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Very recent inelastic $\alpha$-scattering data on the isoscalar monopole anddipole strength distributions in $^{56}$Fe, $^{58}$Ni, and $^{60}$Ni areanalyzed in the relativistic quasiparticle random-phase approximation (RQRPA)with the DD-ME2 effective nuclear interaction (nuclear matter compressionmodulus K$_{nm}= 251$ MeV). In all three nuclei the calculation nicelyreproduces the observed asymmetric shapes of the monopole strength, and thebimodal structure of the dipole strength distributions. The calculated centroidand mean energies are in very good qualitative agreement with the experimentalvalues both for the monopole, and for the low- and high-energy components ofthe dipole transition strengths. It is noted, however, that while DD-ME2reproduces in detail the excitation energies of the giant monopole resonances(GMR) in nuclei with $A \ge 90$, the theoretical centroids are systematicallyabove the experimental values in lighter nuclei with $A \leq 60$. The lattercan be reproduced with an effective interaction with a lower value of K$_{nm}\approx $ 230 MeV but, because of the asymmetric shapes and pronouncedfragmentation of the monopole strength distributions, isoscalar GMR data inlight nuclei cannot provide accurate estimates of the nuclear mattercompression modulus.Comment: 14 pages, 4 figures, submitted to Phys. Rev.

physical review. c. nuclear physics/physical review. c, nuclear physics

Relativistic quasiparticle random-phase approximation description of isoscalar compression modes in open-shell nuclei in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">A</mml:mi><mml:mo>≈</mml:mo><mml:mn>60</mml:mn></mml:mrow></mml:math>mass region

Relativistic quasiparticle random-phase approximation description of isoscalar compression modes in open-shell nuclei in theA≈60mass region