{ "id": "nucl-th/9604003", "version": "v1", "published": "1996-04-02T21:30:19.000Z", "updated": "1996-04-02T21:30:19.000Z", "title": "Effects of the Spin-Orbit and Tensor Interactions on the $M1$ and $E2$ Excitations in Light Nuclei", "authors": [ "M. S. Fayache", "Y. Y. Sharon", "L. Zamick", "P. von Neumann-Cosel", "A. Richter" ], "comment": "39 pages, revtex 3.0", "doi": "10.1016/S0375-9474(97)00403-X", "categories": [ "nucl-th" ], "abstract": "The effects of varying the spin-orbit and tensor components of a realistic interaction on $M1$ excitation rates and $B(E2)'s$ are studied on nuclei in the $0p$ and $1s-0d$ shells. Not only the total $M1$ but also the spin and orbital parts separately are studied. The single-particle energies are first calculated with the same interaction that is used between the valence nucleons. Later this stringent condition is relaxed somewhat and the $1s$ level is raised relative to $0d$. For nuclei up to $^{28}Si$, much better results i.e stronger $B(M1)$ rates are obtained by increasing the strength of the spin-orbit interaction relative to the free value. This is probably also true for $^{32}S$, but $^{36}Ar$ presents some difficulties. The effects of weakening the tensor interaction are also studied. On a more subtle level, the optimum spin-orbit interaction in the lower half of the $s-d$ shell, as far as $M1$ excitations are concerned, is substantially larger than the difference $E(J=3/2^+)_1-E(J=5/2^+)_1=5.2~MeV$ in $^{17}O$. A larger spin-orbit splitting is also needed to destroy the triaxiality in $^{22}Ne$. Also studied are how much $M1$ orbital and spin strength lies in an observable region and how much is buried in the grass at higher energies. It is noted that for many nuclei the sum $B(M1)_{orbital}+B(M1)_{spin}$ is very close to $B(M1)_{total}$, indicating that the summed cross terms are very small.", "revisions": [ { "version": "v1", "updated": "1996-04-02T21:30:19.000Z" } ], "analyses": { "keywords": [ "tensor interaction", "light nuclei", "optimum spin-orbit interaction", "spin strength lies", "orbital parts" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. A" }, "note": { "typesetting": "RevTeX", "pages": 39, "language": "en", "license": "arXiv", "status": "editable", "inspire": 417308 } } }