dorsal/arxiv
View SchemaAngular and energy dependence of $(e,e^{\prime})$ cross sections for orbital 1$^+$ excitations
| Authors | R. Nojarov, Amand Faessler, M. Dingfelder |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9604001 |
| URL | https://arxiv.org/abs/nucl-th/9604001 |
| DOI | 10.1016/0375-9474(95)00499-8 |
| Journal | Nucl. Phys. A 598 (1996) 82 |
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.
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"abstract": "The main features of the $(e,e^{\\prime})$ cross sections of low-lying orbital\nexcitations with $K^{\\pi} = 1^+$ in heavy deformed nuclei are studied in RPA on\nthe example of $^{156}$Gd. The dependence of the DWBA E2 and M1 cross sections\non the scattering angle $0^{\\circ} \u003c \\theta \u003c 180 ^{\\circ}$ and incident\nelectron energy $E_i \u003c 210$ MeV is analyzed in PWBA. The cross section is\nlarger for M1 than for E2 transitions at any angle if $E_i \u003c 30$ MeV. The\nlongitudinal (Coulomb) C2 excitation dominates the E2 response for $5^{\\circ} \u003c\n\\theta \u003c 170 ^{\\circ}$. Only transverse M1 and E2 excitations compete for\n$\\theta \u003e 175 ^{\\circ}$ and the former one is dominant for $q \u003c 1.2$ fm$^{-1}$.\nThe M1 response is almost purely orbital up to $q = 1.4$ fm$^{-1}$ even in\nbackward scattering. Qualitative PWBA estimates based on the $q$-dependence of\nthe form factors alone are not able to predict some important features of the\n$(e,e^{\\prime})$ cross sections stemming from the strong magnetic and orbital\ncharacter of the studied 1$^+$ excitations. The expectation for M1 over E2\ndominance in backward scattering should not be extended to higher momentum\ntransfers and incident energies.",
"arxiv_id": "nucl-th/9604001",
"authors": [
"R. Nojarov",
"Amand Faessler",
"M. Dingfelder"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0375-9474(95)00499-8",
"journal_ref": "Nucl. Phys. A 598 (1996) 82",
"title": "Angular and energy dependence of $(e,e^{\\prime})$ cross sections for orbital 1$^+$ excitations",
"url": "https://arxiv.org/abs/nucl-th/9604001"
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