On the ground state energy of the delta-function Bose gas

The weak coupling asymptotics, to order $(c/ρ)^2$, of the ground state energy of the delta-function Bose gasmis derived. Here $2c\ge 0$ is the delta-function potential amplitude and $ρ$ the density of the gas in the thermodynamic limit. The analysis uses the electrostatic interpretation of the Lieb-Liniger integral equation.

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