Precise Determination of the Lyman- $$\alpha $$ α 1 Transition Energy in Hydrogen-like Gold Ions with Microcalorimeters

On the Absorber Thickness of Microcalorimetric Detectors in Experiments at Nuclear Storage Rings

“…Formula (5) means that the instrumental line width w s does not depend on the energy E and is linear with the absorber thickness. Analysis of the real experiments with ions U 91+ , Pb 81+ , and Au 78+ has shown that the instrumental line width w s was always considerably smaller than the Doppler broadening w D [3,4]. Therefore, increasing the absorber thickness twice will increase the full line width w Ly by only 14-24 %.…”

“…The precision of the energy of the X-ray Lyman lines is determined by three factors: the accuracy in determining the position of the peak in the spectrum, the error in the energy calibration of the detectors, and the accuracy in the Doppler correction [3,4]. The latter two factors can be minimized by appropriate organization of the experiment.…”

“…In particular, the calibration X-ray lines must be of sufficient intensity and located in the vicinity of the Ly-lines. The location of the X-ray emitting region and the position of each pixel of the detector must be determined in separate experiments [4].…”

“…Note that increasing the thickness of the Sn-absorber to 0.2 mm, while maintaining almost the same precision, can increase the count rates by 70 %. The latter will allow performing the time correction of the signal more accurately, which is often necessary in long-term experiments [3,4].…”

“…Nowadays, the requirement to the accuracy of the experimental mea- To increase the accuracy of the measurements, microcalorimeters for hard X-rays were successfully used because they combined excellent energy resolution with acceptable detection efficiency [2][3][4]. Experiments with heavy hydrogen-like ions were carried out at the experimental storage ring (ESR) at GSI.…”