I suspect you'll have no problem. I spanned a ~13' section with 2x8's to do that very thing, although I was only hanging a 25lb projector, and it was at one end of the span, and not the center. However, I was able to do pullups on the projector backing, and I'm a a bit over 200 lbs.
I did some online searching for joist loading, and was able to find ratings charts for typical lumber at span lengths. For just 5/8's rock, 2x8 was plenty.
Here's a couple of shots of my framing in between the existing joists. They were resting on a framed wall at one end, and an I-beam on the other end:
More pics HERE.
I did some online searching for joist loading, and was able to find ratings charts for typical lumber at span lengths. For just 5/8's rock, 2x8 was plenty.
Here's a couple of shots of my framing in between the existing joists. They were resting on a framed wall at one end, and an I-beam on the other end:


More pics HERE.