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In this article an efficient method to calculate the matrix elements of three-nucleon force is presented. The new method is improved version of partial-wave decomposition presented in Few-Body Syst. 22 (1997) 107, which simplifies…

Nuclear Theory · Physics 2015-05-13 Rimantas Lazauskas

We demonstrate that the partial wave decomposition of three-nucleon forces used up to now in momentum space has to be necessarily unstable at high partial waves. This does not affect the applications performed up to now, which were…

Nuclear Theory · Physics 2016-08-15 D. Hüber , H. Witała , A. Nogga , W. Glöckle , H. Kamada

We formulate a general and exact method of partial wave decomposition (PWD) of any nucleon-nucleon (NN) potential and any three-nucleon (3N) force. The approach allows one to efficiently use symbolic algebra software to generate the…

A method to calculate the bound states of three-atoms without resorting to an explicit partial wave decomposition is presented. The differential form of the Faddeev equations in the total angular momentum representation is used for this…

Computational Physics · Physics 2007-05-23 V. A. Roudnev , S. L. Yakovlev , S. A. Sofianos

Different momentum space Faddeev-like equations and their solutions for the radiative pd-capture and the three-nucleon photodisintegration of 3He are presented. Applications are based on the AV18 nucleon-nucleon and the Urbana IX three…

Nuclear Theory · Physics 2009-11-10 R. Skibinski , J. Golak , H. Witala , W. Glockle , A. Nogga

Different models for conserved two- and three-body electromagnetic currents are constructed from two- and three-nucleon interactions, using either meson-exchange mechanisms or minimal substitution in the momentum dependence of these…

Nuclear Theory · Physics 2014-11-18 L. E. Marcucci , M. Viviani , R. Schiavilla , A. Kievsky , S. Rosati

We present a microscopic calculation of the 6He beta-decay into the ground state of 6Li. To this end we use the impulse approximation to describe the nuclear weak current. The ground state wave functions are obtained from the solution of…

Nuclear Theory · Physics 2009-01-20 Doron Gazit , Sergey Vaintraub , Nir Barnea

The magnetic form factors of $^2$H, $^3$H, and $^3$He, deuteron photodisintegration cross sections at low energies, and deuteron threshold electrodisintegration cross sections at backward angles in a wide range of momentum transfers, are…

pd capture processes at various energies have been analyzed based on solutions of 3N-Faddeev equations and using modern NN forces. The application of the Siegert theorem is compared to the explicit use of $\pi$- and $\rho$-like exchange…

Nuclear Theory · Physics 2009-11-06 J. Golak , H. Kamada , H. Witała , W. Gloeckle , J. Kuroś , R. Skibiński , V. V. Kotlyar , K. Sagara , H. Akiyoshi

Quark-model descriptions of the nucleon-nucleon interaction contain two main ingredients, a quark-exchange mechanism for the short-range repulsion and meson-exchanges for the medium- and long-range parts of the interaction. We point out the…

Nuclear Theory · Physics 2009-11-06 D. Hadjimichef , J. Haidenbauer , G. Krein

Exchange current corrections are calculated using currents found from the hard-pion model and AV14+3BF wavefunctions. Results are given for the rate and spin observables. Their sensitivity to g_P, the nucleon pseudoscalar form factor, is…

Nuclear Theory · Physics 2008-11-26 J. G. Congleton , E. Truhlik

A recently developed procedure for a partial wave decomposition of a three-nucleon force is applied to the pi-pi, pi-rho and rho-rho components of the Tucson-Melbourne three-nucleon potential. The resulting matrix elements for the pi-pi and…

Nuclear Theory · Physics 2015-05-27 R. Skibinski , J. Golak , K. Topolnicki , H. Witala , H. Kamada , W. Glockle , A. Nogga

By means of a partial wave decomposition, we separate their contributions to the equation of state of symmetric nuclear matter for the N3LO pseudo-potential. In particular, we show that although both the tensor and the spin-orbit terms do…

Nuclear Theory · Physics 2014-12-08 D. Davesne , J. Meyer , A. Pastore , J. Navarro

Results gained for electron scattering on $^3$He in a nonrelativistic framework are reviewed. The electromagnetic current is truncated to a single nucleon operator, but the interaction among the three nucleons is treated exactly. Thus…

Nuclear Theory · Physics 2007-05-23 W. Gloeckle , H. Kamada , J. Golak , H. Witala , S. Ishikawa

In the 90s of the last century high statistics experiments with fully equipped 4$\pi$ detectors have lead to a better insight in the spectrum of hadrons. In particular the finding of crypto-exotic and $J^{PC}$ exotic states tremendously…

High Energy Physics - Phenomenology · Physics 2009-09-29 Klaus Peters

Two- and three- particles photodisintegration of the triton is investigated in a three-dimensional (3D) Faddeev approach. For this purpose the Jacobi momentum vectors for three particles system and spin-isospin quantum numbers of the…

Nuclear Theory · Physics 2012-02-21 M. A. Shalchi , S. Bayegan

The photon and 3He analyzing powers as well as spin correlation coefficients in the semiexclusive three-body photodisintegration of 3He are investigated for incoming photon laboratory energies E=12, 40 and 120 MeV. The nuclear states are…

Nuclear Theory · Physics 2009-11-11 R. Skibinski , J. Golak , H. Witala , W. Glockle , A. Nogga , H. Kamada

Starting from the axial heavy meson exchange currents, constructed earlier in conjunction with the Bethe--Salpeter equation, we first present the axial $\rho$--, $\omega$-- and $a_1$ meson exchange Feynman amplitudes that satisfy the…

Nuclear Theory · Physics 2009-11-07 B. Mosconi , P. Ricci , E. Truhlik

Recent advances in the study of electrodisintegration of 3He are presented and discussed. The pair-correlated hyperspherical harmonics method is used to calculate the initial and final state wave functions, with a realistic Hamiltonian…

Nuclear Theory · Physics 2014-11-18 L. E. Marcucci , M. Viviani , R. Schiavilla , A. Kievsky , S. Rosati

Elastic electron-helium-3 scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system are obtained by solving the relativistic generalization of the Faddeev equations with a separable…

Nuclear Theory · Physics 2020-10-30 Serge Bondarenko , Valery Burov , Sergey Yurev
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