Vibronic and spin-orbit splitting in spectra of systems exhibiting Jahn-Teller-Effect

Simple two- and three-dimensional models have been used to investigate the vibronic states of molecules exhibiting Jahn-Teller-Effect. According to the topology of the adiabatic potential surface, two cases have to be distinguished, which may (A) or may not (B) be treated in the Born-Oppenheimer approximation. In the latter case B strong Jahn-Teller coupling leads to a splitting of an A E absorption line into three peaks instead of the usual two ones. This additional splitting originates from transitions into the first and second metastable level of the upper potential well. However, the vibronic splitting will often be smeared out by coupling of the Jahn-Teller effect to a distortion of a Jahn-Teller inactive vibration. The effective spin-orbit splitting of an absorption band with unresolved vibrational structure is larger than in the case of vanishing Jahn-Teller coupling, contrary to the spin-orbit splitting of single vibronic levels. An experimental example of this effect is discussed. In Jahn-Teller case B it may be interpreted as a superposition of the vibronic and the spin-orbit splitting effects.

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Zusammenfassung Mittels einfacher zwei- und dreidimensionaler Modelle wurden die vibronischen Zustände von Molekülen untersucht, die einen Jahn-Teller-Effekt zeigen. Entsprechend der Topologie der adiabatischen Potentialfläche sind zwei Fälle A und B zu unterscheiden, die im Rahmen der Born-Oppenheimer-Näherung behandelt werden können bzw. wo dies nicht möglich ist. Im letzteren Falle B führt eine sehr starke Jahn-Teller-Kopplung zur Aufspaltung einer AE Absorptionslinie in drei statt wie üblich in zwei Peaks. Diese zusätzliche Aufspaltung rührt her von Übergängen in die ersten beiden metastabilen Resonanzzustände der oberen Potentialmulde. In vielen Fällen wird mit einer Jahn-Teller-Kopplung der asymmetrischen Schwingung eine Verschiebung der Gleichgewichtslage einer Jahn-Teller inaktiven Schwingung einherlaufen: Die vibronischen Aufspaltungen sollten daher durch Schwingungsverbreiterung teilweise verschmiert sein. Während die Spin-Bahn-Aufspaltung einzelner vibronischer Niveaus durch Jahn-Teller-Kopplung verringert wird, wird die effektive Spin-Bahn-Aufspaltung einer Absorptionslinie mit nichtaufgelöster Schwingungsstruktur vergrößert. Ein experimentelles Beispiel für diesen Effekt wird diskutiert. Im Jahn-Teller-Fall B kann er als Überlagerung der vibronischen und der Spin-Bahn-Aufspaltung interpretiert werden.

     

Measurement of the electric form factor of the neutron at Q2 = 0.3-0.8 (GeV/ c) 2 ⋆

The electric form factor of the neutron, G_E,n, has been measured at the Mainz Microtron by recoil polarimetry in the quasielastic D(¯e, e¯n)p reaction. Three data points have been extracted at squared four-momentum transfers Q ² = 0.3, 0.6 and 0.8 (GeV/c)². Corrections for nuclear binding effects have been applied.This revised version was published online in March 2005. In the previous version, the email address of one author was inadvertently assigned to multiple authors.     

Recovery of spectral features readout with frequency-chirped laser fields

A data-processing technique is proposed for use with conventional frequency-chirped absorption spectroscopy to ensure accurate mapping of spectral features into time-domain signatures with arbitrarily fast readout chirp rates. This technique recovers the spectrum from a signal that is distorted owing to the fast chirp rate and therefore facilitates fast measurement of the spectral features over a broad spectral range with high resolution. Both numerical simulations and experimental results are presented.     

Measurement of RLT and ATL in the 4He(e, e’p)3H reaction at pmiss of 130-300 MeV/ c

We have measured the ⁴He(e, ep)³H reaction at missing momenta of 130-300 MeV/c using the three-spectrometer facility at the Mainz microtron MAMI. Data were taken in perpendicular kinematics to allow us to determine the response function R_LT and the asymmetry term A_TL. The data are compared to both relativistic and non-relativistic calculations.     

Accumulated programming of a complex spectral grating

A complex spectral grating is accumulated by repeated application of a pair of low-power optical programming pulses to a short-term persistent inhomogeneously broadened transition in Tm:YAG at 4.5 K and then probed to investigate the buildup dynamics. The necessary frequency stability is obtained by locking a cw Ti:sapphire laser to a regenerating transient spectral hole in the same transition. Grating accumulation is demonstrated for both a periodic spectral grating, representing a true-time delay, and a complex spectral grating, permitting correlation-based pattern recognition. This work is a step toward demonstrating an optical coherent transient continuously programmed continuous processor.     

Morse Theory and Central Configurations in the Spatial N-body Problem

In the spirit of Palmore and Pacella, Morse Theory is used to obtain a lower bound for the number of central configurations in the spatial N-body problem. The homology of the configuration ellipsoid with the collision and collinear manifolds removed and the SO(3) symmetry quotiented out is calculated. As intermediate steps, homology calculations are carried out for several additional manifolds naturally arising in the N-body problem.