Asymptotic profile of least energy solutions to the nonlinear Schr\"odinger-Bopp-Podolsky system

Consider the following nonlinear Schr\"odinger--Bopp--Podolsky system in R³: \[ {cases} - Δ v + v + φ v = v |v|p - 2; \\ β^2 Δ^2 φ - Δ φ = 4 π v^2, {cases} \] where β > 0 and $3 < p < 6$, the unknowns being v, φ R³ → R. We prove that, as β → 0 and up to translations and subsequences, least energy solutions to this system converge to a least energy solution to the following nonlinear Schr\"odinger--Poisson system in R³: \[ {cases} - Δ v + v + φ v = v |v|p - 2; \\ - Δ φ = 4 π v^2. {cases} \]