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

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arxiv nucl-th/0503069 v1 pith:SM45YK7F submitted 2005-03-29 nucl-th

classification nucl-th
keywords lambdacouplingvalueeffectivemassobtainedpreviousrecent
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Theoretical study of the $N(1535)$ in the process $\Lambda_c^+\to n\pi^+\pi^0$

    hep-ph 2025-04 conditional novelty 5.0 of 10

    The Lambda_c^+ -> n pi+ pi0 decay is predicted to show peaks near 1500 MeV in the pi0 n and pi+ n invariant mass spectra, tracing the dynamically generated N(1535) resonance.

  2. Hadronic molecules

    hep-ph 2017-04 unverdicted novelty 2.0 of 10

    Hadronic molecules serve as a framework for certain exotic heavy-quark states where nonrelativistic effective field theories enable predictions with controlled uncertainty.

  3. Production of exotic hadrons in $pp$ and nuclear collisions

    hep-ph 2024-11 conditional novelty 1.0 of 10

    A review of exotic-hadron production in pp, pbar-p, and nuclear collisions, arguing that such measurements can discriminate between hadronic-molecule and compact-tetraquark interpretations of states like the X(3872).

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