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S. A. Yurev , S. G. Bondarenko , V. V. Burov Joint Institute for Nuclear Research

Investigating the influence of P and D states on triton's binding energy and form factors using the relativistic Faddeev equation. The study involves solving integral equations, calculating amplitudes, and analyzing charge and magnetic form factors of 3He and 3H.

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S. A. Yurev , S. G. Bondarenko , V. V. Burov Joint Institute for Nuclear Research

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  1. The relativistic contribution of states with a nonzero orbital angular momentum to the binding energy and the form factors of the triton. S. A. Yurev,S. G. Bondarenko, V. V. Burov Joint Institute for Nuclear Research Laboratory of Theoretical Physics Petersburg Nuclear Physics Institute Gatchina 10.08.2018

  2. object Three-nucleonbound states systems: 3He(ppn) T(3H)(nnp) goal The study of these systems at relativistic energies The study of the influence of P and D states on the binding energy and form factors

  3. method of research nonrelativistic case relativistic case 2 particles Lippmann-Schwinger equation Bethe-Salpeter equation 3 particles Relativistic Faddeev equation Faddeev equation Bethe-Salpeter-Faddeev

  4. Method Relativistic Faddeev equation Two-particle t-matrix Components of the full three-particle t matrixT = T1 + T2 + T3 Two-particle propagator

  5. The Bethe-Salpeter equation Equation for the relativistic system of two particles Two-particle t-matrix Potential of NN interaction Two-particle propagator

  6. Separable potential of nucleon-nucleon interaction Yamaguchifunctions for form factor of potential g - form factor of potential N - rank of potential S state P state D state

  7. Partial-wave decomposition где

  8. The system of integral equations for a three-body system Bethe-Salpeter-Faddeev equation afterpartial-wave decomposition

  9. The system of integral equations forФ a,b = 2S+1 LJ

  10. Spin-isospin structure of the system a = (S,I) (S,I) = {(1,0);(1,1);(0,1);(0,0)}

  11. The influence of the orbital angular momentum

  12. Iterative method for solving integral equations bound-state condition

  13. The binding energy of the triton T (nnp) in the case of the Yamaguchi potential Exp.:8.48 MeV

  14. 1S0 amplitude Imaginary part Real part

  15. 3S1 amplitude Imaginary part Real part

  16. 3D1 amplitude Imaginary part Real part

  17. 3P0 amplitude Imaginary part Real part

  18. 1P1 amplitude Imaginary part Real part

  19. 3P1 amplitude Imaginary part Real part

  20. Form factors of the three-nucleus nuclei electric and magnetic Form Factors of proton and neutron from amplitudes of states Ф(solution of BSF equation)

  21. Form factors of the three-nucleus nuclei

  22. Charge form factors of 3He

  23. Magnetic form factors of 3He

  24. Summary [T = 3H = (nnp)] and [3He = (npp)] were investigated. For this, a relativistic generalization of the Faddeev equation was applied. As a two-particle t matrix, we used the solution of the Bethe-Salpeter equation. The potential of NN interaction is taken in a separable form. The system of integral equations describing T was solved by the iterative method. The binding energy and the amplitudes of its S, P, and D states were calculated. Amplitudes used to calculation charge and magnetic formfactors of the three-nucleus nuclei.

  25. Goal: relativictic, l ≠0 Method: relativictic Faddeev equation Object: H-3, He-3 Bethe-Salpeter equation Partial wave decomposition Account spin-isospin structure Account angulat momentum Separabel potential Integral equation for amplitudes of states Solution by iteration method Amplitudes Form factors of He-3 and H-3 Bound state energy Comparison with NR case Contribution P and D states

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