Nuclear incompressibility: From finite nuclei to nuclear matter

Isoscalar giant resonances inCa48

“…The extracted B(EL) values for the 2 + and 3 -states are listed in Table II and compared to the values from other measurements [31][32][33][34][35][36]. The B(E2) value for the 3.832 MeV 2 + state is consistent with the recent measurement using 6 Li inelastic scattering [31] and is within the errors of the adopted value [32]. The B(E3) value obtained for the 4.507 MeV 3 -state is lower than the adopted value [33] and is just outside the combined 1σ errors.…”

“…This property of the ISGMR and the variation of the incompressibility coefficient with neutron number can also be used to extract the asymmetry coefficient K sym in the EOS of asymmetric NM [5]. In the analysis of experimental data on E 0 it is common to employ two approaches: (i) Adopting a semiclassical model to relate E 0 to an incompressibility coefficient K A of the nucleus and carry out a Leptodermous (A -1/3 ) expansion of K A , similar to a mass formula, to parameterize K A into volume, surface, symmetry and Coulomb terms [6,7]; and (ii) Carrying out microscopic calculations of the strength function S(E) of the ISGMR, within a fully self consistent mean-field based random phase approximation (RPA), with specific interactions (see the review [8]) and comparing with the experimental data. The values of K NM and K sym , are then deduced from the interaction that best reproduced the experimental data.…”

Finite temperature nuclear response in the extended random phase approximation

“…Figure 2 illustrates the average energy < E >= m 1 /m 0 (solid lines), and the ratios (m 1 /m −1 ) 1/2 (short dashed lines) and (m 3 /m 1 ) 1/2 (long dashed lines) of the monopole, dipole and quadrupole excitations as a function of temperature. The behavior of the average energy of the monopole resonance is particularly interesting, since it may be related to the compressibility coefficient of nuclear matter [31,32].…”

Giant resonances in40Ca and48Ca

“…In early analysis of the experimental data on the ISGMR [11,12], a semiclassical model was adopted in order to relate the energy of the ISGMR to an incompressibility coefficient K A of the nucleus and carry out a Leptodermous (A -1/3 ) expansion of K A , similar to a mass formula, to parameterize K A into volume (K NM ), surface (K S ), symmetry (K τ ) and coulomb (K C ) terms [11,13,14]. Shlomo and Youngblood [14] showed that this type of analysis could not provide a unique solution even including all available world data as of that time.…”