To answer this, it's important to first understand some fundamentals about what a neutron star is. Normal stars are held up by gas pressure. read more
Yes, under the extreme pressures of a Neutron Star, nucleons are physically touching. The nucleons (proton/neutron) are believed to be touching at the outer core and the inner core, while is core is also believed to contain Strange matter. read more
Interestingly, if you happen to throw any object towards it, the acceleration would be so fast, about 1/3 to 1/2 of the speed of light, that upon collision, the atomic structure would be destroyed and it will turn into some more neutrons added to neutron star. read more
The force is so great in the interior of a neutron star that even atomic nuclei are deconstructed and all that remains is a sea of neutrons, protons and electrons. At the core of a neutron star the force is sufficient to decompose neutrons and protons, resulting in quark matter. read more