Spin-Isospin Response Functions and the Effects of the $Δ$-Hole Configurations in Finite Nuclei

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dc.creatorNishida, Kimiaki
dc.creatorIchimura, Munetake
dc.date1994-10-04
dc.date.accessioned2026-07-07T11:15:14Z
dc.date.available2026-07-07T11:15:14Z
dc.descriptionEffects of the delta-isobar $(Δ)$ 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 $Δ$ is formulated in a ring approximation. It is designed to treat the $Δ$-related Landau-Migdal parameters, $g'_{NΔ}$ and $g'_{ΔΔ}$, and the nucleon parameter $g'_{NN}$, independently, so that the universality ansatz, $g'_{NN}=g'_{NΔ}=g'_{ΔΔ}$, is removed. We calculated the isovector spin-longitudinal and -transverse response functions, $R_{L}$ and $R_{T}$, with and without the $Δ$-mixing. Inclusion of $Δ$ enhances $R_{L}$ but reduces $R_{T}$ for ordinary interactions. Dependence of $R_{L,T}$ on $g'_{NN}$ and $g'_{NΔ}$ is investigated. Decomposition into the process-decomposed response functions, $R^{[NN]}$, $R^{[NΔ]}$ and $R^{[ΔΔ]}$, is very elucidative to see the $Δ$ effects, which are found to be mainly governed by $R^{[NΔ]}$ and sensitive to $g'_{NΔ}$. 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.
dc.description26 pages (LaTeX + RevTeX), 15 figures available via Fax upon request
dc.identifierhttps://arxiv.org/abs/nucl-th/9410003
dc.identifierhttp://arxiv.org/abs/nucl-th/9410003
dc.identifierPhys.Rev.C51:269-284,1995
dc.identifierdoi:10.1103/PhysRevC.51.269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192327
dc.subjectNuclear Theory
dc.titleSpin-Isospin Response Functions and the Effects of the $Δ$-Hole Configurations in Finite Nuclei
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