Explaining B-Field of N-Star: How Neutron Stars Have Magnetic Fields

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Neutron stars, despite being primarily composed of neutrons, contain other elements and a conductive superfluid that contribute to their magnetic fields. The presence of free electrons in the star's crust allows for significant electrical conductivity, which, combined with high spin rates, generates strong magnetic fields. The magnetic poles can differ from the rotational poles due to the complex internal structure and dynamics of the star. The maximum mass of neutron stars is estimated to be around 1.5 solar masses, influenced by factors such as hyperon condensation. Understanding these dynamics is crucial for comprehending the behavior and characteristics of neutron stars.
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Can someone explain to me how a neutron star (I'm assuming that it has no charge even on the microscopic level) can have a magnetic field? And even if I assume that there is some residual charge left after the collapse, how could the magnetic poles point in significantly different direction from the rotational poles?

My only conjecture that I could come up with is that the quark spins in the neutrons themselves are all alligned (from one neutron to the next).
 
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turin said:
Can someone explain to me how a neutron star (I'm assuming that it has no charge even on the microscopic level) can have a magnetic field? And even if I assume that there is some residual charge left after the collapse, how could the magnetic poles point in significantly different direction from the rotational poles?

My only conjecture that I could come up with is that the quark spins in the neutrons themselves are all alligned (from one neutron to the next).
The first part of an answer is that a neutron star is not composed of just neutrons as most descriptions say. The whole star has a "structure", and a significant portion is other elements starting with an "atmosphere and upper crust".There are lots of other elements (nuclei with free electrons = plasma), so it isn't all neutrons yet. At the top of the crust, the nuclei are mostly iron 56 and lighter elements, but deeper down there is a conductive superfluid which can and does create a huge magneto effect, causing the magnetic field. See the neat chart at: http://www.lsw.uni-heidelberg.de/users/mcamenzi/NS_Mass.html for an example. (I like the chart, but don't agree with the "mass limit" part though)

There is no such thing as "typical" when referring to neutron stars, or any other kind, but in a typical neutron star the surface gravity is ~10^11 times Earth's, and the magnetic field is ~10^12 Gauss. At densities of ~10^6 g/cm^3 the electrons become degenerate causing huge electrical and thermal conductivities because the electrons can travel long distances before interacting. Add this to a high spin-rate and you have a great magneto causing a big-time magnetic field.
 
Hyperoneutronium...

Independent of the details, Glendenning found a maximum possible mass for neutron stars of only 1.5 solar masses (nucl-th/0009082; astro-ph/0106406).


According to various neutron star core theories, hyperon core saturation (hyperon condensation), results in the reduction of the neutron star maximum mass, resulting in this estimation of the maximum mass of 1.5 M_\odot.

Results from (TOV) equation of states for spherically symmetric compact stars: (astro-ph/0106406, page 11)

M_n = 1.649 M_\odot - neutron star
\rho(0) = 7.7n_o

M_n = 1.789 M_\odot, - hyperstar (pure hyperons)
\rho(0) = 5.16n_o

When hyperon condensation is included in the (TOV) equation of state (EoS), the neutron star maximum mass is attained at an earlier central density:
M_n = 1.571 M_\odot,
\rho(0) = 4.49n_o

Therefore, the estimate of 1.571 M_\odot is a spherically symmetric static hybrid (mixed phase) of a neutron star with a hyperon core.

Reference:
http://arxiv.org/abs/nucl-th/0009082
http://arxiv.org/abs/astro-ph/0106406
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