Birch Equity Partners, an Atlanta-based private equity firm, has been formed. The new firm will focus on established expansion-stage businesses with growth potential. Vincent M. Oddo will act as managing director and Holcombe Green Jr. will serve as director. Both have years of experience in firm expansion and growth; Green as chairman and CEO at WestPoint Stevens and Oddo as CEO of Birch Communications. R. Kirby Godsey, currently the chairman of Birch Communications, will serve as a director with Birch Equity Partners, as well.