Relativistic rank-one separable kernel for helium-3 charge form factor

Trinucleon form factors with relativistic multirankseparable kernels

“…The functions F 1,2 can be expressed in terms of the wave functions of the trinucleon which can be represented as linear combinations of the BSF equation solutions with different spin-isospin states [1,8].…”

“…In our previous work we performed the calculations for the rank-one interaction kernels [1,12]. There we also analyzed the influence of the type of nucleon form factors on the 3 He form factor [12].…”

“…Below we remind the general approximations and corrections (see detailed formulae in [1]). Since the solutions of the BSF equations have been obtained in the Euclidean space [13] and are known only for real values of q 4 and p 4 , the simplest way to calculate F 1,2 is to apply the Wick rotation procedure p 0 → ip 4 , q 0 → iq 4 , if it is possible.…”

“…In the previous article [1] we used the solutions of the Bethe-Salpeter-Faddeev equation (BSF) with the rank-one Yamaguchi and Tabakin separable kernels of the nucleon-nucleon (NN) interactions to calculate the 3 He charge form factor (F C ). Two approximations were considered: the static approximation (SA) and relativistic corrections (RC).…”

“…The article follows the ideas given in [1] where the rank-one kernels were applied. In contrast to it, in this work the calculations with the multirank relativistic separable kernels of NN interactions Graz-II and Paris have been performed.…”