A density variational approach to nuclear giant resonances at zero and finite temperature

Giant resonances in40Ca and48Ca

“…In this work we investigate the sensitivity of the strength function distributions of the isoscalar and isovector giant resonances with multipolarities L = 0-3 of the isotopes 40 Ca and 48 Ca to bulk properties of NM, such as K NM , E sym and the effective mass m*. It is well known that the energies of the compression modes, the isoscalar giant monopole resonance (ISGMR) and isoscalar giant dipole resonance (ISGDR), are very sensitive to the value of K NM [1,3,8].…”

“…Also the energies of the isovector giant resonances, in particular, the isovector giant dipole resonance (IVGDR), are sensitive to the density dependence of E sym [9,10], commonly parameterized in terms of the quantities J, L and K sym , which are the value of E sym (ρ) at saturation density (also known as symmetry energy coefficient), and the quantities directly related to the derivative and the curvature of E sym (ρ) at the saturation density, respectively. Furthermore, information on the density dependence of E sym can also be obtained by studying the isotopic dependence of strength functions, such as the difference between the strength functions of 40 Ca and 48 Ca and between 112 Sn and 124 Sn. We note that the value of the neutron-proton asymmetry parameter δ = (N-Z)/A increases from 40 Ca to 48 Ca by a value of 0.167 which is significantly larger than the change of 0.087 between 112 Sn and 124 Sn.…”

“…Furthermore, information on the density dependence of E sym can also be obtained by studying the isotopic dependence of strength functions, such as the difference between the strength functions of 40 Ca and 48 Ca and between 112 Sn and 124 Sn. We note that the value of the neutron-proton asymmetry parameter δ = (N-Z)/A increases from 40 Ca to 48 Ca by a value of 0.167 which is significantly larger than the change of 0.087 between 112 Sn and 124 Sn.…”

“…Recently the giant resonance region from 9.5 MeV < E x < 40 MeV in 48 Ca was studied with inelastic scattering of 240 MeV α particles at small angles, including 0º.…”

Scaling calculation of isoscalar giant resonances in relativistic Thomas–Fermi theory

“…Semiclassical techniques like nuclear fluid dynamics [24] and the extended Thomas-Fermi method [25,26,27] have been applied to study giant resonances in non-relativistic models. In the relativistic context, the nuclear fluid dynamics approach has been utilized, e.g., in Refs.…”