HYP2018: 13th International Conference on Hypernuclear and Strange Particle Physics

Isospin Given Charge Formalism for Three-Body Nuclear Systems

Not scheduled

15m

2nd Floor

Abstract Submission

Speaker

Dr Vladimir Suslov (North Carolina Central University)

Description

The nuclear three-body systems $AAB$ having two identical particles are studied based on the configuration space Faddeev equations. The three-nucleon systems and the kaonic $NN{\bar K}$ clusters are considered. For these systems, we propose two models related to isospin formalism. The first one is based on traditional isospin model and the second one is based on isospin given charge formalism. The relation between the models is defined by unitary transformation for corresponding isospin bases. The results of calculations for bound and scattering states, performed within the $AAA$ and $AAB$ representation for three-nucleon systems, are presented. The charge symmetry breaking effect is described within framework of $AAB$ model with $s$-wave potentials. Analogically, we discuss the isospin formalism, the given charge formalism and the particle representation for $NN{\bar K}$ systems. In particular, we show that the coupling [1] between $ppK^-$ and $pn{\bar K}^0$ is artificial within the given charge formalism. The charge related basis elements, defined as (++-) and (+-+), correspond to the channels $ppK^-$ and $pn{\bar K}^0$ in Ref. [1]. These elements are two basis elements of the isospin basis defined within the given charge formalism. The full basis includes the third element, (-++). Each element is related to another by the cyclic permutation. Unitary transformation of the basis is eliminated this coupling. The isospin-averaged model [2] is discussed with relation to an isospin-less approach. This work is supported by the NSF grant HRD-1345219. [1] T. Koike, T. Harada, A. Dote, presentation at The 12th International Conference on Hypernuclear and Strange Particle Physics (HYP2015), Tohoku University, Sendai, Japan, Sep. 7, 2015. [2] M. Bayar, J. Yamagata-Sekihara and E. Oset, Phys. Rev. C 84, 015209 (2011).