Cluster physics and the importance of forbiddenness

摘要

WereviewtheconceptofforbiddennessasintroducedbySmirnovandYuM.Tchuvil'sky[1],whichstatesthatmostofthepropertiesofnuclearreactionsandclusterstructureisbasedonstructuraleffects(Pauliexclusionprinciple).Thisbecomesalsoclearwhenonetriestoobtainthegroundstateoftheunitednucleusbytwoheavyclusters,whichisnotpossiblewhenallexcitationsareputintotherelativemotion.Smirnovetal.introducedtheconceptofforbiddenness,whichisdefinedastheminimalnumberofrelativeoscillationquantawhichhavetobeshiftedtointernalexcitationsoftheclusters,suchthatthegroundstatecanbereached.WeshowthatSmirnovetal.committedanderrorinthederivation,leadingustoreevaluatethederivationoftheforbiddenness.Wededucethecorrectexpressionfortheforbiddenness,leadingtoasimpleinterpretationandimplementationinaclustermodelandsomeapplicationsarepresented...