Investigation of constraints on few-neutron forces in neutron matter by empirical information on the neutron skin of 48Ca and 208Pb

Abstract

The neutron matter equation of state is calculated from two-neutron forces up to fifth order of the chiral expansion and the order-by-order convergence of the predictions is investigated. Based on these equations of state, the binding energies and the neutron and proton density distributions in 208Pb and 48Ca are derived, with particular attention to the neutron skins, the focal point of this paper. Anticipating future experiments which will provide reliable information on the weak charge density in nuclei, the theoretical uncertainties and the possibility of constraining the size of few-neutron forces in neutron matter are discussed.

Revised version accepted for publication in Physical Review C; 9 pages, 4 figures

References in corpus (10)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Equation of state of nuclear matter from empirical constraints
• A phenomenological equation of state for isospin asymmetric nuclear matter

Cited by in corpus (2)

• The kinks in charge radii across $N$ = 82 and 126 revisited
• Properties of ${}^{208}$Pb predicted from the relativistic equation of state in the full Dirac space