Calculation of moments of inertia and gyromagnetic ratios including residual p-h and p-p interaction

Meyer, John‐Jules Ch.; Speth, J.; Vogeler, Johannes-Heinrich

doi:10.1016/0375-9474(72)90235-7

Cited by 20 publications

(4 citation statements)

References 10 publications

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“…Since the electron density in tungsten is smaller than in tantalum at the nuclear site of W one must conclude that the nuclear radius for ~82W decreases when the nucleus is excited to the first 2+ level whereas for 18~ a positive change in the mean squared radius is observed. This result does not confirm microscopic calculations of Meyer and Speth [17] which show the opposite trend in A (r 2) for these isotopes.…”

Section: Discussioncontrasting

confidence: 77%

Theg-factor of the 2+ state of180W and quadrupole moment ratios observed for180W and180Hf by the M�ssbauer technique

1973

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By M6ssbauer absorption experiments the magnetic hyperfine splitting has been observed for the 2+ states of as~ and aszW in a tungsten iron alloy (3.6 at %W). Since theg-factor of the 2+ state of 182W is known the measured splitting of the ls2w line could be used for the calibration of the magnetic hyperfine field and the measurement with ls~ gave then for the unknown g2+-factor of 18~ g2+ (18~ = 0.260-+ 0.017.By use of a we 3 absorber the electric quadrupole splittings in the same states were measured. The ratio of the quadrupole moments was derived Q2 + (18~ Q2+ (182W) =0.983 + 0.022. This ratio is somewhat smaller, but more accurate than the weighted means of previous results and in disagreement with the theoretical prediction.A similar measurement with 178Hf and aS~ and a HfO 2 absorber gave a2 + (178Hf) Q2 + (ls~ -1.052 _+ 0.021.This result is larger than the average of previous measurements and agrees with theory. The isomer shifts of the M6ssbauer lines of 18~ and lszW were measured for sources in a tantalum metal environment and for absorbers of metallic tungsten. Different signs were observed which indicate that the mean squared charge radius of the 2+ state of 182W is larger than that of the ground state whereas for 18~ the ground state has the larger -vahie.

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Section: Discussioncontrasting

confidence: 77%

Theg-factor of the 2+ state of180W and quadrupole moment ratios observed for180W and180Hf by the M�ssbauer technique

1973

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“…In addition, they require the inversion of the RPA-matrix. Meyer-ter-Vehn et al [22] have carried out such calculations in a restricted configuration space replacing the self-consistent mean field in an approximate way by the Woods-Saxon potential. As residual interaction they used density dependent Migdal forces F ω in the ph-channel and F ξ in the pp-channel.…”

Section: Introductionmentioning

confidence: 99%

Moments of inertia of nuclei in the rare earth region: A relativistic versus nonrelativistic investigation

et al. 2000

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A parameter free investigation of the moments of inertia of ground state rotational bands in well deformed rare-earth nuclei is carried out using Cranked Relativistic Hartree-Bogoliubov (CRHB) and non-relativistic Cranked Hartree-Fock-Bogoliubov (CHFB) theories. In CRHB theory, the relativistic fields are determined by the non-linear Lagrangian with the NL1 force and the pairing interaction by the central part of finite range Gogny D1Sforce. In CHFB theory, the properties in particle-hole and particle-particle channels are defined solely by Gogny D1S forces. Using an approximate particle number projection before variation by means of the Lipkin Nogami method improves the agreement with the experimental data, especially in CRHB theory. The effect of the particle number projection on the moments of inertia and pairing energies is larger in relativistic than in non-relativistic theory.PACS numbers: 21.60.Jz, 27.70.+q Keywords: Relativistic and non-relativistic mean field theories, approximate particle number projection, moments of inertia, pairing energies, charge quadrupole moments.Typeset using REVT E X * on leave of absence from the

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“…It is obvious that the change of the radius is zero in linear response. This equation has been previously derived by Migdal [35] and Birbrair [36] and has been used to calculate moments of inertia and gyromagnetic ratios [37]. The equation for the change of the density in second order ρ (2) has the same structure as Eq.…”

Section: Second Order Response Theorymentioning

confidence: 99%

Migdal and his theory in Jülich

2011

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Calculation of moments of inertia and gyromagnetic ratios including residual p-h and p-p interaction

Cited by 20 publications

References 10 publications

Theg-factor of the 2+ state of180W and quadrupole moment ratios observed for180W and180Hf by the M�ssbauer technique

Theg-factor of the 2+ state of180W and quadrupole moment ratios observed for180W and180Hf by the M�ssbauer technique

Moments of inertia of nuclei in the rare earth region: A relativistic versus nonrelativistic investigation

Migdal and his theory in Jülich

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