In a series of Twitter posts on Wednesday, Sen. Paul - who has remained at home recovering from his injuries - said he had six broken ribs, and fluid around his lungs from the attack.
"I appreciate all of the support from everyone," Paul tweeted.
Paul also used two tweets to push back against press reports which said the dispute between the two men was somehow related to landscaping issues at their adjoining homes, as Paul posted links to two different stories.
Boucher's attorney said it was a 'regrettable dispute,' labeling it 'trivial' in nature, but offering no details.
It is not clear when Paul might return to Capitol Hill.
The attack on Paul is the most serious personal injury suffered by a member of the U.S. Senate since the late Sen. John Stennis (R-MS) was mugged and shot twice outside of his home in Washington, D.C. in 1973.
Stennis recovered from his wounds, and continued to serve in the Senate until his retirement in January 1989.