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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

On the received coefficients of the analytical forms for deuteron wave function in coordinate representation in form r^(l+1)*exp(-A*r) for the modern realistic nucleon-nucleon potentials NijmI, NijmII, Nijm93, Reid93 and Argonne v18 are…

Nuclear Theory · Physics 2019-07-15 V. I. Zhaba

The deuteron wave function can be presented as the table through the respective massifs of numerically values of radial wave functions. In calculations such arrays of numbers in the texts of programs to operate quite difficult. Therefore a…

Nuclear Theory · Physics 2019-07-15 V. I. Zhaba

Numerically coefficients of the new analytical forms for deuteron wave function in coordinate space for NijmI, NijmII, Nijm93, Reid93 and Argonne v18 potentials are designed. The obtained wave functions do not contain superfluous knots. The…

Nuclear Theory · Physics 2016-08-24 V. I. Zhaba

The coefficients of new analytical forms for the deuteron wave function in coordinate space for NijmI, NijmII, Nijm93, Reid93 and Argonne v18 potentials have been numerically calculated. The obtained wave functions do not contain any…

Nuclear Theory · Physics 2016-03-17 V. I. Zhaba

The basic analytical forms of the deuteron wave function (DWF) in a coordinate representation have been reviewed. The asymptotic behaviour of DWF near the origin of coordinates has been analyzed. New analytical forms of DWF as a product of…

Nuclear Theory · Physics 2018-02-09 V. I. Zhaba

We calculate for the first time the static properties of the deuteron, within the framework of supersymmetric quantum mechanics, analytically. A new effective potential and its partner are derived from a superpotential so that all…

Nuclear Theory · Physics 2021-09-27 Taha Koohrokhi , Sehban Kartal

We present a convenient analytical parametrization of the deuteron wave function calculated within dispersion approach as a discrete superposition of Yukawa-type functions, in both configuration and momentum spaces.

Nuclear Theory · Physics 2009-11-11 A. F. Krutov , V. M. Muzafarov , V. E. Troitsky

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

A study of the deuteron structure in the framework of relativistic quantum mechanics is presented. Point-form (PF) relativistic quantum mechanics (RQM) is applied to the elastic eD scattering. The deuteron wave function and neutron form…

Nuclear Theory · Physics 2016-12-28 N. A. Khokhlov

The electromagnetic form factors and low-energy observables of deuteron are studied with the help of the light-front approach, where the deuteron is regarded as a weekly bound state of a proton and a neutron. Both the $S-$ and $D-$wave…

High Energy Physics - Phenomenology · Physics 2017-08-15 Bao-dong Sun , Yu-bing Dong

A recently developed helicity basis for nucleon-nucleon (NN) scattering is applied to th e deuteron bound state. Here the total spin of the deuteron is treated in such a helicity representation. For the bound state, two sets of two coupled…

Nuclear Theory · Physics 2009-11-07 I. Fachruddin , Ch. Elster , W. Gloeckle

Elastic lepton-deuteron scattering was considered within the limit of zero lepton mass. The deuteron wave function in the coordinate representation for the Reid93 potential was applied to numerical calculations. The angular-momentum…

Nuclear Theory · Physics 2020-01-29 V. I. Zhaba

The main features of obtaining the asymptotic behaviour of the electric structure function A(p) at large values of the transmitted momentum are analysed. The asymptotic behaviour of the structure function A(p) was determined to take into…

Nuclear Theory · Physics 2020-06-24 V. I. Zhaba

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

Non-local interactions are assumed for the deuteron with form factors $g_C(k)= j_0(b_1k)\,j_0(b_2k)$ for the central part responsible for the S-state and $g_T(k)= j_1(b_1k)\,j_1(b_2k)$ for the tensor part responsible for the D-state, where…

Mathematical Physics · Physics 2012-05-01 R. Mehrem

Leading order ($\alpha^4$) finite size corrections in muonic deuterium are evaluated within a few body formalism for the $\mu^- p n$ system in muonic deuterium and found to be sensitive to the input of the deuteron wave function. We show…

Nuclear Theory · Physics 2017-08-04 N. G. Kelkar , D. Bedoya Fierro

In this paper, we determine deuteron's static properties, low energy scattering parameters, total cross-section and form factors from inverse S-wave potentials constructed using Morse function. The scattering phase shifts (SPS) at different…

Nuclear Theory · Physics 2022-09-09 Anil Khachi , Lalit Kumar , M. R. Ganesh Kumar , O. S. K. S Sastri

A formula of the $D$-$D$ correlation function is derived. The deuterons are treated either as elementary particles or as neutron-proton bound states. In the first case the deuterons are directly emitted from a source and in the second one…

Nuclear Theory · Physics 2021-09-01 Stanislaw Mrowczynski , Patrycja Slon

The fragmentation of deuterons into pions with nonzero angle emitted in the kinematical region forbidden for free nucleon-nucleon collisions is analyzed. The inclusive relativistic invariant spectrum of pions and the tensor analyzing power…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Yu. Illarionov , A. G. Litvinenko , G. I. Lykasov
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