Article,

The meson-exchange model for the $ŁambdaŁambda$ interaction

, , , and .
(2013)cite arxiv:1302.1770.
DOI: 10.1103/PhysRevD.87.054034

Abstract

In the present work, we apply the one-boson-exchange potential (OBEP) model to investigate the possibility of Y(2175) and $\eta(2225)$ as bound states of $ŁambdaŁambda(^3S_1)$ and $ŁambdaŁambda(^1S_0)$ respectively. We consider the effective potential from the pseudoscalar $\eta$-exchange and $\eta^'$-exchange, the scalar $\sigma$-exchange, and the vector $ømega$-exchange and $\phi$-exchange. The $\eta$ and $\eta^'$ 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 $ømega$-exchange ($Łambda_ømega$) and least sensitively on that of the $\phi$-exchange ($Łambda_\phi$). Our result suggests the possible interpretation of Y(2175) and $\eta(2225)$ as the bound states of $ŁambdaŁambda(^3S_1)$ and $ŁambdaŁambda(^1S_0)$ respectively.

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