Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes

Abstract

Infinite nuclear matter is studied by resuming the series of ladder diagrams based on the results developed by us in Ann. Phys. 437, 168741 (2022). The master formula for the energy density is explicitly solved for the case of contact interactions, within a pionless description of the nucleon-nucleon interactions. Renormalized results are obtained which are directly expressed in terms of the nucleon-nucleon phase shifts and mixing angles in partial-wave amplitudes up to an including $G$ waves, with convergence reached under the inclusion of higher partial waves. The energy per particle, density and sound velocity resulting from the ladder series are given for symmetric and neutron matter. This resummation of the ladder diagrams provides a rigorous result that may be used as low-density reference for other parameterizations of $\bar{\mathcal{E}}$ for higher densities.

29 pages, 9 figures

References in corpus (7)

• Theory of ultracold Fermi gases
• Implications of PREX-II on the equation of state of neutron-rich matter
• Strongly paired fermions: Cold atoms and neutron matter
• Multi-physics constraints at different densities to probe nuclear symmetry energy in hyperonic neutron stars
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Ladder resummation of spin 1/2 fermion many-body systems with arbitrary partial-wave content
• Ultracold spin-balanced fermionic quantum liquids with renormalized $P$-wave interactions

Cited by in corpus (2)

• The Science of the Einstein Telescope
• Effective Field Theories for Neutron Stars Physics