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1、TheeffectofspontaneouscollapsesonneutrinooscillationsSandroDonadi,∗AngeloBassi,†andLucaFerialdi‡DepartmentofPhysics,UniversityofTrieste,StradaCostiera11,34151Trieste,ItalyandIstitutoNazionalediFisicaNucleare,TriesteSection,ViaValerio2,34127Trieste,ItalyCatalinaCurceanu§INFNL
2、aboratoriNazionalidiFrascati,ViaE.Fermi40,99944Frascati(Roma),ItalyWecomputetheeffectofcollapsemodelsonneutrinooscillations.Theeffectofthecollapseistomodifytheevolutionofthespatialpartofthewavefunctionandwewillshowthatthisindirectlyamountstoachangeontheflavorcomponents.Forthea
3、nalysisweusethemassproportionalCSLmodel,andperformthecalculationtosecondorderperturbationtheory.Aswewillshow,theCSLeffectisverysmall—mainlyduetotheverysmallmassofneutrinos—andpracticallyundetectable.PACSnumbers:03.65.-w03.65.Yz13.15.+garXiv:1207.5997v2[quant-ph]3Jul2013∗sand
4、ro.donadi@ts.infn.it†bassi@ts.infn.it‡ferialdi@ts.infn.it§Catalina.Petrascu@lnf.infn.it2I.INTRODUCTIONThegeneralvalidityofthesuperpositionprincipleofquantummechanicsisquestionedbyanincreasingnumberofscientists[1–4],andissubjecttoanintenseexperimentalverification[5–10].Thepos
5、sibilitythatthesuperpositionprinciplemighthaveonlyalimitedrangeofvalidityisfore-seenbycollapsemodels[11–22],whichpredictsmalldeviationsfromstandardquantummechanics,forallthosecaseswherequantumlinearityplaysafundamentalrole.Neutrinooscillations[23–26]areonesuchacase,andthego
6、alofthisarticleistopresentthetheoreticalanalysisandestimateoftheeffectofspontaneouscollapsesontheoscillatorybehaviorofneutrinos.Apreviousanalysisofthiskindwasproposedin[27],basedonthePenrosemodelofgravityinducedcollapse[28,29].Thismodelhoweverlacksafullyconsistentdynamicaleq
7、uation,andpreviousattemptstofillthisgap[30]havebeencriticized[31].Moreover,asshownin[31],themodelfailswhenappliedtosingleconstituents(protons,electrons,...),sinceinthiscaseitspredictionsareinconflictwithknownexperimentaldata.Therefore,theapplicationofgravityinducedcollapsemod
8、elstoneutrinooscillationsisratherdelicate.Herewewillcomputethespontaneouscollapsee
