Journal Article FZJ-2018-06203

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Faddeev approach to the reaction K − d → π Σ n at p K = 1 GeV / c

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2018
Inst. Woodbury, NY

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Abstract: The reaction K−d→πΣn is studied within a Faddeev-type approach, with emphasis on the specific kinematics of the E31 experiment at J-PARC, i.e., K− beam momentum of pK=1 GeV/c and neutron angle of θn=0∘. The employed Faddeev approach requires as main input amplitudes for the two-body subsystems ¯¯¯¯KN→¯¯¯¯KN and ¯¯¯¯KN→πΣ. For the latter, results from recently published chiral unitary models of the ¯¯¯¯KN interaction are utilized. The ¯¯¯¯KN→¯¯¯¯KN amplitude itself, however, is taken from a recent partial-wave analysis. Because of the large incoming momentum of the K−, the ¯¯¯¯KN interaction is probed in a kinematical regime where those chiral potentials are no longer applicable. A comparison of the predicted spectrum for various πΣ charge channels with preliminary data is made and reveals a remarkable agreement as far as the magnitude and the line shape in general is concerned. Noticeable differences observed in the πΣ spectrum around the ¯¯¯¯KN threshold, i.e. in the region of the Λ(1405) resonance, indicate a sensitivity to the details of the employed ¯¯¯¯KN→πΣ amplitudes and suggest that pertinent high-precision data could indeed provide substantial constraints on the structure of the Λ(1405).

Classification:

Contributing Institute(s):
  1. Theorie der Starken Wechselwirkung (IAS-4)
  2. Theorie der starken Wechselwirkung (IKP-3)
Research Program(s):
  1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
  2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)

Appears in the scientific report 2018
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 Record created 2018-10-30, last modified 2023-03-10