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Chiral approach to nuclear matter: Role of two-pion exchange with virtual delta-isobar excitation | | S. Fritsch
; N. Kaiser
; W. Weise
; | | Date: |
14 Jun 2004 | | Journal: | Nucl.Phys. A750 (2005) 259-293 | | Subject: | nucl-th | | Abstract: | We extend a recent three-loop calculation of nuclear matter in chiral perturbation theory by including the effects from two-pion exchange with single and double virtual $Delta(1232)$-isobar excitation. Regularization dependent short-range contributions from pion-loops are encoded in a few NN-contact coupling constants. The empirical saturation point of isospin-symmetric nuclear matter, $ar E_0 = -16 $MeV, $
ho_0 = 0.16 $fm$^{-3}$, can be well reproduced by adjusting the strength of a two-body term linear in density (and weakening an emerging three-body term quadratic in density). The nuclear matter compressibility comes out as $K = 304 $MeV. The real single-particle potential $U(p,k_{f0})$ is substantially improved by the inclusion of the chiral $pi NDelta$-dynamics: it grows now monotonically with the nucleon momentum $p$. The effective nucleon mass at the Fermi surface takes on a realistic value of $M^*(k_{f0})=0.88M$. As a consequence of these features, the critical temperature of the liquid-gas phase transition gets lowered to the value $T_c simeq 15 $MeV. In this work we continue the complex-valued single-particle potential $U(p,k_f)+i W(p,k_f)$ into the region above the Fermi surface $p>k_f$. The effects of $2pi$-exchange with virtual $Delta$-excitation on the nuclear energy density functional are also investigated. The effective nucleon mass associated with the kinetic energy density is $widetilde M^*(
ho_0)= 0.64M$. Furthermore, we find that the isospin properties of nuclear matter get significantly improved by including the chiral $pi NDelta$-dynamics. | | Source: | arXiv, nucl-th/0406038 | | Services: | Forum | Review | PDF | Favorites | |
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