = 3/2^{+-} where experimental data for their electromagnetic transition form factors exist. To this end, we…

High Energy Physics - Phenomenology · Physics 2018-12-05 Gernot Eichmann , G. Ramalho

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

The J-matrix method of scattering is used to obtain analytic expressions for the phase shift of two classes of relativistic exponential-type separable potentials whose radial component is either of the general form r^(n-1)exp(-r) or…

Mathematical Physics · Physics 2009-11-07 A. D. Alhaidari

The problem of electron-proton scattering is handed over both the elastic and inelastic scattering. Two models are presented in this sense. The first, depends on the multi photon exchange ladder diagram, where the transition matrix is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. T. Hussein , R. Elmualed , N. M. Hassan

The energy spectra of two nucleons in a cubic volume provide access to the two phase shifts and one mixing angle that define the S-matrix in the 3S1-3D1 coupled channels containing the deuteron. With the aid of recently derived energy…

High Energy Physics - Lattice · Physics 2013-12-16 Raul A. Briceno , Zohreh Davoudi , Thomas Luu , Martin J. Savage