Strength of Giant Resonances

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.