Thereisatypeofnodalsurfaceimposedbysymmetryonwavefunctions.Thesesurfacesarecrucialtotheorderingoflow-lyingstates.Basedonananalysisofthistypeofsurfaceandbasedonexistingtheoreticalresults,thefeatureofthelow-lyingspectrumoftheHe-tetramerisstudied,andthecandidatesofboundstatesandnarrowresonancesaresuggested.