dorsal/arxiv
View SchemaStudy of 3he(e,e') Longitudinal Response Functions with the Integral-Transform Method
| Authors | V. Yu. Dobretsov, V. D. Efros, Bin Shao |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9409005 |
| URL | https://arxiv.org/abs/nucl-th/9409005 |
| Journal | Phys.Atom.Nucl. 58 (1995) 1509-1513; Yad.Fiz. 58N9 (1995) 1601-1605 |
Abstract
The method of integral transforms is first applied for studying the $^3$He longitudinal response functions. The transforms are calculated from localized bound-state-type solutions to an inhomogenous Schr\"odinger-type three-body equation. Several versions of local $s$-wave spin-dependent potentials supplemented with a singlet $p$-wave potential and with the proton-proton Coulomb interaction are used as a two-nucleon input. The conventional charge density operator is utilized. The three-body 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 low-energy $NN$ 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.
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"abstract": "The method of integral transforms is first applied for studying the $^3$He\nlongitudinal response functions. The transforms are calculated from localized\nbound-state-type solutions to an inhomogenous Schr\\\"odinger-type three-body\nequation. Several versions of local $s$-wave spin-dependent potentials\nsupplemented with a singlet $p$-wave potential and with the proton-proton\nCoulomb interaction are used as a two-nucleon input. The conventional charge\ndensity operator is utilized. The three-body equations are solved with a high\nacuracy. It is found that the contribution of the $T=3/2$ final states to the\nproblem is suppressed and it amounts about 15\\%. This might be ascribed to\nsymmetry requirements. The contributions of the $p$-wave $NN$ interaction and\nof the Coulomb interaction are found to amount several per cent. Uncertainty\ndue to different choices of $s$-wave $NN$ forces is of a similar magnitude\nprovided that the low-energy $NN$ data are properly described. The results are\ncompared with the integral transforms of the experimental response functions.\nFor $q=300$ MeV/c experimental and theoretical results coincide within their\nuncertainties. For $q=500$ MeV/c a noticeable difference is detected.",
"arxiv_id": "nucl-th/9409005",
"authors": [
"V. Yu. Dobretsov",
"V. D. Efros",
"Bin Shao"
],
"categories": [
"nucl-th"
],
"journal_ref": "Phys.Atom.Nucl. 58 (1995) 1509-1513; Yad.Fiz. 58N9 (1995)\n 1601-1605",
"title": "Study of 3he(e,e\u0027) Longitudinal Response Functions with the Integral-Transform Method",
"url": "https://arxiv.org/abs/nucl-th/9409005"
},
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