Deduction of $M(Sigmapi)$ for $Lambda(1405)$ with mixed $T_{Sigmapileftarrow{K}^{-}p}and{T}_{SigmapileftarrowSigmapi}$ from Hemingway's data

Abstract

We formulated the $Lambda(1405)$ (abbreviated as $Lambd{a}^{\ast }$) $rightarrow(Sigmapi{)}^0$ invariant-mass spectra produced in the $K^{-}+prightarrowSigm{a}^{+}(1660)+p{i}^{-}$, followed by $Sigm{a}^{+}(1660)rightarrowLambda(1405)+p{i}^{+}rightarrowSigmapi+p{i}^{+}$, processes at $p(K^{-})=4.2$ GeV/$c$, in which both the incident channel for a quasi-bound $K^{-}p$ state and its decay process to $(Sigmapi{)}^0$ were taken into account realistically. We calculated $M(Sigmapi)$ spectral shapes using mixed transition matrices, $T_{21}=T_{Sigmapileftarrow{K}^{-}p}$ and $T_{22}=T_{SigmapileftarrowSigmapi}$, for various theoretical models involving $Lambd{a}^{\ast }$. The asymmetric spectra were compared to old experimental data of Hemingway, and it was found that the mixing of the two channels, written as $(1-f),T_{21}+f,T_{22}$, gave a better result than considering the individual channels, yielding $f=0.376_{-0.019}^{+0.021}$, $M(Lambd{a}^{\ast })=1406.6_{-3.3}^{+3.4}$ MeV/$c^2$ and $Gamma=70pm2$ MeV, nearly consistent with the 2014 PDG values.

arXiv comment7 pages, 5 figures, Phys. Rev. C (2015), in press

References in corpus (18)

• Chiral Dynamics of the Two Λ(1405) States
• From Kaon-Nuclear Interactions to Kaon Condensation
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Indication of a deeply bound compact K-pp state formed in the pp -> p Lambda K+ reaction at 2.85 GeV
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• Kaonic nuclei studied based on a new framework of Antisymmetric Molecular Dynamics
• High-density K nuclear systems with isovector deformation
• Invariant-Mass Spectroscopy for Condensed Single- and Double-\kbar Nuclear Clusters to be Formed as Residues in Relativistic Heavy-Ion Collisions
• Baryonic resonances close to the Kbar-N threshold: the case of Lambda(1405) in pp collisions
• Observation of the "$K^{-}pp$"-like structure in the $d({\pi }^{+},K^{+})$ reaction at 1.69 GeV/$c$
• The role of the $\Lambda (1405)$ in the $pp\to p{K}^{+}\Lambda (1405)$ reaction
• Experimental confirmation of the Lambda(1405) Ansatz from resonant formation of a K-p quasi-bound state in K- absorption by 3He and 4He
• Single-pole nature of Lambda (1405) and structure of K-pp
• Formation of the $S=-1$ resonance X(2265) in the reaction $pp->X+K^{+}$ at 2.50 and 2.85 GeV
• Resonant formation of Lambda(1405) by stopped-K- absorption in deuteron
• Kaonic Nuclear Systems KbarN and KbarNN as Decaying States
• Theoretical analysis of Lambda(1405) --> (Sigma pi)^0 mass spectra produced in p+p --> p + Lambda(1405) + K^+ reactions

Cited by in corpus (1)

• Hyperon II: Properties of excited hyperons