Effects of boundary conditions on the core-halo mass scaling relation of fuzzy dark matter structures

We simulate multicore merger of fuzzy dark matter in a periodic domain until it relaxes and forms the typical core-halo structure, found both in small domain analyses as well as in structure formation simulations. Using a reference potential gauge invariance of the Schr & ouml;dinger-Poisson system of equations, we use different values of the reference gravitational potential at the boundaries and illustrate how it affects the core-halo scaling relation of the resulting core-halo structure. This result demonstrates that using different boundary conditions for the reference gravitational potential in various simulations may contribute to the diversity of the scaling relation.