From chiral Lagrangians to Landau-Fermi liquid theory of nuclear matter

Friman, Bengt; Rho, Mannque

doi:10.1016/0375-9474(96)00215-1

Cited by 62 publications

(138 citation statements)

References 46 publications

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“…In principle, there should be no problem in including both BR and many-body forces in a way consistent with the tenet of chiral expansion. What one has to do in the presence of such n-body potentials is then to suitably modify the scaling properties of the Lagrangian, since direct and indirect chiral symmetry effects are compounded in physical quantities in a variety of different chiral expansion schemes as illustrated in [49]. A fully consistent way of doing the calculation would be to have both the scaling and many-body potentials treated together with certain constraints, such as thermodynamic consistency, taken into account.…”

Section: Comments and Discussionmentioning

confidence: 99%

Half-Skyrmions and the equation of state for compact-star matter

et al. 2013

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The half-skyrmions that appear in dense baryonic matter when skyrmions are put on crystals modify drastically hadron properties in dense medium and affect strongly the nuclear tensor forces, thereby influencing the equation of state (EoS) of dense nuclear and asymmetric nuclear matter. The matter comprised of half skyrmions has vanishing quark condensate but non-vanishing pion decay constant and could be interpreted as a hadronic dual of strong-coupled quark matter. We infer from this observation combined with certain predictions of hidden local symmetry in low-energy hadronic interactions a set of new scaling laws -called "new-BR" -for the parameters in nuclear effective field theory controlled by renormalization-group flow. They are subjected to the EoS of symmetric and asymmetric nuclear matter, and are then applied to nuclear symmetry energies and properties of compact stars. The changeover from the skyrmion matter to a half-skyrmion matter that takes place after the cross-over density n 1/2 provides a simple and natural field theoretic explanation for the change of the EoS from soft to stiff at a density above that of nuclear matter required for compact stars as massive as ∼ 2.4M⊙. Cross-over density in the range 1.5n0 ∼ < n 1/2 ∼ < 2.0n0 has been employed, and the possible skyrmion half-skyrmion coexistence or cross-over near n 1/2 is discussed. The novel structure of the tensor forces and the EoS obtained with the new-BR scaling is relevant for neutron-rich nuclei and compact star matter and could be studied in RIB (rare isotope beam) machines.

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Section: Comments and Discussionmentioning

confidence: 99%

Half-Skyrmions and the equation of state for compact-star matter

et al. 2013

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“…The most recent works going into this direction are those of G.E. Brown [96], Friman and Rho [97], Brown and Rho [98] and Rho [273].…”

Section: Fermi Liquid Theory and Nuclear Compton Scatteringmentioning

confidence: 99%

Compton scattering by nuclei

et al. 2000

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The concept of Compton scattering by even-even nuclei from giant-resonance to nucleon-resonance energies and the status of experimental and theoretical researches in this field are outlined. The description of Compton scattering by nuclei starts from different complementary approaches, namely from second-order S-matrix and from dispersion theories. Making use of these, it is possible to incorporate into the predicted nuclear scattering amplitudes all the information available from other channels, viz. photon-nucleon and photon-meson channels, and to efficiently make use of models of the nucleon, the nucleus and the nucleon-nucleon interaction. The total photoabsorption cross section constrains the nuclear scattering amplitude in the forward direction. The specific information obtained from Compton scattering therefore stems from the angular dependence of the nuclear scattering amplitude, providing detailed insight into the dynamics of the nuclear and nucleon degrees of freedom and into the interplay between them. Nuclear Compton scattering in the giant-resonance energy-region provides information on the dynamical properties of the in-medium mass of the nucleon. Most prominently, the electromagnetic polarizabilities of the nucleon in the nuclear medium can be extracted from nuclear Compton scattering data obtained in the quasideuteron energy-region. In our description of this latter process special emphasis is laid upon the exploration of many-body and two-body effects entering into the nuclear dynamics. Recent results are presented for two-body effects due to the mesonic seagull amplitude and due to the excitation of nucleon internal degrees of freedom accompanied by meson exchanges. Due to these studies the inmedium electromagnetic polarizabilities are by now well understood, whereas the understanding of nuclear Compton scattering in the ∆-resonance range is only at the beginning. Furthermore, phenomenological methods how to include retardation effects in the scattering amplitude are discussed and compared with model predictions.

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“…• when increasing the BR scaling factor from C = 0.15 to C = 0.22 [30], and repeating our calculations as described above, the repulsive ω exchange dominates the attraction generated by correlated 2π exchange: with increasing density the minimum in • on the other hand, a density dependence of the short-range correlation parameters is found to have only minor impact on our results; in an exploratory calculation we chose…”

Section: Impact Of Chiral Symmetry Restoration On the Central N N mentioning

confidence: 77%

The two-pion exchange NN potential in nuclear matter and nuclear stability

Rapp

Durso

Wambach³

1997

Nuclear Physics A

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A meson exchange model of the ππ interaction which fits free ππ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions results in a marked increase in the s-wave ππ attraction at low energy. The influence of this effect on the nucleon-nucleon interaction is a corresponding increase with density of the N N central potential due to the exchange of two correlated pions, resulting in an N N interaction which fails to saturate. A possible mechanism for restoring the theoretical stability of nuclear matter is explored and found to be effective.

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From chiral Lagrangians to Landau-Fermi liquid theory of nuclear matter

Cited by 62 publications

References 46 publications

Half-Skyrmions and the equation of state for compact-star matter

Half-Skyrmions and the equation of state for compact-star matter

Compton scattering by nuclei

The two-pion exchange NN potential in nuclear matter and nuclear stability

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