4.2 Article Proceedings Paper

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

Journal

NUCLEAR PHYSICS A
Volume 835, Issue 1-4, Pages 67-74

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysa.2010.01.176

Keywords

Kaonic nucleus; super-strong nuclear force; single pole of Lambda(1405)

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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/c(2). 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 (K) over bar nuclear systems are formed by this super-strong nuclear force due to migrating real bosons, (K) over bar, 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 T-22 invariant mass and the conversion T-21 invariant mass. It is of virtual importance to determine whether the Lambda* mass is 1405 MeV or 1420 MeV. The T-21 invariant mass from K- absorption at rest in deuteron can provide decisive information about this Lambda* mass problem.

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