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==Structure== [[Image:Neutron star cross section.svg|thumb|Cross-section of neutron star. Densities are in terms of ''ρ<sub>0</sub>'' the saturation [[Nuclear density|nuclear matter density]], where nucleons begin to touch.]] Current understanding of the structure of neutron stars is defined by existing mathematical models, but it might be possible to infer some details through studies of [[neutron-star oscillations]]. [[Asteroseismology]], a study applied to ordinary stars, can reveal the inner structure of neutron stars by analyzing observed [[Frequency spectrum|spectra]] of stellar oscillations.<ref name="Haensel" /> Current models indicate that matter at the surface of a neutron star is composed of ordinary [[atomic nucleus|atomic nuclei]] crushed into a solid lattice with a sea of [[electron]]s flowing through the gaps between them. It is possible that the nuclei at the surface are [[iron]], due to iron's high [[binding energy]] per nucleon.<ref name="Surface">{{Cite journal |doi=10.1070/pu1999v042n11ABEH000665 |pages=1173–1174 |title=Radio pulsars |date=1999 |last1=Beskin |first1=Vasilii S. |journal=Physics-Uspekhi |volume=42 |issue=11 |bibcode = 1999PhyU...42.1071B |s2cid=250831196 |doi-access=free }}</ref> It is also possible that heavy elements, such as iron, simply sink beneath the surface, leaving only light nuclei like [[helium]] and [[hydrogen]].<ref name="Surface" /> If the surface temperature exceeds {{val|e=6|u=kelvins}} (as in the case of a young pulsar), the surface should be fluid instead of the solid phase that might exist in cooler neutron stars (temperature <{{val|e=6|u=kelvins}}).<ref name="Surface" /> The "atmosphere" of a neutron star is hypothesized to be at most several micrometers thick, and its dynamics are fully controlled by the neutron star's magnetic field. Below the atmosphere one encounters a solid "crust". This crust is extremely hard and very smooth (with maximum surface irregularities on the order of millimeters or less), due to the extreme gravitational field.<ref>{{Cite web|url=http://www.daviddarling.info/encyclopedia/N/neutronstar.html|title=neutron star|first=David|last=Darling|website=www.daviddarling.info|access-date=2009-01-12|archive-date=2009-01-24|archive-url=https://web.archive.org/web/20090124222032/http://daviddarling.info/encyclopedia/N/neutronstar.html|url-status=live}}</ref><ref name=mt-ls/> Proceeding inward, one encounters nuclei with ever-increasing numbers of neutrons; such nuclei would decay quickly on Earth, but are kept stable by tremendous pressures. As this process continues at increasing depths, the [[neutron drip line|neutron drip]] becomes overwhelming, and the concentration of free neutrons increases rapidly. After a [[supernova]] explosion of a [[supergiant]] star, neutron stars are born from the remnants. A neutron star is composed mostly of [[neutron]]s (neutral particles) and contains a small fraction of [[proton]]s (positively charged particles) and [[electron]]s (negatively charged particles), as well as nuclei. In the extreme density of a neutron star, many neutrons are free neutrons, meaning they are not bound in atomic nuclei and move freely within the star's dense matter, especially in the densest regions of the star—the inner crust and core. Over the star's lifetime, as its density increases, the energy of the electrons also increases, which generates more neutrons.<ref name="burrows">Burrows, A.</ref> In neutron stars, the neutron drip is the transition point where nuclei become so neutron-rich that they can no longer hold additional neutrons, leading to a sea of free neutrons being formed. The sea of neutrons formed after neutron drip provides additional pressure support, which helps maintain the star's structural integrity and prevents gravitational collapse. The neutron drip takes place within the inner crust of the neutron star and starts when the density becomes so high that nuclei can no longer hold additional neutrons.<ref name="sorlin2008">Sorlin, O. and Porquet, M. (2008).</ref> At the beginning of the neutron drip, the pressure in the star from neutrons, electrons, and the total pressure is roughly equal. As the density of the neutron star increases, the nuclei break down, and the neutron pressure of the star becomes dominant. When the density reaches a point where nuclei touch and subsequently merge, they form a fluid of neutrons with a sprinkle of electrons and protons. This transition marks the neutron drip, where the dominant pressure in the neutron star shifts from degenerate electrons to neutrons. At very high densities, the neutron pressure becomes the primary pressure holding up the star, with neutrons being non-relativistic (moving slower than the speed of light) and extremely compressed. However, at extremely high densities, neutrons begin to move at relativistic speeds (close to the speed of light). These high speeds significantly increase the star's overall pressure, altering the star's equilibrium state, and potentially leading to the formation of exotic states of matter. In that region, there are nuclei, free electrons, and free neutrons. The nuclei become increasingly small (gravity and pressure overwhelming the [[strong force]]) until the core is reached, by definition the point where mostly neutrons exist. The expected hierarchy of phases of nuclear matter in the inner crust has been characterized as "[[nuclear pasta]]", with fewer voids and larger structures towards higher pressures.<ref>{{cite journal |title=Too much "pasta" for pulsars to spin down |date=2013 |last1=Pons |first1=José A. |first2= Daniele |last2=Viganò |first3=Nanda |last3=Rea |doi=10.1038/nphys2640 |journal=Nature Physics |volume=9 |issue=7 |pages=431–434 |arxiv=1304.6546 |bibcode=2013NatPh...9..431P |s2cid=119253979 }}</ref> The composition of the superdense matter in the core remains uncertain. One model describes the core as [[superfluid]] [[Degenerate matter#Neutron degeneracy|neutron-degenerate matter]] (mostly neutrons, with some protons and electrons). More exotic forms of matter are possible, including degenerate [[strange matter]] (containing [[strange quark]]s in addition to [[up quark|up]] and [[down quark]]s), matter containing high-energy [[pion]]s and [[kaon]]s in addition to neutrons,<ref name="Haensel" /> or ultra-dense [[Degenerate matter#Quark degeneracy|quark-degenerate matter]].
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