Chiral dynamics and S-wave contributions in semileptonicDs/Bsdecays intoπ+π−

Abstract

In this work, we study the semileptonic decay modes B 0in the kinematics region where the π + π − system has a invariant mass in the range 0.5-1.3 GeV.These processes are valuable towards the determination of S-wave π + π − light-cone distribution amplitudes whose normalizations are scalar form factors. We compare the results for scalar form factors predicted in unitarized chiral perturbation theory and extracted from the data on the Bs → J/ψπ + π − . Then the Bs → π + π − and Ds → π + π − form factors are calculated in light-cone sum rules, based on which predictions for differential decay widths are made. The results are in good agreement with the experimental data on the Bs and Ds decays into π + π − . More accurate measurements at BEPC, LHC and KEKB in future will be helpful to examine our formalism and constrain the input parameters more precisely.

Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions

“…The condensate fraction at q = 0 was 8 sample standard deviations above zero while those at every other q point were within 2 sample standard deviations of zero. The reduction in energy of the interacting system compared to the non-interacting system meanwhile was 0.54 E F which agrees with that obtained from analytic calculation [57,58] and other numerical studies [59]. The results obtained for the spin-balanced case are therefore in line with theoretical expectations of BCS theory [1] and we proceed with confidence in the veracity of the simulations.…”

f0(980) production in Ds+Dias1, Navarra2, Nielsen3 et al. 2016Phys. Rev. D301250View full textAdd to dashboardCite

“…[8] and it was also the case in the B 0 s → J/ψπ + π − experiment [28], as well as in the theoretical descriptions in Ref. [21,29,31].…”

$$\Lambda _b \rightarrow \pi ^- (D_s^-) \Lambda _c(2595),~\pi ^- (D_s^-) \Lambda _c(2625)$$ Λ b → π - ( D s - ) Λ c ( 2595 ) , π - ( D s - ) Λ c ( 2625 ) decays and $$DN,~D^*N$$ D N , D ∗ N molecular components

“…[5], where f 0 (500) and f 0 (980) appear as a consequence of the pseudoscalar meson-pseudoscalar meson interaction in coupled channels [6], using dynamics from the chiral Lagrangians [7]. The same idea, with a different formalism, has been applied later with the same conclusions [8,9].…”