Studies of radioactive ions (RI) is the most intensively developing field of the low-energy nuclear physics. In this paper the concept and the scientific agenda of prospective accelerator and storage ring facility for the RI beam (RIB) research are proposed for the large-scale international project based at the Flerov Laboratory of Nuclear Reactions of the Joint Institute for Nuclear Research. The motivation for the new facility is discussed and its characteristics are briefly presented, showing to be comparable to those of the advanced world centers, the socalled "RIB factories". In the project the emphasis is made on the studies with the short-lived RIBs in storage rings. A unique feature of the project is the possibility to study the electron-RI interactions in the collider experiment for determination of fundamental properties of the nuclear matter, in particular, electromagnetic form-factors of exotic nuclei.
Computations of the accelerator section of the International Linear Collider (ILC), which con sists of superconducting niobium cavities, are performed for conditions of the maximum energy transfer to electrons that travel along the cavity axis. A mathematical model and software packages are created for the computation of the electric characteristics and profile of a single cell cavity. A computer based synthesis of the cavity shape that yields the required electric characteristics is performed. The promising design variants of a single cell cavity, with which a quality factor of 10 10 is provided at a working frequency of 1.3 GHz, are found to optimize the construction and manufacture of a single cell cavity. The electric characteristics of a chain of single cell cavities are computed.
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