Deformation Parameters ofSm152by Electron Scattering

Abstract

We have measured the cross sections for excitation of the ground-state rotational band in *^^Sm by high-energy electrons. The ground-state charge distribution has been determined including the deformation parameters j Sg and /S^ of the nuclear surface.

Measurements ofE4 matrix elements in152Sm and154Sm

“…The results for the E4 matrix elements are about two-thirds (152Sm) and three-fourths (154Sm) of the values obtained by Stephens et al [1] and in relatively good agreement with the results of direct measurements of the differential Coulomb excitation cross sections following bombardment with 12 MeV e-particles, very recently done by Erb et al [14], and with the electron scattering experiment of Bertozzi et al [15]. Assuming a nuclear radius Ro = 1.2 A ~/3 fm we obtain a/74 in 152Sm of 0.058_o+~176 and in lS4Sm v.~,,--on m~+o.o26.o35.…”

“…2 [2] etal. [15] etaL [17] Shaw [19] etal. [20] + in 8 also includes a contribution from the uncertainty in the relative B(E2) values from the 4 + ~ 2 + and 2 + ~ 0 + transitions.…”

Electron Scattering and Photonuclear Reactions at the MIT Bates Linac

“…Electron scattering is clearly an ideal tool for this kind of nuclear microscopy, and some work along these lines has been published for the case of 152Sm (Bertozzi et al 1972). In this case, measurements of the cross section for scattering from the 0+, 2 + and 4 + members of the ground state rotational band could be resolved, and a good fit was achieved by assuming that the charge density for the intrinsic state could be described well by a deformed Fermi distribution:…”

Eikonal expansion in electron scattering

“…Further simplification arises from the symmetry relations obeyed by the eikonal phases, Consider the (l, m)-th term in the multipole expansion of the Coulomb potential Eqs. (11), (12). We obtain for the corresponding term of the eikonal phase (denoted by 21 m) (i) from parity: 2Zm vanishes if l--m is odd (ii) from time reversal: 21m is multiplied by (_)s'+s+; if M and M' change sign.…”

“…With the arrival of high-resolution spectrometers it has become possible to measure cross sections for the electro excitation of rotational levels in deformed nuclei [12]. Due to the very low excitation energy -e.g.…”