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Implications of the present bound on the width of the $Θ^{+} (1540)$

Center for Theoretical Physics, Department of Physics and Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

^*Electronic address: jaffe@mit.edu
^†Electronic address: ambarj@mit.edu

Phys. Rev. D 71, 034012 – Published 14 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034012

Abstract

The recently reported $Θ^{+} (1540)$ exotic baryon seems to be very narrow: $Γ (Θ) < 1 M e V$ according to some analyses. Using methods of low energy scattering theory, we develop expectations for the width of the $Θ$ , an elastic resonance in $K N$ scattering in a theory where the characteristic range of interactions is $\sim 1 F e r m i$ . If the $Θ$ is a potential scattering resonance, generated by the forces in the $K N$ channel, its width is hard to account for unless the $K N$ -channel orbital angular momentum is two or greater. If the $Θ$ is generated by dynamics in a confined channel, its coupling to the scattering channel is at least an order of magnitude less than the coupling of the $Λ (1520)$ unless $ℓ \geq 2$ . Either way, if the $Θ$ proves to be in the $K N$ $s$ - or $p$ -wave, new physics must be responsible for its narrow width.

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References (16)

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Implications of the present bound on the width of the $Θ^{+} (1540)$

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Implications of the present bound on the width of the Θ+(1540)

Abstract

Article Text

References (16)

Implications of the present bound on the width of the $Θ^{+} (1540)$