q-deformed pairing-vibrations(16)

Boson creation operators constructed from linear combinations of q- deformed zero coupled nucleon pair operators acting on the nucleus (A,0), are used to derive pp-RPA equations. The solutions of these equations are the pairing vibrations in (A${\underline

FigureCaptions

Fig.(1a)-Aplotoflefthandsideofequation(17)asafunctionofE=h¯ωforq=eτwithτreal.Theverticalstraightlinesare2 3p1

MeVandh¯ωµ=2.65MeV.

Fig.(1b)-Asin(1a)forτimaginary.

Fig.(2)-ThebreakdownpointvalueofpairinginteractionstrengthGCasafunctionof|τ|forτrealaswellasimaginary.

+Fig.(3a)-Twonucleontransferamplitudeforpopulatingthestates0+1and02of2082=4.15MeV,h¯ων= 2.2Pb

asafunctionofEforτreal.

Fig.(3b)-Asin(3a)forτimaginary.

+Fig.(4)-Theratioofcross-sectionsforpopulatingthestates0+2and01viatwo-neutron

transferin208Pb,σ(0+

2)

2 .The

plotforN=20showstheresultsfordeformedbosonandquasi-bosonapproximationsforτrealalongwiththeexactcalculation,bosonapproximationandquasi-bosonapproximationwithoutdeformation.

Fig.(5b)-Asin(5a)forτimaginary.

Fig.(5c)-Asin(5a)forτ=i0.104indeformedbosonapproximationandforτ=0.15indeformedquasi-bosonapproximation.