Mass and $KΛ$ coupling of $N^*(1535)$

Details Mass and $KΛ$ coupling of $N^*(1535)$ Mass and $KΛ$ coupling of $N^*(1535)$

2005-03-29

arxiv.org/abs/nucl-th/0503069v1

Phys.Rev.Lett. 96 (2006) 042002

Physics

Nuclear Physics

Nuclear Theory

9 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.042002

Using resonance isobar model and effective Lagrangian approach, from recent BES results on $J/\psi\to\bar pp\eta$ and $\psi\to\bar pK^+\Lambda$, we deduce the ratio between effective coupling constants of $N^*(1535)$ to $K\Lambda$ and $p\eta$ to be $R\equiv g_{N^*(1535)K\Lambda}/g_{N^*(1535)p\eta} =1.3\pm 0.3$. With previous known value of $g_{N^*(1535)p\eta}$, the obtained new value of $g_{N^*(1535)K\Lambda}$ is shown to reproduce recent $pp\to pK^+\Lambda$ near-threshold cross section data as well. Taking into account this large $N^*K\Lambda$ coupling in the coupled channel Breit-Wigner formula for the $N^*(1535)$, its Berit-Wigner mass is found to be around 1400 MeV, much smaller than previous value of about 1535 MeV obtained without including its coupling to $K\Lambda$. The implication on the nature of $N^*(1535)$ is discussed.

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