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arxiv 0711.0494 v2 pith:FVBZXEDL submitted 2007-11-05 hep-ph hep-exnucl-exnucl-th

Is Z^+(4430) a loosely bound molecular state?

classification hep-ph hep-exnucl-exnucl-th
keywords stateboundpotentialdiagramlooselymolecularprimealone
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Since $Z^+(4430)$ lies very close to the threshold of $D^\ast{\bar D}_1$, we investigate whether $Z^+(4430)$ could be a loosely bound S-wave state of $D^\ast{\bar D}_1$ or $D^\ast{\bar D}^\prime_1$ with $J^P=0^-, 1^-, 2^-$, i.e., a molecular state arising from the one-pion-exchange potential. The potential from the crossed diagram is much larger than that from the diagonal scattering diagram. With various trial wave functions, we notice that the attraction from the one pion exchange potential alone is not strong enough to form a bound state with realistic pionic coupling constants deduced from the decay widths of $D_1$ and $D^\prime_1$.

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  1. Observation and investigation of the $T_{c\bar{c}1}(4430)^{+}$ structure in $B^{+} \to \psi(2S) K_{\text{S}}^{0} \pi^{+}$ decays

    hep-ex 2025-11 accept novelty 5.0

    First 4D amplitude analysis of B+ → ψ(2S) K_S0 π+ confirms the exotic T_{c c-bar 1}(4430)+ structure with properties consistent with prior observations in the isospin-related channel.