SkyrmeQRPA 2006/8/1-3

(http://www.rarf.riken.go.jp/RIBF/nuclearchart-e.htm) Halo, Skin,Soft dipole,Di-neutronPigmyThreshold effectetcSoft Dipole ModePigmy resonanceDi-neutronHalo

()()Halo, Skin,Soft dipole,Di-neutronPigmyThreshold effectetc RPAHartree-Fock RPA()HHFHres

)

RPAThreshold effectQRPAMunchenPigmy dipole resonanceQRPALow-lying collective quadrupoleQRPA--QRPA()Di-neutron correlation

Skyrme force QRPA p-h interactionp-p interaction QRPA

p-h channelSLy4, (SkM*, SGII, SIII, only for 22O)p-p interactionV0=315[MeV fm-3] 0 = 0.32 fm-3 (E1-dipole)External fieldRMax=15fmlcut=4Ecut=60[MeV]Smoothing constant1.0[MeV]

Residual interaction with velocity dependent termsRenormalization factor Consistent result with M. Yamagami, proceedings of the International Symposium on FRONTIERS OF COLLECTIVE MOTIONS(CM2002)@Aizu, Japan 6-9 Nov. 2002.Test calc.(1)Renormalization factorDiscretized continuum QRPA

E dB(E1)/dE [e2fm2]Ex [MeV](cf. K.F.LIU, N.V.GIAI, Phys.Lett.Vol.65,23(1976))16OSLy4SIII16O E1 dipole excitationTest calc.(2)RPA with Skyrme int.Smoothing constant1.0[MeV]= 0.0 [MeV]GDR peak

dB(E1)/dE [e2fm2/MeV]Ex [MeV] M. Yamagami, proceedings of the International Symposium on FRONTIERS OF COLLECTIVE MOTIONS(CM2002)@Aizu, Japan 6-9 Nov. 2002.= 1.93 [MeV]20OSLy420O E1 dipole excitationTest calc.(3){1,,}Landau-MigdalDiscretized continuum QRPAContinuum QRPA

[e2fm2MeV]dB(E1)/dE [e2fm2/MeV]Ex [MeV]Ex [MeV]22O22OStrength functionEnergy weighted sumSLy4over estimate

r2PppCMr2ppCMQRPAEx [MeV]dB(E1)/dE[e2fm2/MeV]Single excitation?Pigmy?(Collective?)Giant Dipole ResonanceSoft dipole excitation(Di-neutron type)Pairing: Mixed typeMean field: Woods-Saxon

SkyrmeQRPA

Energy weighted sum for 16-22OSLy4Landau-Migdal

Energy weighted sum[e2fm2MeV]SLy4

High angular momentum contributions of the particle-pair transition density in the soft E1 mode.Particle-particle character is dominantin the soft dipole excitation by the dynamical pairing correlation.Soft dipole excitation of neutron-rich nuclei near the drip-lineM.Matsuo, K.Mizuyama, Y.Serizawa :Phys. Rev. C to be published (nucl-th/0408052)Enhancement in the low density region.

CC 0 QRPAShlomo-Bertsch Nucl.Phys.A243(1975)Hamamoto-Sagawa-Zhang Phys.Rev.C53(1996)Etc

Skyrme HFB + Landau-Migdal approx. cQRPAt1,t2Continuum QRPA calc. -- --Skyrme HFB + Landau-Migdal approx. cQRPA QRPA E. Khan, et.al. PRC66(2002)024309 QRPASkyrme int. even term

Low energy E1 strength in O18-22(GSI experiments)(A.Leistenshneider et al. Phys.Rev.Lett. 86(2001)5542)Comparing to experimentsof the previous workWoods-Saxon HFB+cQRPA calc.(M.Matsuo, K.Mizuyama, Y.Serizawa, Phys. Rev. C 71, 064326 (2005) )

CC 0 RPAShlomo-Bertsch Nucl.Phys.A243(1975)Hamamoto-Sagawa-Zhang Phys.Rev.C53(1996)Etc

E1 strength function for 22O22OSLy4{1}{1,}{1,,}Ex [MeV]dB(E1)/dE [e2fm2/MeV]Landau-Migdal= 1.21 [MeV]

Various interactiondB(E1)/dE [e2fm2/MeV]Ex [MeV]22O

E1 strength functions for 16-22OEx [MeV]Ex [MeV]dB(E1)/dE [e2fm2/MeV]= 0.0 [MeV]= 1.98 [MeV]= 1.93 [MeV]= 1.21 [MeV]Skyrme parameter:SLy4

Energy weighted sum and Experimental resultSE1/STRK

Low energy E1 strength in O18-22(GSI experiments)(A.Leistenshneider et al. Phys.Rev.Lett. 86(2001)5542)Comparing to experimentsof the previous workWoods-Saxon HFB+cQRPA calc.(M.Matsuo, K.Mizuyama, Y.Serizawa, Phys. Rev. C 71, 064326 (2005) )