Strength of Giant Resonances

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E GMR =ħ(K A /m) 1/2: mean square nuclear radiusm: nucleon massK A: compressibility of nucleusCompressibility of Nuclear MatterSimple Picture: Leptodermous ExpansionK A =K NM + K Surf A -1/3 +K vs ((N-Z)/A) 2 +K Coul *Z 2 /A 4/3K vs = K Sym + L(K’/K v -6)Where K NM : curvature of E/A around oK Sym : curvature of symmetry energyNote that E GMR depends on K NM AND K Sym !The Right Way to get K NMCalculate E GMR using effective interactions(each results in a specific K NM )Compare to experiment!Vretenar et al. PRC 68,024310(2003).Agrawal et al. PRC 68,031304(2003).Colò et al. PRC 70,024307(2004).Role of K v and K Sym in Infinite nuclear matter.
Microscopic Calculations:Non_Relativistic:Skyrme, Gogny effective interactions.Relativistic:NL1, NL3, etc. parameter sets.280Compare calculated to experimental EK nm obtained by comparing GMR energies and RPA calculations withGognyinteraction.GMR26024 Mg)40 Ca90 Zr144 SmKnm =231+-5 MeVKnm(MeV240208 Pb220116 Sn28 Si dhy et al. PRL82,691 (1999)dhy et al. PRC80,064318 (2009)2000 50 100 150 200250A24 Mg, 28 Si Péru,Goutte,Berger,NPA788, 44(2007)QuasiParticle RPA-HFB Gogny D1SK NM interaction dependent.Symmetry Energy dependence.Present: K NM ~ 220-240 MeV
Page 1 and 2: Giant ResonancesFirst Experiments:G
Page 3 and 4: Shape Oscillations“Giant Resonanc
Page 5: 1970: Only Dipole had been observed
Page 9 and 10: One in particular:Isoscalar Giant M
Page 11: Use an alpha particle beam to excit
Page 14 and 15: Monopole Enhanced at 0 o .0.30 o Cr
Page 16 and 17: Measure over the minimum in the mon
Page 19: Built:New cyclotron - higher energy
Page 26: Nuclear Matter Equation of StateA p
Page 29 and 30: Inelastic Scattering to Giant Reson
Page 31 and 32: To study GMR in 27 Si6LiStops in ta
Page 33 and 34: Other Monopole ThingsFraction E0 EW
Page 35: Nuclear equation of state influence

Strength of Giant Resonances

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