Study of ^{3}He(e,e') longitudinal response functions with the integraltransform method
Abstract
The method of integral transforms is first applied for studying the $^3$He longitudinal response functions. The transforms are calculated from localized boundstatetype solutions to an inhomogenous Schrödingertype threebody equation. Several versions of local $s$wave spindependent potentials supplemented with a singlet $p$wave potential and with the protonproton Coulomb interaction are used as a twonucleon input. The conventional charge density operator is utilized. The threebody equations are solved with a high acuracy. It is found that the contribution of the $T=3/2$ final states to the problem is suppressed and it amounts about 15\%. This might be ascribed to symmetry requirements. The contributions of the $p$wave $NN$ interaction and of the Coulomb interaction are found to amount several per cent. Uncertainty due to different choices of $s$wave $NN$ forces is of a similar magnitude provided that the lowenergy $NN$ data are properly described. The results are compared with the integral transforms of the experimental response functions. For $q=300$ MeV/c experimental and theoretical results coincide within their uncertainties. For $q=500$ MeV/c a noticeable difference is detected.
 Publication:

Physics of Atomic Nuclei
 Pub Date:
 September 1995
 DOI:
 10.48550/arXiv.nuclth/9409005
 arXiv:
 arXiv:nuclth/9409005
 Bibcode:
 1995PAN....58.1509D
 Keywords:

 Nuclear Theory
 EPrint:
 11 pages, 3 figures available on request, LATEX, Submitted to Yad. Fiz. [Phys. At. Nucl.]