Well, he needs an I-601A waiver to come back to the U.S. and to get this waiver he will have to prove that you, his spouse, will suffer extreme hardship if he is not allowed back in to the U.S. These waivers are very difficult to get. The reason they are difficult to get is because the hardship probably will need to be more than just economic hardship or emotional separation hardship. So because they are difficult to get, no one wants to risk leaving the U.S. and getting stuck outside for 10 years if it isn't granted.
You can look at this link to get more information on I-601 waivers. It is from the U.S. Embassy in Syria, but it is a good description and the process should be similar in all U.S. Embassies.
and here is another link:
And here is a link to what extreme hardship is:
Unfortunately, the hardship of your child does not count, but it can count the difficulty on you having to raise the child on your own.
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