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A recently developed formulation for treating two- and three-nucleon bound states in a three-dimensional formulation based on spin-momentum operators is extended to nucleon-nucleon scattering. Here the nucleon-nucleon t-matrix is…

The recently developed chiral nucleon-nucleon ($NN$) potential by Epelbaum \emph{et al.} has been employed to study the two-nucleon bound and scattering states. Chiral $NN$ potential up to next-to-next-to-next-to leading order (N$^3$LO) is…

Nuclear Theory · Physics 2009-06-30 S. Bayegan , M. A. Shalchi , M. R. Hadizadeh

We consider the effects of the deuteron spin rotation and oscillations at the matter which is proportional to the real part of the deuteron spin-dependent forward scattering amplitude. That gives a possibility of a direct measurement of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. G. Baryshevsky , K. G. Batrakov , S. L. Cherkas

The nucleon-nucleon (NN) t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. To facilitate this a formalism is developed for solving the two-nucleon Lippmann-Schwinger equation in…

Nuclear Theory · Physics 2009-11-06 I. Fachruddin , Ch. Elster , W. Glöckle

The deuteron-proton elastic scattering has been studied in the multiple scattering expansion formalism. The essential attention has been given to such relativistic problem as a deuteron wave function in a moving frame and transformation of…

Nuclear Theory · Physics 2009-01-26 N. B. Ladygina

Elastic ed scattering, with deuteron polarization, up to high momentum transfer provides detailed information on the deuteron wave function. This determines the range dependence of the orbital and spin components of the one- and two-body…

Nuclear Theory · Physics 2007-05-23 E. Lomon

The matrix elements of relativistic nucleon-nucleon $(NN)$ potentials are calculated directly from the nonrelativistic potentials as a function of relative $NN$ momentum vectors, without using a partial wave decomposition. To this aim, the…

Nuclear Theory · Physics 2021-09-08 M. R. Hadizadeh , M. Radin , F. Nazari

The helicity dependence of the inclusive $\pi^-$ photoproduction reaction from the deuteron in the $\Delta$(1232)-resonance region is investigated with inclusion of final-state nucleon-nucleon rescattering ($NN$-FSI). For the elementary…

Nuclear Theory · Physics 2009-11-11 Eed M. Darwish

General analytical expressions for the observables in $dA$-scattering reaction have been derived in the diffraction approximation. The resulting formulas describe the cross section and polarization states of the deuteron when it scattering…

Nuclear Theory · Physics 2024-02-29 Valery I. Kovalchuk

Polarized Compton scattering on the deuteron is studied in nuclear effective field theory. A set of tensor structures is introduced to define 12 independent Compton amplitudes. The scalar and vector amplitudes are calculated up to ${\cal…

Nuclear Theory · Physics 2009-11-10 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li

We extend a new treatment proposed for two-nucleon (2N) and three-nucleon (3N) bound states to 2N scattering. This technique takes momentum vectors as variables, thus, avoiding partial wave decomposition, and handles spin operators…

Nuclear Theory · Physics 2010-05-17 I. Fachruddin , Ch. Elster , J. Golak , R. Skibinski , W. Gloeckle , H. Witala

Minimization of the number of numerically calculated coefficients for new analytical forms as a product of exponential function r1 by the sum of the exponential terms Ai*exp(-ai*r2) have been done. The optimum is N=10. Calculations have…

Nuclear Theory · Physics 2017-10-26 V. I. Zhaba

Extended calculations of the deuteron's static properties, based on the numerical solution of the Bethe-Salpeter equation, are presented. A formalism is developed, which provides a comparative analysis of the covariant amplitudes in various…

Nuclear Theory · Physics 2008-11-26 L. P. Kaptari , A. Yu. Umnikov , S. G. Bondarenko , K. Yu. Kazakov , F. C. Khanna , B. Kaempfer

We discuss the relation between the two nucleon Bethe-Salpeter amplitude and the light front wave functions. Both approaches provide a covariant description for the deuteron bound state and the two nucleon scattering state. A comparison is…

Nuclear Theory · Physics 2011-07-19 S. G. Bondarenko , V. V. Burov , M. Beyer , S. M. Dorkin

The spin-dependent structure function of the deuteron, g_1D, is calculated within a covariant framework. The off-shell structure of the bound nucleon gives corrections to the convolution model at a level of half a percent for x below 0.7,…

High Energy Physics - Phenomenology · Physics 2016-09-01 W. Melnitchouk , G. Piller , A. W. Thomas

The deuteron is considered as a superposition of two-nucleon Fock states with the invariant mass depending on the relative momentum in a proton-neutron pair. The condition of the transversality of the polarization vectors should be imposed…

High Energy Physics - Phenomenology · Physics 2015-06-05 Fedor Pavlov

The nuclear effects in the spin-dependent structure functions $g_1^D$ and $b_2^D$ are calculated in the relativistic approach based on the Bethe-Salpeter equation with a realistic meson-exchange potential. The results of calculations are…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Yu. Umnikov , L. P. Kaptari , K. Yu. Kazakov , F. C. Khanna

We derive relations between spin-dependent nuclear and nucleon g_1 and g_2 structure functions within the nuclear impulse approximation, which are valid at all Q^2, and in both the resonance and deep inelastic regions. We apply the…

Nuclear Theory · Physics 2008-11-26 S. A. Kulagin , W. Melnitchouk

Static parameters of the deuteron, obtained by the wave functions for various potential models, have been chronologically systematized. The presence or absence of knots near the origin of coordinates for the radial wave function of the…

Nuclear Theory · Physics 2017-06-27 V. I. Zhaba

We present recent results on elastic deuteron Compton scattering calculations for polarised beans and targets up to next-to-leading order within Chiral Effective Field Theory in the Small Scale Expansion variant to implement a dynamical…

Nuclear Theory · Physics 2014-11-20 Harald W. Griesshammer , Deepshikha Shukla
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