Title: Toward establishing low-lying $\mathrm{\Lambda }$ and $\mathrm{\Sigma }$ hyperon resonances with the $\overline{K}+d\to \pi +Y+N$ reaction

Abstract

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.

Authors:

Kamano, H. ^[1]; Lee, T. -S. H. ^[2]

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+ Show Author Affiliations

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

Publication Date:

Wed Dec 21 00:00:00 EST 2016

Research Org.:

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 Org.:

USDOE Office of Science (SC), Nuclear Physics (NP); Japan Society for the Promotion of Science (JSPS) - KAKENHI

OSTI Identifier:

1544412

Alternate Identifier(s):

OSTI ID: 1336972; OSTI ID: 1574986

Grant/Contract Number:  

AC02-06CH11357; JP25800149

Resource Type:

Accepted Manuscript

Journal Name:

Physical Review C

Additional Journal Information:

Journal Volume: 94; Journal Issue: 6; Journal ID: ISSN 2469-9985

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

73 NUCLEAR PHYSICS AND RADIATION PHYSICS