Acupuncture is used to address the physical and emotional symptoms of a "Broken Heart". It is very clear to anyone who has suffered a "Broken Hearted" state that the pain is more than simply a psychological event. Blood Stagnation would be the specific syndrome in Chinese Medicine.
Blood Stagnation is characterized by pain in a fixed location which may or may not be caused by a physical trauma injury. The nature of the pain is long lasting, can be severe, and is not noticeably effected to environment, digestion, or elimination. It does not move around the body.
In the case of Blood Stagnation with an emotional onset, most likely the person with the pain will be able to articulate the source of their distress. Strategies for addressing Blood Stagnation focus on moving the Stagnation, and improving the sense of self and direction.
This is actually a fairly common experience that most will encounter more than few times in their life. Acupuncture does wonders for this.