Help! Very Rare Coin!... Maybe?

I found a coin last week with a bunch of
others... I found an 1832 capped bust half dollar dime in
awsome shape... I also found an 1820 capped bust dime
"holed" from square nail that I have not posted yet I
am posting a pic of the 2 coins from the same
field about 10 ft. apart... they are exactly how I
found them no cleaning... the pic shows a big diff. in
the 2 coins what it doesn't show is how shiny the 1820
is its as shiny as a "mirror" I can clearly see my
reflection in it the only coins I have that come close
to it are proofs... could this 1820 dime be a proof?
on the pcgs website it says that there may have been 5
proofs so even with a hole its in great shape and is
extremly rare if its a proof? please take a look at
the pic and let me know what you think the
possiblities are... jd