%0 Journal Article %T An X-ray activity cycle on the young solar-like star £¿ Eridani %A B. Stelzer %A J. Hall %A J. Sanz-Forcada %A L. Ducci %A M. Coffaro %A M. Mittag %A P. C. Schneider %A S. Orlando %A T. S. Metcalfe %A U. Wolter %J - %D 2020 %R 10.1051/0004-6361/201936479 %X Chromospheric Ca II activity cycles are frequently found in late-type stars, but no systematic programs have been created to search for their coronal X-ray counterparts. The typical time scale of Ca II activity cycles ranges from years to decades. Therefore, long-lasting missions are needed to detect the coronal counterparts. The XMM-Newton satellite has so far detected X-ray cycles in five stars. A particularly intriguing question is at what age (and at what activity level) X-ray cycles set in. To this end, in 2015 we started the X-ray monitoring of the young solar-like star £¿ Eridani, previously observed on two occasions: in 2003 and in early 2015, both by XMM-Newton. With an age of 440 Myr, it is one of the youngest solar-like stars with a known chromospheric Ca II cycle. We collected the most recent Mount Wilson S-index data available for £¿ Eridani, starting from 2002, including previously unpublished data. We found that the Ca II cycle lasts 2.92 ¡À 0.02 yr, in agreement with past results. From the long-term XMM-Newton lightcurve, we find clear and systematic X-ray variability of our target, consistent with the chromospheric Ca II cycle. The average X-ray luminosity is 2 ¡Á 1028erg s£¿1, with an amplitude that is only a factor of 2 throughout the cycle. We apply a new method to describe the evolution of the coronal emission measure distribution of £¿ Eridani in terms of solar magnetic structures: active regions, cores of active regions, and flares covering the stellar surface at varying filling fractions. Combinations of these three types of magnetic structures can only describe the observed X-ray emission measure of £¿ Eridani if the solar flare emission measure distribution is restricted to events in the decay phase. The interpretation is that flares in the corona of £¿ Eridani last longer than their solar counterparts. We ascribe this to the lower metallicity of £¿ Eridani. Our analysis also revealed that the X-ray cycle of £¿ Eridani is strongly dominated by cores of active regions. The coverage fraction of cores throughout the cycle changes by the same factor as the X-ray luminosity. The maxima of the cycle are characterized by a high percentage of covering fraction of the flares, consistent with the fact that flaring events are seen in the corresponding short-term X-ray lightcurves predominately at the cycle maxima. The high X-ray emission throughout the cycle of £¿ Eridani is thus explained by the high percentage of magnetic structures on its surface %U https://www.aanda.org/articles/aa/full_html/2020/04/aa36479-19/aa36479-19.html