لَيْتَ الشَّبَابَ يَعُودُ
If only youth would return.
This is a wish for a desirable state that is not expected to occur literally. لَعَلَّ الْمَرِيضَ يَشْفَى
Perhaps the patient will recover.
This is hope, because recovery is possible. In suitable contexts law or hal may also communicate wishing, but their rhetorical sense must be established from context rather than assumed from the particle alone.