TY - JOUR

T1 - Quasiparticle interaction in nuclear matter with chiral three-nucleon forces

AU - Holt, J. W.

AU - Kaiser, N.

AU - Weise, W.

N1 - Funding Information:
Work supported in part by BMBF, GSI and by the DFG Cluster of Excellence: Origin and Structure of the Universe. Corresponding author. E-mail address: jholt@ph.tum.de (J.W. Holt).

PY - 2012/2/15

Y1 - 2012/2/15

N2 - We derive the effective interaction between two quasiparticles in symmetric nuclear matter resulting from the leading-order chiral three-nucleon force. We restrict our study to the L=0, 1 Landau parameters of the central quasiparticle interaction computed to first order. We find that the three-nucleon force provides substantial repulsion in the isotropic spin- and isospin-independent component F 0 of the interaction. This repulsion acts to stabilize nuclear matter against isoscalar density oscillations, a feature which is absent in calculations employing low-momentum two-nucleon interactions only. We find a rather large uncertainty for the nuclear compression modulus K due to a sensitive dependence on the low-energy constant c 3. The effective nucleon mass M * on the Fermi surface, as well as the nuclear symmetry energy β, receive only small corrections from the leading-order chiral three-body force. Both the anomalous orbital g-factor δg l and the Landau-Migdal parameter gNN' (characterizing the spin-isospin response of nuclear matter) decrease with the addition of three-nucleon correlations. In fact, δg l remains significantly smaller than its value extracted from experimental data, whereas gNN' still compares well with empirical values. The inclusion of the three-nucleon force results in relatively small p-wave (L=1) components of the central quasiparticle interaction, thus suggesting an effective interaction of short range.

AB - We derive the effective interaction between two quasiparticles in symmetric nuclear matter resulting from the leading-order chiral three-nucleon force. We restrict our study to the L=0, 1 Landau parameters of the central quasiparticle interaction computed to first order. We find that the three-nucleon force provides substantial repulsion in the isotropic spin- and isospin-independent component F 0 of the interaction. This repulsion acts to stabilize nuclear matter against isoscalar density oscillations, a feature which is absent in calculations employing low-momentum two-nucleon interactions only. We find a rather large uncertainty for the nuclear compression modulus K due to a sensitive dependence on the low-energy constant c 3. The effective nucleon mass M * on the Fermi surface, as well as the nuclear symmetry energy β, receive only small corrections from the leading-order chiral three-body force. Both the anomalous orbital g-factor δg l and the Landau-Migdal parameter gNN' (characterizing the spin-isospin response of nuclear matter) decrease with the addition of three-nucleon correlations. In fact, δg l remains significantly smaller than its value extracted from experimental data, whereas gNN' still compares well with empirical values. The inclusion of the three-nucleon force results in relatively small p-wave (L=1) components of the central quasiparticle interaction, thus suggesting an effective interaction of short range.

KW - Chiral nuclear interactions

KW - Fermi liquid theory

KW - Nuclear matter

KW - Quasiparticle interaction

KW - Three-body forces

UR - http://www.scopus.com/inward/record.url?scp=84855787749&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2011.12.001

DO - 10.1016/j.nuclphysa.2011.12.001

M3 - Article

AN - SCOPUS:84855787749

SN - 0375-9474

VL - 876

SP - 61

EP - 76

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

ER -