Transverse electron scattering response function of ${}^3$He with $\Delta$-isobar degrees of freedom

Abstract

A calculation of the ${}^3$He transverse $(e,e^{\prime })$ inclusive response function, $R_T$, which includes $\Delta$ degrees of freedom is performed using the Lorentz integral transform method. The resulting coupled equations are treated in impulse approximation, where the $NNN$ and $NN\Delta$ channels are solved separately. As NN and NNN potentials we use the Argonne V18 and UrbanaIX models respectively. Electromagnetic currents include the $\Delta$-isobar currents, one-body N-currents with relativistic corrections and two-body currents consistent with the Argonne V18 potential. $R_T$ is calculated for the breakup threshold region at momentum transfers near 900 MeV/c. Our results are similar to those of Deltuva {\it et al.} in that large $\Delta$-isobar current contributions are found. However we find that these are largely canceled by the relativistic contribution from the one-body N-currents. Finally a comparison is made between theoretical results and experimental data.

21 pages,4 figures, a replacement of arXiv:1006.3499v1, additional calculations at different kinematics

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Cited by in corpus (3)

• Relativistic effects in ab-initio electron-nucleus scattering
• Transverse electron scattering response function of 3He in the quasi-elastic peak region and beyond with Delta isobar degrees of freedom
• Signatures of the $\Delta$ isobar in spin observables of ${}^3\mathrm{He}$ electrodisintegration