187 research outputs found

    Kerman-Klein-Donau-Frauendorf model for odd-odd nuclei: formal theory

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    The Kerman-Klein-Donau-Frauendorf (KKDF) model is a linearized version of the Kerman-Klein (equations of motion) formulation of the nuclear many-body problem. In practice, it is a generalization of the standard core-particle coupling model that, like the latter, provides a description of the spectroscopy of odd nuclei in terms of the properties of neighboring even nuclei and of single-particle properties, that are the input parameters of the model. A divers sample of recent applications attest to the usefulness of the model. In this paper, we first present a concise general review of the fundamental equations and properties of the KKDF model. We then derive a corresponding formalism for odd-odd nuclei that relates their properties to those of four neighboring even nuclei, all of which enter if one is to include both multipole and pairing forces. We treat these equations in two ways. In the first we make essential use of the solutions of the neighboring odd nucleus problem, as obtained by the KKDF method. In the second, we relate the properties of the odd-odd nuclei directly to those of the even nuclei. For both choices, we derive equations of motion, normalization conditions, and an expression for transition amplitudes. We also solve the problem of choosing the subspace of physical solutions that arises in an equations of motion approach that includes pairing interactions.Comment: 27 pages, Late

    New results for the missing quantum numbers labeling the quadrupole and octupole boson basis

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    The many 2k2^k-pole boson states, ∣NkvkαkIkMk>|N_kv_k\alpha_k I_kM_k> with k=2,3k=2,3, realize the irreducible representation (IR) for the group reduction chains SU(2k+1)⊃R2k+1⊃R3⊃R2SU(2k+1)\supset R_{2k+1}\supset R_3\supset R_2. They have been analytically studied and widely used for the description of nuclear systems. However, no analytical expression for the degeneracy dv(I)d_v(I) of the R2k+1R_{2k+1}'s IR, determined by the reduction R2k+1⊃R3R_{2k+1}\supset R_3, is available. Thus, the number of distinct values taken by αk\alpha_k has been so far obtained by solving some complex equations. Here we derive analytical expressions for the degeneracy dv(I)d_v(I) characterizing the octupole and quadrupole boson states, respectively. The merit of this work consists of the fact that it completes the analytical expressions for the 2k2^k-pole boson basis.Comment: 10page

    Rotations of nuclei with reflection asymmetry correlations

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    We propose a collective Hamiltonian which incorporates interactions capable to generate rotations in nuclei with simultaneous presence of octupole and quadrupole deformations. It is demonstrated that the model formalism could be applied to reproduce the staggering effects observed in nuclear octupole bands. On this basis we propose that the interactions involved would provide a relevant handle in the study of collective phenomena in nuclei and other quantum mechanical systems with reflection asymmetry correlations.Comment: LaTeX, 9 pages plus 3 figures given in separate .ps files. To appear in the proceedings of the International Conference on Nuclear Structure and Related Topics (Dubna, Russia, 6-10/6/2000), ed. R. Jolos, V. Voronov, et a

    Research ethics and security protocol

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    The SecDev Foundation, with the financial support of IDRC and in partnership with the IgarapĂ© Institute, is undertaking a study on cyberspace in Latin America entitled the Open Empowerment Initiative. In addition to the SecDev Foundation and IgarapĂ© Institute, the research will include five regional research partners. This paper contains: a brief project description of the Open Empowerment Initiative (OEI); an outline of the principles that underlie IDRC’s and the SecDev Foundation’s ethical standards of research; and a brief to guide researchers in adhering to these standards

    Healing and Foretelling Practices in Azerbaijan

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    On the Apsheron Peninsula of Azerbaijan, in particular in the so-called 'green belt', regarded by many as a stronghold of traditional Shi'i religiosity, including such small towns as Nardaran and Mashtaga near Baku, the concept of having the 'gift' (vorki) of healing and telling the future has remained part of popular belief. Vorki is obtained from S hi'i imams and other holy people by means of dreams

    Sherbrooke, son centre-ville Méthode de décodage des espaces publics

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    Le sujet de cette recherche concerne donc le centre-ville de Sherbrooke et ses espaces publics. Le travail de mise en Ă©vidence d'un maximum de dĂ©tails physiques et visuels caractĂ©ristiques de la qualitĂ© des diffĂ©rents espaces publics du centre-ville n'a jamais Ă©tĂ© entrepris. En fait, il n'existe pas de mĂ©thode de dĂ©codage de la scĂšne visuelle constituĂ©e par les espaces publics qui permette de faire ressortir les carences et les Ă©lĂ©ments positifs de ses constituants. AprĂšs avoir soulignĂ© l'importance de la rĂ©alitĂ© d'un centre-ville"coeur de ville»" pour une agglomĂ©ration, nous aurons comme objectif de recherche de mettre au point une mĂ©thode de dĂ©codage des espaces publics en nous appuyant sur le centre-ville de Sherbrooke. Ce site nous permettra d'Ă©tayer et d'illustrer notre argumentation. Nous ferons un essai d'application de notre mĂ©thode sur une unitĂ© de perception du centre-ville pour en Ă©valuer la validitĂ©. Ce dĂ©codage pourrait ĂȘtre une base plausible pour Ă©tablir dans l'avenir une nouvelle organisation spatiale du site ainsi que celui d'autres agglomĂ©rations."--RĂ©sumĂ© abrĂ©gĂ© par UMI

    Collective Quadrupole Excitations in Transitional Nuclei

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    The generalized Bohr Hamiltonian was used to describe the low-lying collective excitations in even-even isotopes of Ru, Pd, Te, Ba and Nd. The Strutinsky collective potential and cranking inertial functions were obtained using the Nilsson potential. The effect of coupling with the pairing vibrations is taken into account approximately when determining the inertial functions. The calculation does not contain any free parameter

    Parametrizations of triaxial deformation and E2 transitions of the wobbling band

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    By the very definition the triaxial deformation parameter Îł\gamma is related to the expectation values of the K=0 and K=2 components of the intrinsic quadrupole tensor operator. On the other hand, using the same symbol "Îł\gamma", various different parametrizations of triaxial deformation have been employed, which are suitable for various types of the mean-field potentials. It is pointed out that the values of various "Îł\gamma" are quite different for the same actual triaxial deformation, especially for the large deformation; for example, the difference can be almost a factor two for the case of the triaxial superdeformed bands recently observed in the Hf and Lu nuclei. In our previous work, we have studied the wobbling band in Lu nuclei by using the microscopic framework of the cranked Nilsson mean-field and the random phase approximation, where the most serious problem is that the calculated B(E2) value is about factor two smaller. It is shown that the origin of this underestimation can be mainly attributed to the small triaxial deformation; if is used the same triaxial deformation as in the analysis of the particle-rotor model, the calculated B(E2) increases and gives correct magnitude compared with the experimental data.Comment: 10 pages, 9 figure
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