Decay Probability Ratio of Pentaquark Theta^+ State

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dc.creatorChen, Xun
dc.creatorMao, Yajun
dc.creatorMa, Bo-Qiang
dc.date2003-07-31
dc.date2004-08-11
dc.date.accessioned2026-07-07T10:28:54Z
dc.date.available2026-07-07T10:28:54Z
dc.descriptionThe pentaquark state of $Θ^{+}(uudd\bar{s})$ has been observed to decay with two decay modes: $Θ^+\to n K^+$ and $Θ^+ \to p K^0$. The decay probability ratio of the two decay modes is studied with general symmetry consideration of isospin, spin, and parity. We arrive at a result of the ratio $\frac{Γ(Θ^+\to nK^+)}{Γ(Θ^+\to pK^0)} =\frac{(α-β)^2}{(α+β)^2}(\frac{k_1}{k_2})^{2L+1}$, which is valid for the $Θ^+$ state to be a pure isoscalar or isovector state, or an isoscalar and isovector mixing state, or an isotensor state with mixture of isoscalar and isovector components with coefficients $α$ and $β$. The dependence on spin and parity of the pentaquark $Θ^+$ state is found to be small due to small difference between the center of mass decay momenta $k_1$ and $k_2$ of the two decay modes. We also provide an analysis on the constraint of the isospin of $Θ^+$ from the absence of a peak in the $pK^+$ invariant mass distribution in the $γp \to pK^+K^-$ process. Future experimental results about the decay probability ratio may provide information about the properties of the pentaquark $Θ^+$ state.
dc.description8 latex pages, version for publication, a typo corrected
dc.identifierhttps://arxiv.org/abs/hep-ph/0307381
dc.identifierhttp://arxiv.org/abs/hep-ph/0307381
dc.identifierMod.Phys.Lett.A19:2289-2298,2004
dc.identifierdoi:10.1142/S0217732304014781
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177610
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectNuclear Experiment
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleDecay Probability Ratio of Pentaquark Theta^+ State
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