$\mathrm{\ensuremath{\Xi}}(1690{)}^{\ensuremath{-}}$ production in the ${K}^{\ensuremath{-}}p\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}\mathrm{\ensuremath{\Lambda}}$ reaction process near threshold

Open Access

$Ξ (1690)^{-}$ production in the $K^{-} p \to K^{+} K^{-} Λ$ reaction process near threshold

Jung Keun Ahn and Seung-il Nam

Phys. Rev. D 98, 114012 – Published 14 December 2018

Abstract

We investigate $Ξ (1690)^{-}$ production from the $K^{-} p \to K^{+} K^{-} Λ$ reaction within the effective Lagrangian approach at the tree-level Born approximation. We consider the $s$ - and $u$ -channel $Σ / Λ$ ground states and resonances for the $Ξ$ -pole contributions, in addition to the $s$ -channel $Λ$ , $u$ -channel nucleon pole, and $t$ -channel $K^{-}$ exchange for the $ϕ$ -pole contributions. The $Ξ$ pole includes $Ξ (1320)$ , $Ξ (1535)$ , $Ξ (1690) (J^{p} = 1 / 2^{-})$ , and $Ξ (1820) (J^{p} = 3 / 2^{-})$ . We calculate the Dalitz plot density of ( $d^{2} σ / d M_{K^{+} K^{-}} d M_{K^{-} Λ}$ at $4.2 GeV / c$ ) and the total cross sections for the $K^{-} p \to K^{+} K^{-} Λ$ reaction near the threshold. The calculation results are in good agreement with previously acquired experimental data. Using the parameters from the fit, we present the total and differential cross sections for the two-body $K^{-} p \to K^{+} Ξ (1690)^{-}$ reaction near the threshold. In our calculation, a strong enhancement at backward $K^{+}$ angles is predicted because of the dominant $u$ -channel contribution. We also demonstrate that the Dalitz plot analysis for $p_{K^{-}} = 1.915 - 2.065 GeV / c$ enables us to access direct information regarding $Ξ (1690)^{-}$ production, which can be tested by future $K^{-}$ beam experiments. The possible spin-parity states of $Ξ (1690)^{-}$ are briefly discussed as well.

1 More

Received 24 September 2018

DOI:https://doi.org/10.1103/PhysRevD.98.114012

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Hadron-hadron interactions Strong interaction

Particles & Fields

Authors & Affiliations

Jung Keun Ahn¹ and Seung-il Nam^2,3

¹Department of Physics, Korea University, Seoul 02841, Republic of Korea
²Department of Physics and Institute for Radiation Science & Technology (IRST), Pukyong National University (PKNU), Busan 608-737, Republic of Korea
³Asia Pacific Center for Theoretical Physics (APCTP), Pohang 790-784, Republic of Korea

Article Text

Click to Expand

References

Click to Expand

Issue

Vol. 98, Iss. 11 — 1 December 2018

Reuse & Permissions

Author publication services for translation and copyediting assistance advertisement

Physical Review D

covering particles, fields, gravitation, and cosmology

$Ξ (1690)^{-}$ production in the $K^{-} p \to K^{+} K^{-} Λ$ reaction process near threshold

Jung Keun Ahn and Seung-il Nam

Phys. Rev. D 98, 114012 – Published 14 December 2018

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text

References

Issue

Physical Review D

covering particles, fields, gravitation, and cosmology

Ξ(1690)− production in the K−p→K+K−Λ reaction process near threshold

Jung Keun Ahn and Seung-il Nam

Phys. Rev. D 98, 114012 – Published 14 December 2018

Abstract

Physics Subject Headings (PhySH)

Authors & Affiliations

Article Text

References

Issue

Authorization Required

Other Options

Download & Share

Images

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Reuse & Permissions

Log In

Search

Article Lookup

Paste a citation or DOI

Enter a citation

$Ξ (1690)^{-}$ production in the $K^{-} p \to K^{+} K^{-} Λ$ reaction process near threshold