The \pi h_{11/2}^{-1}\nu i_{13/2}^{-2} three-hole isomeric state and octupole core excitation in the 205 Tl nucleus

New high-spin states were identified in the ²⁰⁵Tl isotope produced in deep-inelastic heavy-ion reactions. The expected 29/2 ⁺ yrast state and 35/2^- isomeric state with 235 ns half-life were located above the 2.6 s isomer known from previous studies. Above this isomer a 7092 keV level was interpreted as a 41/2 ⁺ state arising from the coupling of the octupole vibration of the ²⁰⁸Pb core with the three-hole structure of the 35/2^- isomer.Received: 20 January 2003, Revised: 10 March 2003, Published online: 2 March 2004PACS: 21.60.Cs Shell model - 23.20.Lv Gamma transitions and level energies - 27.80. + w - 25.70.Lm Strongly damped collisions     

3-Dimensional Scalar-Vector Dual of Topological σ-Model

A 3-dimensional model dual to the Rozansky-Witten topological sigma-model with a hyper-Kähler target space is considered. It is demonstrated that a Feynman diagram calculation of the classical part of its partition function yields the Milnor linking number.     

On the aromaticity of uracil and its 5-halogeno derivatives as revealed by theoretically derived geometric and magnetic indexes

Structural Chemistry - The problem of aromaticity in heterocyclic rings of uracil and its 5-halogenoderivatives (5XU) was analyzed theoretically by calculating modified harmonic oscillator model of...     

New states in 44,46Ar isotopes from deep-inelastic heavy ion reaction studies

In-beam γ-rays in neutron-rich sdfp shell nuclei, produced in deep-inelastic collisions of ⁴⁸Ca projectiles on ⁴⁸Ca target nuclei, have been studied using Ge multidetector array EU-ROBALL III. New yrast states in heavy argon isotopes have been identified. Received: 11 November 1999     

Particle octupole-vibration coupling near 208Pb

High-spin states in ²⁰²Pb and ²⁰³Pb have been investigated by in-beam γ-ray spectroscopy following the reaction ¹⁹⁸Pt(⁹Be,xn). A search for magnetic rotational bands in these isotopes confirmed one of the two bands previously assigned to ²⁰²Pb and revealed a new band in this isotope. No evidence for magnetic rotation has been found in ²⁰³Pb. Received: 24 July 2000 / Accepted: 28 September 2000     

Local aromaticity mapping in the vicinity of planar and nonplanar molecules

We report on nucleus-independent magnetic shielding (NICS) scans over the centers of six- and five-membered rings in selected metal phthalocyanines (MPc) and fullerene C60 for more accurate characterization of local aromaticity in these compounds. Detailed tests were conducted on model aromatic molecules including benzene, pyrrole, indole, isoindole, and carbazole and subsequently applied to H₂Pc, ZnPc, Al(OH)Pc, and CuPc. Similar behavior of three selected magnetic probes, Bq, ³He, and ⁷Li⁺, approaching perpendicularly the ring centers, was observed. For better visualization of shielding zone over the centers of aromatic rings, we introduced a simple mathematical procedure: the first and second derivatives of scan curves with respect to magnetic probe position enabled their additional examination. It allowed an easier localization of curve minimum and discrimination between areas in space varying by the magnetic field magnitude and to illustrate local aromaticity of two different kinds of rings in MPc with better resolution. Our results supported earlier reports on very low aromaticity indexes of pyrrole ring incorporated into MPc and significant aromaticity of the central macrocycle. No direct dependence between harmonic oscillator model of aromaticity and NICS was observed. Instead, a correlation between position of scan curve minimum and its magnitude were observed. In addition, the NICS values and ³He chemical shifts in the middle of neutral C60 and C60⁶⁻ anion agreed well with the reported experimental NMR values for He@C60 and He@C60⁶⁻.     

A relation between the Barbero–Immirzi parameter and the standard model

It has been shown that Sakharov's induced, from the fields entering the standard model, Barbero–Immirzi parameter γ assumes, in the framework of Euclidean formalism, the UV cutoff-independent value, 1/9. The calculus uses the Schwinger's proper-time formalism, the Seeley–DeWitt heat-kernel expansion, and it is akin to the derivation of the ABJ chiral anomaly in space–time with torsion.