{ "id": "nucl-th/9604001", "version": "v1", "published": "1996-04-02T07:50:37.000Z", "updated": "1996-04-02T07:50:37.000Z", "title": "Angular and energy dependence of $(e,e^{\\prime})$ cross sections for orbital 1$^+$ excitations", "authors": [ "R. Nojarov", "Amand Faessler", "M. Dingfelder" ], "comment": "Latex, 28 pages, 12 postscript figures included using uufiles", "journal": "Nucl. Phys. A 598 (1996) 82", "doi": "10.1016/0375-9474(95)00499-8", "categories": [ "nucl-th" ], "abstract": "The main features of the $(e,e^{\\prime})$ cross sections of low-lying orbital excitations with $K^{\\pi} = 1^+$ in heavy deformed nuclei are studied in RPA on the example of $^{156}$Gd. The dependence of the DWBA E2 and M1 cross sections on the scattering angle $0^{\\circ} < \\theta < 180 ^{\\circ}$ and incident electron energy $E_i < 210$ MeV is analyzed in PWBA. The cross section is larger for M1 than for E2 transitions at any angle if $E_i < 30$ MeV. The longitudinal (Coulomb) C2 excitation dominates the E2 response for $5^{\\circ} < \\theta < 170 ^{\\circ}$. Only transverse M1 and E2 excitations compete for $\\theta > 175 ^{\\circ}$ and the former one is dominant for $q < 1.2$ fm$^{-1}$. The M1 response is almost purely orbital up to $q = 1.4$ fm$^{-1}$ even in backward scattering. Qualitative PWBA estimates based on the $q$-dependence of the form factors alone are not able to predict some important features of the $(e,e^{\\prime})$ cross sections stemming from the strong magnetic and orbital character of the studied 1$^+$ excitations. The expectation for M1 over E2 dominance in backward scattering should not be extended to higher momentum transfers and incident energies.", "revisions": [ { "version": "v1", "updated": "1996-04-02T07:50:37.000Z" } ], "analyses": { "keywords": [ "energy dependence", "incident electron energy", "e2 excitations compete", "higher momentum transfers", "c2 excitation dominates" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. A" }, "note": { "typesetting": "LaTeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable", "inspire": 417310 } } }