Irrational possessiveness

Is anyone irrationally possessive over their baby?

I remember having some thought with my first, but with this baby I want to have me, my husband and him all go off grid and never see anyone again.

I don’t want anyone to know I’m in the hospital. I don’t want people to visit in the hospital, or at home. I don’t want people to hold him, or take pictures of him. Nothing. I’ve talked to my husband about it and I know I can’t actually enforce this (that would be absolutely nuts). But I just have a very strong fear (I guess would be the best way to put it) of anyone besides us two being around.

Will it go away? Will it get worse? Who knows! Anyone else going through this????