Modeling Nuclear Pasta and the Transition to Uniform Nuclear Matter with the 3D Skyrme-Hartree-Fock Method at Finite Temperature I: Core-Collapse Supernovae
| dc.creator | Stone, W. G. Newton J. R. | |
| dc.date | 2009-04-30 | |
| dc.date.accessioned | 2026-07-07T13:10:56Z | |
| dc.date.available | 2026-07-07T13:10:56Z | |
| dc.description | The first results of a new three-dimensional, finite temperature Skyrme-Hartree-Fock+BCS study of the properties of inhomogeneous nuclear matter at densities and temperatures leading to the transition to uniform nuclear matter are presented. Calculations are carried out in a cubic box representing a unit cell of the locally periodic structure of the matter. A constraint is placed on the two independent components of the quadrupole moment of the neutron density in order to investigate the dependence of the total energy-density of matter on the geometry of the nuclear structure in the unit cell. This approach allows self-consistent modeling of effects such as (i) neutron drip, resulting in a neutron gas external to the nuclear structure, (ii) shell effects of bound and unbound nucleons, (iii) the variety of exotic nuclear shapes that emerge, collectively termed `nuclear pasta' and (iv) the dissolution of these structures into uniform nuclear matter as density and/or temperature increase. In part I of this work the calculation of the properties of inhomogeneous nuclear matter in the core collapse of massive stars is reported. Calculations are performed at baryon number densities of $n_{\rm b}$ = 0.04 - 0.12 fm$^{\rm -3}$, a proton fraction of $y_{\rm p}=0.3$ and temperatures in the range 0 - 7.5 MeV. A wide variety of nuclear shapes are shown to emerge. It is suggested that thermodynamical properties change smoothly in the pasta regime up to the transition to uniform matter; at that transition, thermodynamic properties of the matter vary discontinuously. | |
| dc.description | 43 pages, 16 figures, Physical Review C, accepted | |
| dc.identifier | https://arxiv.org/abs/0904.4714 | |
| dc.identifier | http://arxiv.org/abs/0904.4714 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229139 | |
| dc.subject | Solar and Stellar Astrophysics | |
| dc.subject | Nuclear Theory | |
| dc.title | Modeling Nuclear Pasta and the Transition to Uniform Nuclear Matter with the 3D Skyrme-Hartree-Fock Method at Finite Temperature I: Core-Collapse Supernovae | |
| dc.type | text |