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2021

Polarized solitons in higher-spin wave dark matter

Jain, Mudit, Amin, Mustafa A.

Understand

We first show that the effective non-relativistic theory of gravitationally interacting, massive integer-spin fields (spin-$0$, $1$, and $2$ in particular) is described by a $2s+1$ component Schr\"{o}dinger-Poisson action, where $s$ is the spin of the field.

We then construct $s+1$ distinct, gravitationally supported solitons in this non-relativistic theory from identically polarized plane waves.
Such solitons are extremally polarized, with macroscopically large spin, but no orbital angular momentum.
These $s+1$ solitons form a basis set, out of which partially polarized solitons can be constructed.