Variational calculation of the ppK{sup -} system based on chiral SU(3) dynamics

Journal Article · Thu Jan 15 04:00:00 EST 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.014003· OSTI ID:21202701

Dote, Akinobu ^[1]; Hyodo, Tetsuo ^[2]; Weise, Wolfram ^[2]

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1. High Energy Accelerator Research Organization (IPNS/KEK), 1-1 Ooho, Tsukuba, Ibaraki 305-0801 (Japan)
2. Physik-Department, Technische Universitaet Muenchen, D-85747 Garching (Germany)

The ppK{sup -} system, as a prototype for possible quasibound K nuclei, is investigated using a variational approach. Several versions of energy-dependent effective KN interactions derived from chiral SU(3) dynamics are employed as input, together with a realistic NN potential (Av18). Taking into account theoretical uncertainties in the extrapolations below the KN threshold, we find that the antikaonic dibaryon ppK{sup -} is not deeply bound. With the driving s-wave KN interaction the resulting total binding energy is B(ppK{sup -})=20{+-}3 MeV and the mesonic decay width involving KN{yields}{pi}Y is expected to be in the range 40-70 MeV. Properties of this quasibound ppK{sup -} system (such as density distributions of nucleons and antikaon) are discussed. The {lambda}(1405), as an I=0 quasibound state of K and a nucleon, appears to survive in the ppK{sup -} cluster. Estimates are given for the influence of p-wave KN interactions and for the width from two-nucleon absorption (KNN{yields}YN) processes. With inclusion of these effects and dispersive corrections from absorption, the ppK{sup -} binding energy is expected to be in the range 20-40 MeV, whereas the total decay width can reach 100 MeV but with large theoretical uncertainties.

• OSTI ID: 21202701
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 79; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
BINDING ENERGY
CHIRAL SYMMETRY
CHIRALITY
CORRECTIONS
DECAY
DENSITY
ENERGY DEPENDENCE
EXTRAPOLATION
INCLUSIONS
INTERACTIONS
KAONS MINUS
LAMBDA-1405 BARYONS
MEV RANGE
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
P WAVES
QUASIBOUND STATE
S WAVES
SIMULATION
SU-3 GROUPS
THREE-BODY PROBLEM
VARIATIONAL METHODS