The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is d...The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. Based on the experimental data at the K^-p threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one Λ（1405） state is generated dynamically in the strangeness S =-1 and isospin I =0 sector.展开更多
The potential of the B meson and the pseudoscalar meson is constructed up to the next-to-leading order Lagrangian, and then the BK and Bsπ interaction is studied in the unitary coupled-channel approximation. A resona...The potential of the B meson and the pseudoscalar meson is constructed up to the next-to-leading order Lagrangian, and then the BK and Bsπ interaction is studied in the unitary coupled-channel approximation. A resonant state with a mass about 5568 MeV and J^P= 0^＋is generated dynamically, which can be associated with the X（5568） state announced by the D0 Collaboration recently. The mass and the decay width of this resonant state depend on the regularization scale in the dimensional regularization scheme, or the maximum momentum in the momentum cutoff regularization scheme. The scattering amplitude of the vector B meson and the pseudoscalar meson is calculated, and an axial-vector state with a mass near 5620 MeV and J^P= 1^＋is produced. Their partners in the charm sector are also discussed.展开更多
文摘The Bethe-Salpeter equation is solved in the framework of the unitary coupled-channel approximation by using the pseudoscalar meson-baryon octet interaction. The loop function of the intermediate meson and baryon is deduced in a dimensional regularization scheme, where the relativistic kinetic effect and off-shell corrections are taken into account. Based on the experimental data at the K^-p threshold, the subtraction constants in the loop function are determined. The squared amplitude is suppressed strongly and only one Λ（1405） state is generated dynamically in the strangeness S =-1 and isospin I =0 sector.
文摘The potential of the B meson and the pseudoscalar meson is constructed up to the next-to-leading order Lagrangian, and then the BK and Bsπ interaction is studied in the unitary coupled-channel approximation. A resonant state with a mass about 5568 MeV and J^P= 0^＋is generated dynamically, which can be associated with the X（5568） state announced by the D0 Collaboration recently. The mass and the decay width of this resonant state depend on the regularization scale in the dimensional regularization scheme, or the maximum momentum in the momentum cutoff regularization scheme. The scattering amplitude of the vector B meson and the pseudoscalar meson is calculated, and an axial-vector state with a mass near 5620 MeV and J^P= 1^＋is produced. Their partners in the charm sector are also discussed.
