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Title: Toward establishing low-lying Λ and Σ hyperon resonances with the K ¯ + d → π + Y + N reaction

Journal Article · · Physical Review C
 [1];  [2]
  1. High Energy Accelerator Research Organization (KEK), Tsukuba (Japan). KEK Theory Center, Inst. of Particle and Nuclear Studies (IPNS); IPNS, KEK, Tokai (Japan). J-PARC Branch, KEK Theory Center
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
+ Show Author Affiliations

In this paper, a model for the $$\bar{K}d→πYN$$ reactions with $Y=Λ,Σ$ is developed, aiming at establishing the low-lying Λ and Σ hyperon resonances through analyzing the forthcoming data from the J-PARC E31 experiment. The off-shell amplitudes generated from the dynamical coupled-channels (DCC) model, which was developed in Kamano et al., are used as input to the calculations of the elementary $$\bar{K}N→ \bar{K}N$$ and $$\bar{K}N→πY$$ subprocesses in the $$\bar{K}d→πYN$$ reactions. It is shown that the cross sections for the J-PARC E31 experiment with a rather high incoming-$$\bar{K}$$ momentum, $$|\vec{p}_\bar{K}|=1$$ GeV, can be predicted reliably only when the input $$\bar{K}N→ \bar{K}N$$ amplitudes are generated from a $$\bar{K}N$$ model, such as the DCC model used in this investigation, which describes the data of the $$\bar{K}N$$ reactions at energies far beyond the $$\bar{K}N$$ threshold. We find that the data of the threefold differential cross section $$dσ/(dM_{πΣ}dΩ_{p_n})$$ for the $K^-d → πΣn$ reaction below the $$\bar{K}N$$ threshold can be used to test the predictions of the resonance poles associated with $Λ(1405)$. We also find that the momentum dependence of the threefold differential cross sections for the $K^-d → π^-Λp$ reaction can be used to examine the existence of a low-lying $J^P = 1/2^+Σ$ resonance with a pole mass $$M_R=1457-i39$$ MeV, which was found from analyzing the $K^-p$ reaction data within the employed DCC model.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); Japan Society for the Promotion of Science (JSPS) - KAKENHI
Grant/Contract Number:
AC02-06CH11357; JP25800149
OSTI ID:
1544412
Alternate ID(s):
OSTI ID: 1336972; OSTI ID: 1574986
Journal Information:
Physical Review C, Vol. 94, Issue 6; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

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Cited By (1)

$$Z_c(3900)/Z_c(3885)$$ Z c ( 3900 ) / Z c ( 3885 ) as a virtual state from $$\pi J/\psi -\bar{D}^*D$$ π J / ψ - D ¯ ∗ D interaction journal February 2018

Figures / Tables (16)

FIG. 1(p. 3)figure FIG. 1
FIG. 2(p. 3)figure FIG. 2
FIG. 3(p. 4)figure FIG. 3
FIG. 4(p. 5)figure FIG. 4
FIG. 5(p. 6)figure FIG. 5
FIG. 6(p. 10)figure FIG. 6
FIG. 7(p. 11)figure FIG. 7
FIG. 8(p. 12)figure FIG. 8
FIG. 9(p. 13)figure FIG. 9
TABLE I(p. 13)table TABLE I
FIG. 10(p. 14)figure FIG. 10
FIG. 11(p. 14)figure FIG. 11
FIG. 12(p. 16)figure FIG. 12
FIG. 13(p. 17)figure FIG. 13
FIG. 14(p. 17)figure FIG. 14
$$\bar{K}$$$$N$(p. 18)figure $\bar{K}$$N$

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