Density matrix expansion for the isospin- and momentum-dependent MDI interaction

Xu, Jun; Ko, Che Ming

doi:10.1103/physrevc.82.044311

Cited by 49 publications

(106 citation statements)

References 41 publications

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“…The x parameter in the MDI interaction is introduced to vary the density dependence of the nuclear symmetry energy while keeping other properties of the nuclear equation of state fixed [36], and it can be adjusted to mimic the predictions of microscopic and/or phenomenological many-body theories on the density dependence of nuclear matter symmetry energy. We would like to point out that the MDI interaction has been extensively used in the transport model for studying isospin effects in intermediate-energy heavy-ion collisions induced by neutron-rich nuclei [36,[110][111][112][113][114][115][116][117], in the study of the thermal properties of asymmetric nuclear matter [118,119], and in the study of compact star physics [24,120,121]. In particular, the isospin diffusion data from NSCL/MSU have constrained the value of x to between 0 and −1 for nuclear matter densities less than about 1.2ρ 0 [36].…”

Section: Isospin-and Momentum-dependent MDI Interactionmentioning

confidence: 99%

Single-nucleon potential decomposition of the nuclear symmetry energy

et al. 2012

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The nuclear symmetry energy $E_{sym}(\rho)$ and its density slope $L(\rho)$ can be decomposed analytically in terms of the single-nucleon potential in isospin asymmetric nuclear matter. Using three popular nuclear effective interaction models which have been extensively used in nuclear structure and reaction studies, namely, the isospin and momentum dependent MDI interaction model, the Skyrme Hartree-Fock approach and the Gogny Hartree-Fock approach, we analyze the contribution of different terms in the single-nucleon potential to the $E_{sym}(\rho)$ and $L(\rho)$. Our results show that the observed different density behaviors of $E_{sym}(\rho)$ for different interactions are essentially due to the variation of the symmetry potential $U_{sym,1}(\rho,k)$. Furthermore, we find that the contribution of the second-order symmetry potential $U_{sym,2}(\rho,k)$ to the $L(\rho)$ generally cannot be neglected. Moreover, our results demonstrate that the magnitude of the $U_{sym,2}(\rho,k)$ is generally comparable with that of $U_{sym,1}(\rho,k)$, indicating the second-order symmetry potential $U_{sym,2}(\rho,k)$ may have significant corrections to the widely used Lane approximation to the single-nucleon potential in extremely neutron(proton)-rich nuclear matter.Comment: 16 pages, 13 figures, 1 big table. Results of BSk14-17, Rsigma-fit, and Gsigma-fit in the big table updated, typos fixed. Published version in PR

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Section: Isospin-and Momentum-dependent MDI Interactionmentioning

confidence: 99%

Single-nucleon potential decomposition of the nuclear symmetry energy

et al. 2012

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“…(1) can be obtained from the following effective NN interaction within Hartree-Fock approach [4,38] v( r 1 , r 2 ) = 1 6…”

Section: The Improved Isospin-and Momentum-dependent Interactionmentioning

confidence: 99%

“…The values of the parameters t 3 , γ, W , G, H, M , and µ can be uniquely determined from A l , A u , B, C l , C u , Λ, and σ [38]. The x parameter is related to the value of x 3 , i.e., the relative contribution of the isospin-singlet and the isospin-triplet channel of the density-dependent interaction, while the values of y and z are related to those of W , G, H, and M and are thus determined by the different spin-isospin channels of the finite-range interaction.…”

Section: The Improved Isospin-and Momentum-dependent Interactionmentioning

confidence: 99%

Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction

Chen

2015

Phys. Rev. C

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Thermal properties of asymmetric nuclear matter, including the temperature dependence of the symmetry energy, single-particle properties, and differential isospin fractionation, are investigated with different neutron-proton effective mass splittings using an improved isospin-and momentumdependent interaction. In this improved interaction, the momentum-dependence of the isoscalar single-particle potential at saturation density is well fitted to that extracted from optical model analyses of proton-nucleus scattering data up to nucleon kinetic energy of 1 GeV, and the isovector properties, i.e., the slope of the nuclear symmetry energy, the momentum-dependence of the symmetry potential, and the symmetry energy at saturation density can be flexibly adjusted via three parameters x, y, and z, respectively. Our results indicate that the nucleon phase-space distribution in equilibrium, the temperature dependence of the symmetry energy, and the differential isospin fractionation can be significantly affected by the isospin splitting of nucleon effective mass.

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“…The MDI mean-field potential comes from Hartree-Fock calculations using a modified Gogny force including a zerorange effective three-body interaction and a finite-range Yukawa-type two-body interaction [49,55,56]. The variable x is introduced to mimic different forms of the symmetry energy predicted by various many-body theories without changing any properties of symmetric nuclear matter and the value of E sym (ρ 0 ).…”

Section: Nuclear Symmetry Energy and Initialization In Ibuu11mentioning

confidence: 99%

Influence of neutron-skin thickness on the π−/π+ ratio in Pb + Pb collisions

Wei

et al. 2014

Phys. Rev. C

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Within an isospin-and momentum-dependent transport model (IBUU11) using as an input nucleon density profiles from Hartree-Fock calculations based on a modified Skyrme-like (MSL) model, we study the influence of the uncertainty of the neutron skin thickness on the π − /π + ratio in both central and peripheral Pb + Pb collisions at beam energies of 400 MeV/nucleon and 1000 MeV/nucleon. Within the current experimental uncertainty range of neutron skin in 208 Pb, while the neutron skin effect on the π − /π + ratio is negligible in central reactions at both energies, it increases gradually with increasing impact parameter and becomes comparable with or even larger than the symmetry energy effect in peripheral collisions especially at 400 MeV/nucleon. Moreover, we find that while the π − /π + ratio is larger with a softer E sym (ρ) in central collisions, above certain impact parameters depending on the size of the neutron skin, a stiffer E sym (ρ) can lead to a larger π − /π + ratio as most of the pions are produced at densities below the saturation density in these peripheral reactions. Therefore, a clear impact parameter selection is important to extract reliable information about the E sym (ρ) at suprasaturation densities (size of neutron skin) from the π − /π + ratio in central (peripheral) heavy-ion collisions.

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Density matrix expansion for the isospin- and momentum-dependent MDI interaction

Cited by 49 publications

References 41 publications

Single-nucleon potential decomposition of the nuclear symmetry energy

Single-nucleon potential decomposition of the nuclear symmetry energy

Thermal properties of asymmetric nuclear matter with an improved isospin- and momentum-dependent interaction

Influence of neutron-skin thickness on the π−/π+ ratio in Pb + Pb collisions

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