Yes, it is normal, but even these batteries can OCCASIONALLY be redeemed. My PB180 (also new to me) behaved like this, but after a little coaxing, began to accept the battery. It is now giving well over an hour on a charge after 15-20 cycles.
If, however, the battery is leaking etc., it obviously needs to be recycled. Note in case of leakage that the chemicals are nasty.