Abstract
We use two-body and three-body nuclear interactions derived in the framework of chiral perturbation theory (ChPT) with and without the explicit ∆ isobar contributions to calculate the energy per particle of symmetric nuclear matter and pure neutron matter employing the microscopic Brueckner–Hartree–Fock approach. In particular, we present nuclear matter calculations using the new fully local in coordinate-space two-nucleon interaction at the next-to-next-to-next-to-leading-order (N3LO) of ChPT with ∆ isobar intermediate states (N3LO∆) recently developed by Piarulli et al. [1]. We compute the β-equilibrium equation of state and determine the neutron star mass-radius and mass-central density sequences. We find that the adopted interactions are able to provide satisfactory properties of nuclear matter at saturation density as well as to fulfill the limit of two-solar mass for the maximum mass configuration as required by recent observations.
Highlights
Chiral effective field theory (EFT) opened a new avenue for a description of nuclear interactions [2, 3, 4]) and nuclear systems consistent with quantum chromodynamics (QCD), the fundamental theory of the strong interaction
We use two-body and three-body nuclear interactions derived in the framework of chiral perturbation theory (ChPT) with and without the explicit ∆ isobar contributions to calculate the energy per particle of symmetric nuclear matter and pure neutron matter employing the microscopic Brueckner–Hartree–Fock approach
All the two-nucleon interactions have been supplemented with three-nucleon forces (TNFs) required to satisfactorily reproduce the empirical saturation point of symmetric nuclear matter
Summary
Chiral effective field theory (EFT) opened a new avenue for a description of nuclear interactions [2, 3, 4]) and nuclear systems consistent with quantum chromodynamics (QCD), the fundamental theory of the strong interaction. The considerable advantage of using such method lies in the fact that two-body, three-body as well as many-body nuclear interactions can be calculated perturbatively, i.e. order by order, according to a well defined scheme based on a lowenergy effective QCD Lagrangian which retains the symmetries of QCD, and in particular the approximate chiral symmetry Within this chiral perturbation theory (ChPT) the details of the QCD dynamics are contained in parameters, the so called low-energy constants (LECs), which are fixed by low-energy experimental data. Piarulli et al [1] have developed a fully local in coordinate-space two-nucleon chiral potential which includes the ∆ isobar intermediate state This new potential represents the fully local version of the minimally non-local chiral interaction reported in Ref. The ∆-full ChPT naturally leads to three-nucleon forces (TNFs) induced by two-pion exchange with excitation of an intermediate ∆ (the celebrated Fujita– Miyazawa three-nucleon force [8])
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
