Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model

A supersymmetric extension of the dynamical symmetry group $Sp^{B}(12,R)$ of the Interacting Vector Boson Model (IVBM), to the orthosymplectic group $OSp(2\Omega/12,R)$ is developed in order to incorporate fermion degrees of freedom into the nuclear dynamics and to encompass the treatment of odd mass nuclei. The bosonic sector of the supergroup is used to describe the complex collective spectra of the neighboring even-even nuclei and is considered as a core structure of the odd nucleus. The fermionic sector is represented by the fermion spin group $SO^{F}(2\Omega)\supset SU^{F}(2)$. The so obtained, new exactly solvable limiting case is applied for the description of the nuclear collective spectra of odd mass nuclei. The theoretical predictions for different collective bands in three odd mass nuclei, namely $^{157}Gd$, $^{173}Yb$ and $^{163}Dy$ from rare earth region are compared with the experiment. The $B(E2)$ transition probabilities for the $^{157}Gd$ and $^{163}Dy$ between the states of the ground band are also studied. The important role of the symplectic structure of the model for the proper reproduction of the $B(E2)$ behavior is revealed. The obtained results reveal the applicability of the models extension.Comment: 18 pages, 8 figure

Simultaneous Description of Even-Even, Odd-Mass and Odd-Odd Nuclear Spectra

The orthosymplectic extension of the Interacting Vector Boson Model (IVBM) is used for the simultaneous description of the spectra of different families of neighboring heavy nuclei. The structure of even-even nuclei is used as a core on which the collective excitations of the neighboring odd-mass and odd-odd nuclei are built on. Hence, the spectra of the odd-mass and odd-odd nuclei arise as a result of the consequent and self-consistent coupling of the fermion degrees of freedom of the odd particles, specified by the fermion sector $SO^{F}(2\Omega)\subset OSp(2\Omega/12,R)$, to the boson core which states belong to an $Sp^{B}(12,R)$ irreducible representation. The theoretical predictions for different low-lying collective bands with positive and negative parity for two sets of neighboring nuclei with distinct collective properties are compared with experiment and IBM/IBFM/IBFFM predictions. The obtained results reveal the applicability of the used dynamical symmetry of the model.Comment: 6 pages, 1 figure, A talk given at the 7th International Conference of the Balkan Physical Union, September 9-13, 2009, Alexandropoulos, Greec

Analytic Formulae for the Matrix Elements of the Transition Operators in the Symplectic Extension of the Interacting Vector Boson Model

The tensor properties of all the generators of Sp(12,R) - the group of dynamical symmetry of the Interacting Vector Boson Model (IVBM), are given with respect to the reduction chain Sp(12,R) $\supset$ U(6) $\supset$ U(3) x U(2) $\supset$ O(3) x U(1). Matrix elements of the basic building blocks of the model are evaluated in symmetry adapted basis along the considered chain. As a result of this, the analytic form of the matrix elements of any operator in the enveloping algebra of the Sp(12,R), defining a certain transition operator, can be calculated. The procedure allows further applications of the symplectic IVBM for the description of transition probabilities between nuclear collective states.Comment: 6 page

Internal Corporate Governance: The Role of Residual Income on Divisional Allocation of Funds

Internal capital markets of diversified firms have been associated with inefficient allocation of investment funds across divisions, leading to value losses. Utilizing a sample of diversified firms that adopted or eliminated Residual Income (RI) plans between 1990 and 2009, we show that adoptions of these plans mitigate investment distortions and lead to value gains. Following the adoption of RI plans, diversified firms start allocating investment funds based on growth opportunities of their divisions. RI plan adopters lower their divisional investment levels, especially in segments with below-average growth opportunities. The overall investment allocation efficiency improves, and the diversification discount diminishes after the adoption of RI plans. However, RI plans appear to be used only as temporary tools for assessing corporate performance. The plans are adopted primarily by firms expected to immediately generate plan bonuses for management, and they are frequently eliminated by firms with bad accounting performance and low managerial bonuses. The study contributes to the literature on organizational efficiency, internal capital markets, and on the importance of measures based on economic profits or RI

ADHESIVE PROPERTIES OF LYMPHOCYTES - A POSSIBLE MECHANISM FOR THEIR SELECTIVE DISTRIBUTION IN THE ORGANISM

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Energy Systematics of Low-lying Collective States within the Framework of the Interacting Vector Boson Model

In a new application of the algebraic Interacting Vector Boson Model (IVBM), we exploit the reduction of its Sp(12,R) dynamical symmetry group to Sp(4,R) x SO(3), which defines basis states with fixed values of the angular momentum L. The relationship of the latter to $U(6) \subset U(3)x U(2), which is the rotational limit of the model, means the energy distribution of collective states with fixed angular momentum can be studied. Results for low-lying spectra of rare-earth nuclei show that the energies of collective positive parity states with L=0,2,4,6... lie on second order curves with respect to the number of collective phonons n or vector bosons N=4n out of which the states are built. The analysis of this behavior leads to insight regarding the common nature of collective states, tracking vibrational as well as rotational features.Comment: 8 pages, 5 figures, 4 table

TARP\u27s Dividend Skippers

Most of the banks receiving capital injections from the Troubled Asset Relief Programme (TARP) issued preferred stock to taxpayers. This paper presents the factors that affect publicly traded banks’ ability to pay the scheduled TARP preferred stock dividends. Smaller banks with weaker capital ratios and more problem loans are significantly more likely to suspend payments of their bailout dividends

CONSIDERATIONS ON THE INCIDENCE AND WIDESPREADING OF DISSEMINATED SCLEROSIS IN THE DISTRICT OF VARNA

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A historical review of the International Symposia on Recent Advances of Rhinosinusitis and Nasal Polyposis, organized since 2000 around the world

Background: The problems of rhinosinusitis and nasal polyposis have been discussed further back in time. Nature of nasal polyps is diverse. Therapeutical approaches back then were original and strange in some cases. Connections with rhino-sinu-nasal pathologies have been proven in patients with obstructive sleep apnea. Data shows that OSA severity is directly related to the response of the tissues in the area.Materials and methods: Scientific databases – PubMed, SCOPUS and MEDLINE were used to search for gathering the data in need. The following keywords rhinosinusitis, nasal polyposis, treatment. Information and data from the official websites of the organizing committees has been used. The aim of the following article is to study the history of rhinosinusitis and nasal polyposis diagnosis and treatment development.Results and discussion: Acute and chronic rhinosinusitis and nasal polyposis are conditions more frequently diagnosed nowadays, due to the multifactorial etiology they are linked to. Authors have been continuously working on the field, more abruptly since the year of 2000. A number of scientific events have been organized, where clinicians reached to consensus and issued guidelines on how the mentioned conditions should be treated. FESS and computer aided surgeries have been in the focus in the last 10 years.Conclusions: Rhino-sinu-nasal pathology is directly related to the quality of life of patients affected. Therefore, clinicians should continue working in the field, and investigating the root causes of the disorders. More attention is to be brought on the allergic etiology, often main cause of the nasal pathologies