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N13 ammonia, also known as nitrogen-13 ammonia, is produced in a cyclotron. Cyclotrons are particle accelerators that can create various isotopes through nuclear reactions. In the case of N13, the cyclotron bombards a target material, typically nitrogen-14, with protons. This reaction results in the formation of nitrogen-13 by adding a proton to the nitrogen-14 nucleus.

The production of isotopes like N13 ammonia in a cyclotron is crucial because it ensures that the isotope is generated on-site and can be used quickly in imaging procedures, such as PET scans, due to its relatively short half-life of about 10 minutes. This rapid decay necessitates a close proximity between the production area and the application area to maximize efficiency and minimize the time between production and use.

In summary, the cyclotron is vital for the production of N13 ammonia, making it the correct answer to the question.