Coupled channel Faddeev calculations of a K̄Nπ quasibound state

A. Gal; H. Garcilazo

doi:10.1016/j.nuclphysa.2011.06.022

Coupled channel Faddeev calculations of a K̄Nπ quasibound state

A. Gal^*
, H. Garcilazo

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

The K̄Nπ system is studied using separable interactions fitted to data available on the s-wave K̄N-πY subsystem and the p-wave πN, πY, ππ and πK̄ subsystems. Three-body K̄Nπ-πYπ coupled channel Faddeev equations with relativistic kinematics are solved in search for poles in the complex energy plane. A K̄Nπ quasibound pole with quantum numbers I(J^P)=1(3/2π) is found near and below the K̄Nπ threshold, its precise location depending sensitively on the poorly known shape of the p-wave πY interaction. This K̄Nπ quasibound state suggests the existence of a D₁₃ π resonance with width about 60 MeV near threshold (Mπ1570 MeV), excluding meson absorption contributions.

Original language	English
Pages (from-to)	153-166
Number of pages	14
Journal	Nuclear Physics A
Volume	864
Issue number	1
DOIs	https://doi.org/10.1016/j.nuclphysa.2011.06.022
State	Published - 1 Aug 2011

Keywords

Faddeev equations
Kaon-baryon interactions
Meson-meson interactions
Pion-baryon interactions

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10.1016/j.nuclphysa.2011.06.022

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title = "Coupled channel Faddeev calculations of a {\=K}Nπ quasibound state",

abstract = "The {\=K}Nπ system is studied using separable interactions fitted to data available on the s-wave {\=K}N-πY subsystem and the p-wave πN, πY, ππ and π{\=K} subsystems. Three-body {\=K}Nπ-πYπ coupled channel Faddeev equations with relativistic kinematics are solved in search for poles in the complex energy plane. A {\=K}Nπ quasibound pole with quantum numbers I(JP)=1(3/2π) is found near and below the {\=K}Nπ threshold, its precise location depending sensitively on the poorly known shape of the p-wave πY interaction. This {\=K}Nπ quasibound state suggests the existence of a D13 π resonance with width about 60 MeV near threshold (Mπ1570 MeV), excluding meson absorption contributions.",

keywords = "Faddeev equations, Kaon-baryon interactions, Meson-meson interactions, Pion-baryon interactions",

author = "A. Gal and H. Garcilazo",

year = "2011",

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doi = "10.1016/j.nuclphysa.2011.06.022",

language = "אנגלית",

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journal = "Nuclear Physics A",

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TY - JOUR

T1 - Coupled channel Faddeev calculations of a K̄Nπ quasibound state

AU - Gal, A.

AU - Garcilazo, H.

PY - 2011/8/1

Y1 - 2011/8/1

N2 - The K̄Nπ system is studied using separable interactions fitted to data available on the s-wave K̄N-πY subsystem and the p-wave πN, πY, ππ and πK̄ subsystems. Three-body K̄Nπ-πYπ coupled channel Faddeev equations with relativistic kinematics are solved in search for poles in the complex energy plane. A K̄Nπ quasibound pole with quantum numbers I(JP)=1(3/2π) is found near and below the K̄Nπ threshold, its precise location depending sensitively on the poorly known shape of the p-wave πY interaction. This K̄Nπ quasibound state suggests the existence of a D13 π resonance with width about 60 MeV near threshold (Mπ1570 MeV), excluding meson absorption contributions.

AB - The K̄Nπ system is studied using separable interactions fitted to data available on the s-wave K̄N-πY subsystem and the p-wave πN, πY, ππ and πK̄ subsystems. Three-body K̄Nπ-πYπ coupled channel Faddeev equations with relativistic kinematics are solved in search for poles in the complex energy plane. A K̄Nπ quasibound pole with quantum numbers I(JP)=1(3/2π) is found near and below the K̄Nπ threshold, its precise location depending sensitively on the poorly known shape of the p-wave πY interaction. This K̄Nπ quasibound state suggests the existence of a D13 π resonance with width about 60 MeV near threshold (Mπ1570 MeV), excluding meson absorption contributions.

KW - Faddeev equations

KW - Kaon-baryon interactions

KW - Meson-meson interactions

KW - Pion-baryon interactions

UR - https://www.scopus.com/pages/publications/79960640278

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DO - 10.1016/j.nuclphysa.2011.06.022

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AN - SCOPUS:79960640278

SN - 0375-9474

VL - 864

SP - 153

EP - 166

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1

ER -

Coupled channel Faddeev calculations of a K̄Nπ quasibound state

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Keywords

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