dorsal/arxiv
View SchemaSpin-Isospin Response Functions and the Effects of the $\Delta$-Hole Configurations in Finite Nuclei
| Authors | Kimiaki Nishida, Munetake Ichimura |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9410003 |
| URL | https://arxiv.org/abs/nucl-th/9410003 |
| DOI | 10.1103/PhysRevC.51.269 |
| Journal | Phys.Rev.C51:269-284,1995 |
Abstract
Effects of the delta-isobar $(\Delta)$ mixing on the spin-isospin response functions in finite nuclei are studied in the quasi-elastic region. A method to calculate the response function for a finite system composed of nucleon $(N)$ and $\Delta$ is formulated in a ring approximation. It is designed to treat the $\Delta$-related Landau-Migdal parameters, $g'_{N\Delta}$ and $g'_{\Delta\Delta}$, and the nucleon parameter $g'_{NN}$, independently, so that the universality ansatz, $g'_{NN}=g'_{N\Delta}=g'_{\Delta\Delta}$, is removed. We calculated the isovector spin-longitudinal and -transverse response functions, $R_{L}$ and $R_{T}$, with and without the $\Delta$-mixing. Inclusion of $\Delta$ enhances $R_{L}$ but reduces $R_{T}$ for ordinary interactions. Dependence of $R_{L,T}$ on $g'_{NN}$ and $g'_{N\Delta}$ is investigated. Decomposition into the process-decomposed response functions, $R^{[NN]}$, $R^{[N\Delta]}$ and $R^{[\Delta\Delta]}$, is very elucidative to see the $\Delta$ effects, which are found to be mainly governed by $R^{[N\Delta]}$ and sensitive to $g'_{N\Delta}$. The isovector spin-transverse response function $R^{(e,e')}_{T}$ obtained by $(e,e')$ is calculated by various effective interactions and compared to each other as well as experimental data.
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"abstract": "Effects of the delta-isobar $(\\Delta)$ mixing on the spin-isospin response\nfunctions in finite nuclei are studied in the quasi-elastic region. A method to\ncalculate the response function for a finite system composed of nucleon $(N)$\nand $\\Delta$ is formulated in a ring approximation. It is designed to treat the\n$\\Delta$-related Landau-Migdal parameters, $g\u0027_{N\\Delta}$ and\n$g\u0027_{\\Delta\\Delta}$, and the nucleon parameter $g\u0027_{NN}$, independently, so\nthat the universality ansatz, $g\u0027_{NN}=g\u0027_{N\\Delta}=g\u0027_{\\Delta\\Delta}$, is\nremoved. We calculated the isovector spin-longitudinal and -transverse response\nfunctions, $R_{L}$ and $R_{T}$, with and without the $\\Delta$-mixing. Inclusion\nof $\\Delta$ enhances $R_{L}$ but reduces $R_{T}$ for ordinary interactions.\nDependence of $R_{L,T}$ on $g\u0027_{NN}$ and $g\u0027_{N\\Delta}$ is investigated.\nDecomposition into the process-decomposed response functions, $R^{[NN]}$,\n$R^{[N\\Delta]}$ and $R^{[\\Delta\\Delta]}$, is very elucidative to see the\n$\\Delta$ effects, which are found to be mainly governed by $R^{[N\\Delta]}$ and\nsensitive to $g\u0027_{N\\Delta}$. The isovector spin-transverse response function\n$R^{(e,e\u0027)}_{T}$ obtained by $(e,e\u0027)$ is calculated by various effective\ninteractions and compared to each other as well as experimental data.",
"arxiv_id": "nucl-th/9410003",
"authors": [
"Kimiaki Nishida",
"Munetake Ichimura"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.51.269",
"journal_ref": "Phys.Rev.C51:269-284,1995",
"title": "Spin-Isospin Response Functions and the Effects of the $\\Delta$-Hole Configurations in Finite Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9410003"
},
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