Search results for "Mathematical physics"

Geometric Origin of the Tennis Racket Effect

2020

The tennis racket effect is a geometric phenomenon which occurs in a free rotation of a three-dimensional rigid body. In a complex phase space, we show that this effect originates from a pole of a Riemann surface and can be viewed as a result of the Picard-Lefschetz formula. We prove that a perfect twist of the racket is achieved in the limit of an ideal asymmetric object. We give upper and lower bounds to the twist defect for any rigid body, which reveals the robustness of the effect. A similar approach describes the Dzhanibekov effect in which a wing nut, spinning around its central axis, suddenly makes a half-turn flip around a perpendicular axis and the Monster flip, an almost impossibl…

On the convexity of relativistic ideal magnetohydrodynamics

2015

We analyze the influence of the magnetic field in the convexity properties of the relativistic magnetohydrodynamics system of equations. To this purpose we use the approach of Lax, based on the analysis of the linearly degenerate/genuinely non-linear nature of the characteristic fields. Degenerate and non-degenerate states are discussed separately and the non-relativistic, unmagnetized limits are properly recovered. The characteristic fields corresponding to the material and Alfv\'en waves are linearly degenerate and, then, not affected by the convexity issue. The analysis of the characteristic fields associated with the magnetosonic waves reveals, however, a dependence of the convexity con…

Trial for the long neutron counter TETRA using $^{96,97}$Rb radioactive sources

2019

International audience; The TETRA long neutron counter is operated at ALTO ISOL facility behind the PARRNe mass separator. TETRA has been proven to be a unique instrument for measurements of β-decay properties of short-lived neutron-rich nuclei having applications for the nuclear structure and/or astrophysical r-process calculations. A proper calibration of TETRA can allow validation of the experimental procedure used for determination of β-delayed one-neutron emission probabilities (P1n). It requires the use of a well-known β-neutron decaying radioactive source which can be only produced and measured on-line due to its short half-life. Thus, the present paper reports on measurements of P1n…

A beamline for x-ray laser spectroscopy at the experimental storage ring at GSI

2013

By combining an x-ray laser (XRL) with a heavy-ion storage ring, precision laser spectroscopy of the fine-structure splitting in heavy Li-like ions will be possible. An initial study has been performed to determine the feasibility of a first experiment at the experimental storage ring at GSI in Darmstadt, which also has great potential for the experiments planned for FAIR. We plan to perform a unique, direct and precise measurement of a fine-structure transition in a heavy Li-like ion. Such a measurement will test state-of-the-art atomic structure calculations in strong fields. This endeavour will require that the existing infrastructure is complemented by a dedicated beamline for the XRL. …

A compact system for high precision time measurements ( < 14 ps RMS) and integrated data acquisition for a large number of channels

2011

A high precision ( < 14 ps RMS time resolution) and high channel density ( ~ 256 channels) Time to Digital Converter (TDC) module (realized in FPGAs) with integrated DAQ is presented. The data is transported over up to 8 Gigabit-Ethernet or optical links with up to 3 Gb/s. Slow-Control information is transported over the same links. It can be attached directly to the detector, which allows the elimination of long cables and crate systems. The full 256 channel TDCs are expected to use approximately 30 W electrical power. The module size is 20 cm by 23 cm. Power is provided by a galvanically isolated 48 V low noise power supply. AddOn-boards adapt to the special needs of the detector to be re…

Evidence for Magnetic Rotation in the Light Tin Region

2000

Lifetimes have been measured for three M1 bands in light Sn/Cd nuclei using the DSAM technique. B(M1) values deduced from these measurements show a rapid decrease with increasing spin for a given configuration. The results have been compared with both Tilted axis cranking and semi-empirical model calculations. These suggest that the shears mechanism is present in this mass region, and that the band in 106Sn appears to be the first example of almost pure magnetic rotation.

Non-equilibrium Green’s Functions for Coupled Fermion-Boson Systems

2020

Dynamics of mean-field spin models from basic results in abstract differential equations

1992

The infinite-volume limit of the dynamics of (generalized) mean-field spin models is obtained through a direct analysis of the equations of motion, in a large class of representations of the spin algebra. The resulting dynamics fits into a general framework for systems with long-range interaction: variables at infinity appear in the time evolution of local variables and spontaneous symmetry breaking with an energy gap follows from this mechanism. The independence of the construction of the approximation scheme in finite volume is proven. © 1992 Plenum Publishing Corporation.

A duality-invariant Einstein-Planck relation and its consequences on micro-black holes.

2013

We discuss the consequences of a duality-invariant Einstein–Planck (DIEP) relation on the equation of state of micro black holes. The results are analogous to those obtained from the "world-crystal" model, but with some significative differences, as for instance a limiting vanishing value for temperature for very small black holes. The model leads to a total evaporation of micro black holes but with the final stage being very slow.

High-frequency Ramsey excitation in a Penning trap

2007

The Ramsey excitation method for high-precision mass-measurements of highly-charged ions has been investigated and benchmarked using H2+ ions in the Penning-trap mass-spectrometer SMILETRAP. The reason for using H2+ ions are their high cyclotron frequency which is typical for the highly-charged ions usually used at SMILETRAP. Two-, three- and four-pulse Ramsey excitation data are analyzed with the help of recent theoretical work and are compared with the previously used single-pulse excitation data. An improvement factor of 2.9 in the statistical uncertainty is achieved. Furthermore the mass of 76Se, included in the previous Q-value measurement of the 76Ge neutrinoless double beta decay, is…