Incompressibility of Nuclear Matter from the Giant Monopole Resonance

Youngblood, D. H.; Clark, H. L.; Lui, Y.‐W.

doi:10.1103/physrevlett.82.691

Cited by 376 publications

(484 citation statements)

References 22 publications

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“…Recent experimental data are available for the isoscalar giant monopole resonance in 116 Sn [35]. The solid curve represents the full RRPA strength and it displays a pronounced peak at 16 MeV, in excellent agreement with the measured value of 15.9 MeV [35]. Giant monopole resonances in spherical nuclei are in best agreement with experimental data, when calculated with effective Lagrangians with a nuclear matter compression modulus in the range 250-270 MeV [17,28,29].…”

Section: An Illustrative Case: the Giant Monopole Resonancesupporting

confidence: 75%

The time-dependent relativistic mean-field theory and the random phase approximation

et al. 2001

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The Relativistic Random Phase Approximation (RRPA) is derived from the Time-dependent Relativistic Mean Field (TD RMF) theory in the limit of small amplitude oscillations. In the no-sea approximation of the RMF theory, the RRPA configuration space includes not only the ususal particle-hole ph-states, but also αh-configurations, i.e. pairs formed from occupied states in the Fermi sea and empty negative-energy states in the Dirac sea. The contribution of the negative energy states to the RRPA matrices is examined in a schematic model, and the large effect of Dirac sea states on isoscalar strength distributions is illustrated for the giant monopole resonance in 116 Sn. It is shown that, because the matrix elements of the time-like component of the vector meson fields which couple the αh-configurations with the phconfigurations are strongly reduced with respect to the corresponding matrix elements of the isoscalar scalar meson field, the inclusion of states with unperturbed energies more than 1.2 GeV below the Fermi energy has a pronounced effect on giant resonances with excitation energies in the MeV region. The influence of nuclear magnetism, i.e. the effect of the spatial components of the vector fields is examined, and the difference between the non-relativistic and relativistic RPA predictions for the nuclear matter compression modulus is explained.

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Section: An Illustrative Case: the Giant Monopole Resonancesupporting

confidence: 75%

The time-dependent relativistic mean-field theory and the random phase approximation

et al. 2001

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“…3 the temperatures corresponding to the plateau regions decrease with increasing source mass, an effect that is attributed to the source temperature having reached the Coulomb instability limit [15]. From these systematics it was possible to derive a value of the critical temperature for infinite nuclear matter of 16 ± 1 MeV and a nuclear compressibility constant of K = 232 ± 30 MeV [16] in good agreement with the Giant Monopole Resonance value of K = 230 ± 5 MeV [17].…”

Section: Thermodynamics: the Caloric Curve And Heat Capacitysupporting

confidence: 65%

The nuclear liquid-gas phase transition: Q.E.D

Viola

2004

Nuclear Physics A

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For the past decade, intense experimental effort has been devoted to the search for a liquid-gas phase transition in highly excited nuclei. Now, synthesis of the large body of existing multifragmentation data provides a strong case for identification of this phenomenon. In this presentation we discuss several salient features of the data that support their interpretation in terms of a spinodal liquid-gas phase transition.

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“…One should note, however, that the scaling calculation provides a prediction for the mean value or centroid of the excitation energy of the resonance. To establish a relation between the incompressibility K ∞ and the experimentally measured energies of the monopole mode the most favourable situation is met in heavy nuclei, where the strength of the GMR is less fragmented than in medium and light nuclei [42,49]. If we take into account the excitation energies of 116 Sn, 144 Sm and 208 Pb, according to Table 1 Refs.…”

Section: Numerical Resultsmentioning

confidence: 99%