Hi, PF: I'm currently about to graduate from my Ph. D. program in Physics and I want to focus my research in theoretical physics. I feel very excited by topics such as Astrophysics and GR, but also low temperature physics, such as superconductivity, bose-einstein condensation, superfluidity, etc. I came across a problem that could, in fact, make use of all these different disciplines, but I don't know what's the current state of art. The problem is hinted in "The Physics of Ultracold Neutrons", by Ignatovich. I've been working with theoretical models that involve UCN in my Ph. D. research. In the first chapter, the author mentions several applications of this new physics. For purposes of UCN storage, Ignatovich is mainly interested in the scattering of neutrons from surfaces; however, he points out at what could be a very interesting problem in which a neutron star could be imagined as a cluster of UCN trapped by its own gravitational field (p.9); he then goes to describe that a system as such could be studied by first imagining it in a oversimplified way as a particle trapped in a very deep quantum well. Due to the immense densities and g-forces, Relativistic Quantum Mechanics (RQM) would have to be used. The scattering properties of the UCN in such a system represent an interesting astrophysical problem (p. 11) Is there an astrophysicist, astronomer, or physicist who could tell me if neutron star systems have been modeled in this fashion? Or could he/she/they lead me to literature where I could find out more about the current state of the problem? I've started to study RQM by myself and I have spent some time studying the physics of neutron stars, but so far, I haven't found any referral to a study bridging UCN and neutron stars (except for the above comments from Ignatovich). Thanks in advance!