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arXiv · 1402.0965

The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions

L. Coraggio·J. W. Holt·N. Itaco·R. Machleidt·L. E. Marcucci·F. Sammarruca
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Abstract

We compute the energy per particle of infinite symmetric nuclear matter from chiral N3LO (next-to-next-to-next-to-leading order) two-body potentials plus N2LO three-body forces. The low-energy constants of the chiral three-nucleon force that cannot be constrained by two-body observables are fitted to reproduce the triton binding energy and the 3H-3He Gamow-Teller transition matrix element. In this way, the saturation properties of nuclear matter are reproduced in a parameter-free approach. The equation of state is computed up to third order in many-body perturbation theory, with special emphasis on the role of the third-order particle-hole diagram. The dependence of these results on the cutoff scale and regulator function is studied. We find that the inclusion of three-nucleon forces consistent with the applied two-nucleon interaction leads to a reduced dependence on the choice of the regulator only for lower values of the cutoff.

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L. Coraggio, J. W. Holt, N. Itaco, R. Machleidt, L. E. Marcucci, F. Sammarruca. 2014-04-10. The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions. https://doi.org/10.1103/physrevc.89.044321

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