Mindfulness is a peer-reviewed academic journal on psychology published by Springer Science+Business Media. The journal's founding editor, beginning with the first issue in 2010, was Nirbhay N. Singh. As of 2018, he was continuing as editor-in-chief.
There are a lot of journal or articles that you can check about Mindfulness. You might be also interested with Mindfulness Meditation and Mindfulness Teacher Training.