Mainz 2012 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 10: Struktur und Dynamik von Kernen
HK 10.3: Vortrag
Montag, 19. März 2012, 17:30–17:45, RW 3
Resummations and chiral dynamics of nuclear matter — •Sebastian Schulteß, Norbert Kaiser, and Wolfram Weise — Physik-Department, Technische Universität München, 85748 Garching, Germany
The equation of state of isospin-symmetric nuclear matter and pure neutron matter is calculated to three-loop order with in-medium chiral perturbation theory, taking into account also two-pion exchange with Δ-isobar excitations. The large empirical S-wave NN-scattering lengths, as = 19 fm and at = −5.4 fm, require a non-perturbative treatment via a resummation of ladder diagrams to all orders. Our resummation method includes (combined) particle-particle and hole-hole rescatterings in the medium. The remaining short range part of the interaction is described by adjustable (p2-dependent) NN-contact terms.
In this framework the saturation properties of symmetric nuclear matter can be well reproduced and the nuclear matter compressibility takes on an improved value in comparison to earlier calculations without resummations. The neutron matter equation of state is particularly improved by the resummations. At low densities the energy per particle follows one half of the kinetic energy, which is a feature of the unitary fermi gas. The results of sophisticated neutron matter calculations can be reproduced up to high neutron densities ρn = 0.4 fm3.
Work supported in part by BMBF, GSI and the DFG Cluster of Excellence “Origin and Structure of the Universe”.