The meson-exchange model for the $Λ\barΛ$ interaction

In the present work, we apply the one-boson-exchange potential (OBEP) model to investigate the possibility of Y(2175) and $η(2225)$ as bound states of $Λ\barΛ(^3S_1)$ and $Λ\barΛ(^1S_0)$ respectively. We consider the effective potential from the pseudoscalar $η$-exchange and $η^{'}$-exchange, the scalar $σ$-exchange, and the vector $ω$-exchange and $ϕ$-exchange. The $η$ and $η^{'}$ meson exchange potential is repulsive force for the state $^1S_0$ and attractive for $^3S_1$. The results depend very sensitively on the cutoff parameter of the $ω$-exchange ($Λ_ω$) and least sensitively on that of the $ϕ$-exchange ($Λ_ϕ$). Our result suggests the possible interpretation of Y(2175) and $η(2225)$ as the bound states of $Λ\barΛ(^3S_1)$ and $Λ\barΛ(^1S_0)$ respectively.

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