A conundrum is a kind of riddle based upon some fanciful or fantastic resemblance between things quite unlike. It creates a puzzling question, of which the answer is or involves a pun. Solve this riddle and win a prize. (My admiration.) Try not to look at the comments until you’ve guessed the answer yourself. Then, please brag to me about it in the comments section!

What does not think but has a head?
Has many stories never read?
For each of us, just one, not many.
Contains much heart, yet has not any.
Some say once gone, you can’t go back,
and though one letter it may lack,
with it, if you hit the ball,
you’ll have the finest luck of all.
Add “r” and cover all the bases,
and you’ll bring smiles to many faces.
And when you finally come in free,
you’ll find you have come back to me.
Today’s prompt word is “conundrum.”
