Ground-State Magnetization for Interacting Fermions in a Disordered Potential : Kinetic Energy, Exchange Interaction and Off-Diagonal Fluctuations

We study a model of interacting fermions in a disordered potential, which is assumed to generate uniformly fluctuating interaction matrix elements. We show that the ground state magnetization is systematically decreased by off-diagonal fluctuations of the interaction matrix elements. This effect is neglected in the Stoner picture of itinerant ferromagnetism in which the ground-state magnetization is simply determined by the balance between ferromagnetic exchange and kinetic energy, and increasing the interaction strength always favors ferromagnetism. The physical origin of the demagnetizing effect of interaction fluctuations is the larger number of final states available for interaction-induced scattering in the lower spin sectors of the Hilbert space. We analyze the energetic role played by these fluctuations in the limits of small and large interaction $U$. In the small $U$ limit we do second-order perturbation theory and identify explicitly transitions which are allowed for minimal spin and forbidden for higher spin. These transitions then on average lower the energy of the minimal spin ground state with respect to higher spin. For large interactions $U$ we amplify on our earlier work [Ph. Jacquod and A.D. Stone, Phys. Rev. Lett. 84, 3938 (2000)] which showed that minimal spin is favored due to a larger broadening of the many-body density of states in the low-spin sectors. Numerical results are presented in both limits.Comment: 35 pages, 24 figures - final, shortened version, to appear in Physical Review

Decay history and magnetic moments at high spin in Dy152

Average magnetic moments as well as information on the time evolution of the continuum structure of Dy152 at high spin have been obtained using the transient hyperfine magnetic field acting on fast ions traversing a thin, magnetized gadolinium foil. Dy152 nuclei were populated by the Ge76(80Se,4n)152Dy fusion-evaporation reaction at E(80Se)=326.5 MeV. The target-ferromagnet arrangement corresponds to a time window of about 701200 keV, rays contributing to the collective E2 bump, exhibit a negligible precession, in accordance with the very short lifetimes of these states. The precession of the angular distribution of discrete yrast rays deexciting the nucleus from spin I35Latin small letter h with stroke down yields an average magnetic moment for states with 43Latin small letter h with strokeI31Latin small letter h with stroke. The resulting g=0.21(2) is considerably lower than the collective value Z/A0.43 and indicates an appreciable contribution from aligned neutrons to the lower-spin region populated within the above time frame. The results are discussed in the framework of model calculations of the -ray cascade

Observation of superdeformation in Hg191

The first observation of superdeformation in the mass region A190 is reported. A rotational band of twelve transitions with an average energy spacing of 37 keV, an average moment of inertia scrF(2) of 110 Latin small letter h with stroke2 MeV-1, and an average quadrupole moment of 183 e b has been observed in Hg191; this band persists at low rotational frequency. These results are in excellent agreement with a calculation that predicts an ellipsoidal axis ratio of 1.65:1 for the superdeformed shape in this nucleus

New neutron-rich nuclei Zr103,104 and the A100 region of deformation

Partial decay schemes in the neutron-rich nuclei Zr103 and Zr104 have been measured for the first time and rotational bands in Zr100 102 have been extended to spins of up to 10Latin small letter h with stroke by observing prompt rays from the spontaneous fisson of Cm248. These nuclei are among the most deformed known at low spin and excitation energy. The level structures in the odd-A nuclei show that the h11/2 intruder orbital plays an important role in stabilizing the deformation in this region

Nucleon alignment in 191Hg. A competing mechanism at moderate spins

Detailed spectroscopic studies of the discrete γ-rays feeding and deexciting a 41 2-, 4.6 MeV level in 191Hg are reported. The resulting decay scheme indicates single-particle nature for the states above the 41 2- level. At moderate spin, the corresponding particle alignment mode competes favorably with collective oblate rotation. It is suggested that this sequence is associated with a non-collective prolate shape (ε{lunate}=0.1-0.15, γ≅-120°)

Feeding of superdeformed bands: The mechanism and constraints on band energies and the well depth

Entry distributions leading to normal and superdeformed (SD) states in Hg192 have been measured. A model, based on Monte Carlo simulations of γ cascades, successfully reproduces the entry distribution for SD states, as well as all other known observables connected with the population of SD states. Comparison of experimental and model results, together with the measured SD entry distribution, suggest that the SD band lies 3.3-4.3 MeV above the normal yrast line when it decays around spin 10 and that the SD well depth is 3.5-4.5 MeV at spin 40

Superdeformed band in Hg192

The observation of a superdeformed band in the nucleus Hg192 is reported. The band has sixteen transitions with an average energy spacing of 36 keV and an average dynamic moment of inertia scrI(2) of 112 Latin small letter h with stroke2 MeV-1. This band persists to rather low rotational frequency (Latin small letter h with stroke0.125 MeV) and is proposed to extend in spin from 10+ to 42+. No transitions linking the superdeformed states and the low deformation yrast levels were found and the decay out of the superdeformed band appears to be statistical. This is the second case of superdeformation in the 190 region

Selective population of states in fission fragments from the S32+24Mg reaction

The symmetric and near-symmetric mass fission yields from the S32+24Mg reaction have been studied in a particle-particle- coincidence measurement. Evidence is presented for a selective population of states in Si28 fragments arising from the symmetric fission of the Ni56 compound nucleus. A statistical-model calculation of the expected strength to specific mutual excitations of the fission fragments is presented and compared to the experimental results. This calculation is found to describe the structures observed at high excitation energy in the fission Q-value spectra quite well. Analysis of the -ray spectra indicates, however, that a specific set of states in Si28, corresponding to a highly deformed prolate band, is populated more strongly than expected based on a purely spin-weighted, statistical decay of the compound nucleus. It is suggested that the population pattern of states in the fission fragments may reflect nuclear structure effects at the point of scission

Gamma ray studies of neutron-rich sdf shell nuclei produced in heavy ion collisions

Reanalysis of ichproductsofbinaryreactio nsof$34S, S36, and Cl37 beams on Gd160 targets. Gates set on known amma$raysin$A∼160 products selected individual react ion channels and identified coincident amma$raysin$A∼36 partner products. Transfers of protons from projectile to target and of neutrons from target to projectile were generally favored, leading to excited neutron-rich light nuclei, including some difficult to reach by other means. Notable results include the observation of amma$raycascadesupthehigh e stknownyraststatesinfour$N=20 isotones. In two N=19 nuclei, Si33 and P34, the two N=22 nuclei, S38 and Cl39, previously unknown yrast states were identified

Excited superdeformed bands in 191Hg

Two weakly populated rotational bands have been observed in 191Hg with properties (energy spacings, moments of inertia and lifetimes) very similar to those of the previously reported superdeformed band. Based on cranked Woods-Saxon calculations, these structures are interpreted as the first excited bands in the superdeformed minimum of 191Hg. Comparisons between the data and the calculations highlight the role of specific orbitals at large deformations