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- W2049673973 abstract "We use a recently improved density-matrix expansion to calculate the nuclear energy density functional in the framework of in-medium chiral perturbation theory. Our calculation treats systematically the effects from $1pi$-exchange, iterated $1pi$-exchange, and irreducible $2pi$-exchange with intermediate $Delta$-isobar excitations, including Pauli-blocking corrections up to three-loop order. We find that the effective nucleon mass $M^*(rho)$ entering the energy density functional is identical to the one of Fermi-liquid theory when employing the improved density-matrix expansion. The strength $F_nabla(rho)$ of the $(vecnabla rho)^2$ surface-term as provided by the pion-exchange dynamics is in good agreement with that of phenomenological Skyrme forces in the density region $rho_0/2 <rho <rho_0$. The spin-orbit coupling strength $F_{so}(rho)$ receives contributions from iterated $1pi$-exchange (of the ``wrong sign'') and from three-nucleon interactions mediated by $2pi$-exchange with virtual $Delta$-excitation (of the ``correct sign''). In the region around $rho_0/2 simeq 0.08 $fm$^{-3}$ where the spin-orbit interaction in nuclei gains most of its weight these two components tend to cancel, thus leaving all room for the short-range spin-orbit interaction. The strength function $F_J(rho)$ multiplying the square of the spin-orbit density comes out much larger than in phenomenological Skyrme forces and it has a pronounced density dependence." @default.
- W2049673973 created "2016-06-24" @default.
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- W2049673973 date "2010-05-01" @default.
- W2049673973 modified "2023-09-30" @default.
- W2049673973 title "Nuclear energy density functional from chiral pion–nucleon dynamics revisited" @default.
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- W2049673973 doi "https://doi.org/10.1016/j.nuclphysa.2010.02.004" @default.
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