Low energy K ̄ N interactions and Faddeev calculation of the K^{} d scattering length in isospin and particle bases
Abstract
K ̄ N interactions are investigated via an effective nonlinear chiral mesonbaryon Lagrangian. The adjustable parameters are determined by a fitting procedure on the K^{} p threshold branching ratios and total crosssection data for p^{lab }_{K } ⩽250 MeV/c . We produce predictions for the Σπ mass spectrum, and scattering lengths a _{K p} , a_{n} ( K^{} n→ K^{} n) , a^{∘}_{n} ( K̄ ^{∘} n→ K̄ ^{∘} n) , and a_{ex} ( K^{} p→ K̄ ^{∘} n) . The K ̄ N amplitudes thus obtained, as well as those for other twobody channels ( πN , NN , and YN ), are used as input to predict the scattering length A _{K d} , for which we have devised a relativistic version of the threebody Faddeev equations. Results for all two and threebody coupled channels are reported both in isospin and particle bases. All available K ̄ N data are well reproduced and our best results for the K^{} p and K^{} d scattering lengths are a _{K p} =(0.90+i0.87) fm and A _{K d} =(1.80+i1.55) fm.
 Publication:

Physical Review C
 Pub Date:
 December 2003
 DOI:
 10.1103/PhysRevC.68.064001
 arXiv:
 arXiv:nuclth/0307067
 Bibcode:
 2003PhRvC..68f4001B
 Keywords:

 11.80.Jy;
 13.75.Jz;
 13.75.n;
 Manybody scattering and Faddeev equation;
 Kaonbaryon interactions;
 Hadroninduced low and intermediateenergy reactions and scattering;
 Nuclear Theory
 EPrint:
 31 pages, submitted to Phys. Rev. C