Simple formulas for theoretical minimum emittance in storage rings

Emittance Measurements in Low Energy Storage Rings

The development of the next generation of ultra-low energy antiproton and ion facilities requires precise information about the beam emittance to guarantee optimum performance. In the Extra-Low ENergy Antiproton storage ring (ELENA) the transverse emittances will be measured by scraping. However, this diagnostic measurement faces several challenges: non-zero dispersion and systematic errors due...

Tolerances to Limit the Vertical Emittance in Future Storage Rings

Single-Particle Dynamics in Electron Storage Rings with Extremely Low Emittance∗

Electron storage rings are widely used for high luminosity colliders, damping rings in high-energy linear colliders, and synchrotron light sources. They have become essential facilities to study high-energy physics and material and medical sciences. To further increase the luminosity of colliders or the brightness of synchrotron light sources, the beam emittance is being continually pushed down...

A Simple Algorithm for Stable Minimum Storage Merging

We contribute to the research on stable minimum storage merging by introducing an algorithm that is particularly simply structured compared to its competitors. The presented algorithm performs O(m log( n m + 1)) comparisons and O((m + n) log m) assignments, where m and n are the sizes of the input sequences with m ≤ n. Hence, according to the lower bounds of merging the algorithm is asymptotica...

Rings for which every simple module is almost injective

We introduce the class of “right almost V-rings” which is properly between the classes of right V-rings and right good rings. A ring R is called a right almost V-ring if every simple R-module is almost injective. It is proved that R is a right almost V-ring if and only if for every R-module M, any complement of every simple submodule of M is a direct summand. Moreover, R is a right almost V-rin...