English

Mass and $K\Lambda$ coupling of $N^*(1535)$

Nuclear Theory 2009-11-11 v1

Abstract

Using resonance isobar model and effective Lagrangian approach, from recent BES results on J/ψpˉpηJ/\psi\to\bar pp\eta and ψpˉK+Λ\psi\to\bar pK^+\Lambda, we deduce the ratio between effective coupling constants of N(1535)N^*(1535) to KΛK\Lambda and pηp\eta to be RgN(1535)KΛ/gN(1535)pη=1.3±0.3R\equiv g_{N^*(1535)K\Lambda}/g_{N^*(1535)p\eta} =1.3\pm 0.3. With previous known value of gN(1535)pηg_{N^*(1535)p\eta}, the obtained new value of gN(1535)KΛg_{N^*(1535)K\Lambda} is shown to reproduce recent pppK+Λpp\to pK^+\Lambda near-threshold cross section data as well. Taking into account this large NKΛN^*K\Lambda coupling in the coupled channel Breit-Wigner formula for the N(1535)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 KΛK\Lambda. The implication on the nature of N(1535)N^*(1535) is discussed.

Keywords

Cite

@article{arxiv.nucl-th/0503069,
  title  = {Mass and $K\Lambda$ coupling of $N^*(1535)$},
  author = {B. C. Liu and B. S. Zou},
  journal= {arXiv preprint arXiv:nucl-th/0503069},
  year   = {2009}
}

Comments

9 pages, 4 figures