Abstract
The transverse electron scattering response function RT of 3 He is studied in the quasielastic peak region for momentum transfers between 500 and 700 MeV/c. The calculation is carried out in the active nucleon Breit frame. The response in the laboratory frame is then obtained via a transformation of RT from the active nucleon Breit frame to the laboratory frame. For the current operator one- and two-body parts are taken into account. The one-body current operator includes all leading order relativistic corrections. For the two-body part meson exchange currents consistent with the employed NN potential (Argonne V18) are taken. As three-nucleon force the Urbana IX model is used. In comparison with experiment one finds an excellent agreement of the peak positions. The peak height agrees well with experiment for the lowest considered momentum transfer (500 MeV/c), but tends to be too high for higher momentum transfer (10% at 700 MeV/c).
Highlights
The transverse quasielastic response function RT (q, ω) of nuclei is dominated by the one-body part of the nuclear current
On the other hand it was shown in [5] that a much better agreement of theory and experiment can be obtained by an improved consideration of relativistic effects due to a calculation of the response in the active nucleon Breit (ANB) frame
The response function RT (q, ω) is calculated using the Lorentz integral transform (LIT) method [6], i.e. an integral transform of RT (q, ω) with a Lorentzian kernel is evaluated at q =const:
Summary
The transverse quasielastic response function RT (q, ω) of nuclei is dominated by the one-body part of the nuclear current. This difference leads to the above mentioned mismatch of the theoretical and experimental quasielastic peak positions. This was nicely confirmed in [5], where RL(q, ω) was calculated for various different reference frames considering the full final state interaction but adopting the quasielastic picture for the treatment of the kinetic energy. It is important to note that only for the ANB frame relativistic and non-relativistic peak positions coincide This nice property of the ANB frame is due to the fact that ωANB is equal to zero at the quasielastic peak.
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