Single-pole nature of Lambda (1405) and structure of K-pp

Abstract

We have studied the structure of K- pp by solving this system in a variational treatment, starting from ansatz that Lambda(1405) is a K-p quasi-bound state, Lambda* with mass 1405 MeV/c2. The structure of K-pp reveals a molecular feature, namely, the K- in an "atomic center", Lambda*, plays a key role in producing strong covalent bonding with the other proton. Deeply bound Kbar nuclear systems are formed by this "super-strong" nuclear force due to migrating real bosons, Kbar, a la Heitler-London-Heisenberg, which overcompensates the stiff nuclear incompressibility. Theoretical background of the Lambda (1405) ansatz is discussed in connection with the double-pole picture of Lambda (1405) based on chiral SU(3) dynamics. Detailed analysis reveals single-pole nature of the observable Lambda (1405). There are two kinds of Sigma pi invariant masses experimentally observable, the usual T22 invariant mass and the conversion T21 invariant mass. It is of vital importance to determine whether the Lambda* mass is 1405 MeV or 1420 MeV. The T21 invariant mass from K- absorption at rest in deuteron can provide decisive information about this Lambda* mass problem.

8 pages, 4 figures, Proc. Hyp-X

References in corpus (13)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Lineshape of the Lambda(1405) Hyperon Measured Through its Sigma0 pion0 Decay
• The role of the $\Lambda (1405)$ in the $pp\to p{K}^{+}\Lambda (1405)$ reaction
• Super strong nuclear force caused by migrating Kbar mesons - Revival of the Heitler-London-Heisenberg scheme in kaonic nuclear clusters
• Experimental confirmation of the Lambda(1405) Ansatz from resonant formation of a K-p quasi-bound state in K- absorption by 3He and 4He
• Emission spectra and invariant masses of Lambda and p in the stopped-K-NN absorption process in 4He and 6Li
• Resonant formation of Lambda(1405) by stopped-K- absorption in deuteron
• Kaonic Nuclear Systems KbarN and KbarNN as Decaying States

Cited by in corpus (14)

• Measurement of the Sigma pi photoproduction line shapes near the Lambda(1405)
• DN interaction from meson exchange
• Spin and parity measurement of the Lambda(1405) baryon
• Experimental confirmation of the Lambda(1405) Ansatz from resonant formation of a K-p quasi-bound state in K- absorption by 3He and 4He
• Role of five-quark components in radiative and strong decays of the Lambda(1405) resonance
• Understanding the Nature of $\Lambda (1405)$ through Regge Physics
• Resonant formation of Lambda(1405) by stopped-K- absorption in deuteron
• Are the chiral based $\bar{K}N$ potentials really energy dependent?
• The Octet Meson and Octet Baryon Interaction with strangeness and the $\Lambda (1405)$
• Theoretical analysis of Lambda(1405) --> (Sigma pi)^0 mass spectra produced in p+p --> p + Lambda(1405) + K^+ reactions
• Possibility of cold nuclear compression in antiproton-nucleus collisions
• Application of the Uniformized Mittag-Leffler Expansion to $\Lambda (1405)$
• Renormalization of Unitarized Weinberg-Tomozawa Interaction without On-shell Factorization and $I=0$ $\bar{K}N$ - $\pi \Sigma$ Coupled Channels
• Deduction of $M(Sigmapi)$ for $Lambda(1405)$ with mixed $T_{Sigmapileftarrow{K}^{-}p}and{T}_{SigmapileftarrowSigmapi}$ from Hemingway's data