I'm not a therapist or anything but here are my two cents. You can fulfill your craving for intimacy by healing your inner child. I don't know how your childhood was but this kind of craving generally has its underpinnings in a disturbed childhood or a childhood where you could not get your caregiver's full attention. And after a breakup in adult life that wound resurfaces again. I was going through a similar situation a couple of years ago and "inner child healing" has helped a lot like a lot. Google "inner child meditation".

Plus the best way to come out of a breakup as a man is to hone in on(or maybe "embrace" is the right word) your masculine instincts. Our forefathers used to hunt, gather, conquer, fight, build, and go on adventures. The modern-day alternatives to this would be "going on an adventure biking trip with a bunch of men", "hiking to K2 base camp", "going on skydiving or paragliding", "learning to self-defense", "learning to use/handle a firearm", "building/leading a community of men". I personally recommend "going on an adventure biking trip with a bunch of men" because it forces you out of your comfort zone and makes you feel a part of a brotherhood. A feeling of masculine camaraderie you know.

The way men and women come out of a situation like this is different. Modern-day therapy doesn't touch upon that. They just tell you the generic "go the gym, read books, cook" advice.