Abstract.
The method of unitary transformations generates five classes of leading-order reducible chiral four-nucleon interactions which involve pion exchanges and a spin-spin contact term. Their first-order contributions to the energy per particle of isospin-symmetric nuclear matter and pure neutron matter are evaluated in detail. For most of the closed four-loop diagrams the occurring integrals over four Fermi spheres can be reduced to easily manageable one- or two-parameter integrals. One finds substantial compensations among the different contributions arising from 2-ring and 1-ring diagrams. Altogether, the net attraction generated by the chiral four-nucleon interaction does not exceed values of -1.3 MeV for densities \( \rho < 2\rho_{0}\).
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Communicated by R. Alkofer
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Kaiser, N., Milkus, R. Reducible chiral four-body interactions in nuclear matter. Eur. Phys. J. A 52, 4 (2016). https://doi.org/10.1140/epja/i2016-16004-7
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DOI: https://doi.org/10.1140/epja/i2016-16004-7