Superalgebras for the Penning Trap
نویسنده
چکیده
The hamiltonian describing a single fermion in a Penning trap is shown to be supersymmetric in certain cases. The supersymmetries of interest occur when the ratio of the cyclotron frequency to the axial frequency is 3/2 and the particle has anomalous magnetic moment 4/3 or 2/3. At these supersymmetric points, the spectrum shows uniformly spaced crossed levels. The associated superalgebras are su(2|1) and su(1|1). The phase space for this problem has an osp(2|6) structure and contains all the degeneracy superalgebras.
منابع مشابه
Position-sensitive ion detection in precision Penning trap mass spectrometry
A commercial, position-sensitive ion detector was used for the rst time for the time-ofight ion-cyclotron resonance detection technique in Penning trap mass spectrometry. In this work, the characteristics of the detector and its implementation in a Penning trap mass spectrometer will be presented. In addition, simulations and experimental studies concerning the observation of ions ejected from ...
متن کاملStability of a charged particle in a combined Penning-Ioffe trap.
The axial symmetry of a familiar Penning trap is broken by adding the radial magnetic field of an Ioffe trap. Despite the resulting loss of a confinement theorem, stable orbits related to adiabatic invariants are identified, expressions are given for their frequencies, and resonances that must be avoided are characterized. It seems feasible to experimentally realize the new Penning-Ioffe trap t...
متن کاملCalculation of electrostatic fields using quasi-Green’s functions: application to the hybrid Penning trap
Penning traps offer unique possibilities for storing, manipulating and investigating charged particles with high sensitivity and accuracy. The widespread applications of Penning traps in physics and chemistry comprise e.g. mass spectrometry, laser spectroscopy, measurements of electronic and nuclear magnetic moments, chemical sample analysis and reaction studies. We have developed a method, bas...
متن کاملPenning trap mass measurements with stored and cooled exotic ions
The technique of Penning trap mass spectrometry is briefly reviewed particularly in view of precision experiments on unstable nuclei, performed at different facilities worldwide. Selected examples of recent results emphasize the importance of high-precision mass measurements in various fields of physics. PACS numbers: 07.75.+h, 21.10.Dr, 32.10.Bi Submitted to: J. Phys. B: At. Mol. Opt. Phys. Hi...
متن کاملMass Measurements and Superallowed Beta Decay
The recent CPT Penning-trap measurement of the QEC value for the superallowed decay of V [1] disagreed significantly with the previously accepted value [2], a survey result principally based on a 30year-old (He,t) Q-value measurement by Vonach et al. [3]. Since this result reduced the consistency among the Ft values for the nine most precisely characterized T=1 superallowed beta emitters, it ra...
متن کامل