To date, no experiments have been conducted specifically targeting the 0νββ decay of 13C. The primary reason is the extremely low expected rate and high background levels anticipated in such measurements.
However, if we still explore this:
The neutrinoless double beta decay (0νββ) is a rare nuclear process in which a nucleus emits two beta particles (electrons) without emitting any neutrinos. This process is of great interest in particle physics because it can provide insight into the nature of neutrinos and the mechanism of neutrino mass generation. One of the candidates for this process is the isotope Carbon-13 (13CO3 or 13C). co3 0nu
However, I need to point out that there seems to be a typo in your request. The commonly studied isotopes for 0νββ decay are not CO3 but rather nuclei like Germanium-76 (76Ge), Selenium-82 (82Se), Molybdenum-100 (100Mo), and Tellurium-130 (130Te), among others. To date, no experiments have been conducted specifically