Or alternatively do good PhD students/researchers spend some part of thier day, regularly, reading new research papers/pre-prints?
Please give some reasoning of why and why not, if possible.
Background for those who are interested-
I am a Physics student. I am new to publishing research papers and research in general. Just around a week back my summer intern work was submitted to a journal and a pre-print was made public in arXiv(I am the corresponding author). This was my first experience with publishing a paper, so I didn't know what to expect (except for corrections, Major/Minor revision notification from the journal ;[ )
However, within 12 hours of being public in arXiv I received a mail from a PhD student and the next day I received a mail from another PhD student. One of the mails was about how his research paper (published a month back) disproved a popular notion which we had mentioned in our discussion and the second one about his research paper and possibility of matching both our results.
Both of these PhD students were from two very very prestigious universities so I was quite surprised. While I expected people asking for clarification or pointing out mistakes I did not expect such a practice.
Is it common for all PhD students to do this? or Do good researchers do this on their own? (which might explain why these two are in top schools). But the topic of this research is very hot with lots of new papers are published every week. So I can't imagine how one would achieve it. Also, until now, I always thought that we will have a specific problem for our PhD, so I am not sure in what way this'll be useful.(I know one has to do literature study before starting)
Since I would be applying for graduate schools next year I though this might be something I should practice, if it helps me as a researcher.