Low-density neutron matter

By A. Gezerlis, J. Carlson. 2009

135 citations recorded by the source corpus.

The properties of low-density neutron matter are important for the understanding of neutron star crusts and the exterior of large neutron-rich nuclei. We examine various properties of dilute neutron matter using quantum Monte Carlo methods, with $s$- and $p$-wave terms in the interaction. Our results provide a smooth evolution of the equation of state and pairing gap from extremely small densities, where analytic expressions are available, up to the strongly interacting regime probed experimentally and described theoretically in cold atomic systems, where ${k}_{F}\ensuremath{\approx}0.5 {\text{fm}}^{\ensuremath{-}1}$ and the pairing gap becomes of the order of magnitude of the Fermi energy. We also present results for the momentum distribution and pair distributions, displaying the same evolution from weak to strong coupling. Combined with previous quantum Monte Carlo and other calculations at moderate densities, these results provide strong constraints on the neutron matter equation of state up to saturation densities.

Subfields: Astronomy and Astrophysics, Geophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f39b051c980e3508bda041a87da5ccd90138ac6f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Hempel
2. Tobias Fischer
3. Armen Sedrakian
4. I. Tews
5. Irina Sagert
6. J. Lattimer
7. J. Schaffner-Bielich
8. John W. Clark Jr.

In Geophysics

1. I. Tews
2. J. Lattimer
3. Armen Sedrakian
4. Tobias Fischer
5. John W. Clark Jr.
6. E. Kolomeitsev
7. A. Ohnishi
8. A. Watts

In Nuclear and High Energy Physics

1. M. Hempel
2. Tobias Fischer
3. I. Tews
4. Y. Suwa
5. Armen Sedrakian
6. John W. Clark Jr.
7. J. Lattimer
8. J. Schaffner-Bielich

Citations in the corpus

• The BCS–BEC crossover: From ultra-cold Fermi gases to nuclear systems (2018, methodology): “Figure 40: (a) Ratio ∆/EF and (b) gap ∆ in neutron matter as a function of the Fermi wave vector kF , as obtained in different QMC calculations (symbols): variational and Green’s function Monte Carlo (GFMC) [36]; determinantal quantum Monte Carlo (DQMC) [35]; auxiliary field diffusion Monte Carlo (A”
• Comparing and contrasting nuclei and cold atomic gases (2013, background): “A theory that takes the effective range correction into account was discussed in (Schwenk & Pethick 2005) while a recent numerical study can be found in (Gezerlis & Carlson 2010).”
• Superfluidity in nuclear systems and neutron stars (2018, methodology): “More recent GFMC computations [231, 233] predict gaps which are about 30% smaller than those obtained with AFDMC.”
• Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy (2016, methodology): “…e.g., self-consistent Green’s function (SCGF) methods (see Drischler et al. 2016a for recent results), Quantum Monte Carlo (QMC) calculations (Gezerlis & Carlson 2010; Gandolfi et al. 2012; Lynn et al. 2016), many-body perturbation theory (MBPT) calculations (Hebeler & Schwenk 2010; Tews et…”
• Symmetry energy impact in simulations of core-collapse supernovae (2013, methodology): “rom ref. [63] at N3LO are shown in Fig. 3 via the gray band. We remark that this band is consistent with many other up-to-date sophisticated models for neutron matter, for example Quantum Monte-Carlo [64], AuxilFischer et al.: Symmetry energy impact in simulations of core-collapse supernovae 5 Table”