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- Title
Feasibility study of the K<sup>+</sup>d → K<sup>0</sup>pp reaction for the Θ<sup>+</sup> pentaquark.
- Authors
Sekihara, Takayasu; Kim, Hyun-Chul; Hosaka, Atsushi
- Abstract
We investigate theoretically the |$K^{0} p$| invariant mass spectrum of the |$K^{+} d \to K^{0} p p$| reaction and scrutinize how the signal of the " |$\Theta ^{+}$| " pentaquark, if it exists, emerges in the |$K^{0} p$| spectrum. The most prominent advantage of this reaction is that we can clearly assess whether the " |$\Theta ^{+}$| " exists or not as a direct-formation production without significant backgrounds, in contrast to other reactions such as photoproduction and |$\pi$| -induced productions. We show that while the impulse or single-step scattering process can cover the " |$\Theta ^{+}$| " energy region with an initial kaon momentum |$k_{\rm lab} \approx 0.40 \text{ GeV} / c$| in the laboratory frame, the contributions from double-step processes may have a potential possibility to reach the " |$\Theta ^{+}$| " energy region with a higher kaon momentum |$k_{\rm lab} \sim 1 \text{ GeV} / c$|. Assuming that the full decay width of the " |$\Theta ^{+}$| " is around |$0.5 \text{ MeV}$| , we predict that the magnitude of the peak corresponding to the " |$\Theta^+$| " is around a few hundred |$\mu \text{b}$| to |$1 \text{ mb}$| with the momentum of the kaon beam |$k_{\rm lab} \approx 0.40 \text{ GeV} / c$| while it is around |$\lesssim 1 ~\mu \text{b}$| with |$k_{\rm lab} \approx 0.85 \text{ GeV} / c$|. Thus, the " |$\Theta^+$| " peak is more likely to be seen at |$k_{\mathrm{lab}} \approx 0.40 \text{ GeV} / c$| than at |$k_{\mathrm{lab}} \approx 0.85 \text{ GeV} / c$|.
- Subjects
KAONS; SINGLE scattering (Optics); PENTAQUARK; PARTICLES (Nuclear physics); DEUTERONS
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2020, Vol 2020, Issue 6, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptaa070