Chiral loops in the isospin violating decays of D_{s1}(2460) and D*_{s0}(2317)

Abstract

Positive parity meson states D*_{s0}(2317) and D_{s1}(2460) have masses slightly below the DK threshold. Therefore, both states can strongly decay only into isospin violating decays D_{s1}(2460) --> Ds ππ, D_{s1}(2460) --> Ds* π0 and D*_{s0}(2317) --> Ds π0. The pion states are having rather small energies, what makes these decays appropriate to study within heavy meson chiral perturbation theory and calculate loop contributions. The D_{s1}(2460) --> Ds ππdecays occur only at the loop level. Amplitude is a result of chiral loop contributions, which then have to be finite. However, in the case of D_{s1}(2460)--> Ds* π0 and D*_{s0}(2317)--> Ds π0 decays, there is a tree level contribution. We find that chiral loop contributions might be important in both cases. The calculated amplitudes are sensitive on the coupling constant describing the interaction of positive and negative parity heavy meson multiplets with the light pseudoscalars. The counter-terms contributions are also present in the amplitudes D_{s1}(2460) --> Ds* π0 and D*_{s0}(2317) --> Ds π0. We explore experimentally known ratio of the decay widths for these two decay modes to estimate the size of counter-terms contributions. We determine decay widths for both decay modes to be Gamma (D_{s1}(2460) --> Ds π+ π-) = 0.25 keV and Gamma (D_{s1}(2460) --> Ds + π0 π0 ) = 0.15 keV.

References in corpus (11)

• Strong and radiative decays of the Ds0*(2317) meson in the DK-molecule picture
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• D* K molecular structure of the Ds1(2460) meson
• Pionic Decays of $D_{sj}(2317)$, $D_{sj}(2460)$ and $B_{sj}(5718)$, $B_{sj}(5765)$
• Vector and axial-vector couplings of D and D* mesons in 2+1 flavor Lattice QCD
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• Analysis of the vertices $D^{\ast }{D}_{s}K$, $D_s^{\ast }DK$,$D_0{D}_{s}K$ and $D_{s0}DK$ with the light-cone QCD sum rules
• Testing the molecular nature of ${\mathbf{D}}_{\mathbf{s}0}^{\ast }(2317)$ and ${\mathbf{D}}_0^{\ast }(2400)$ in semileptonic ${\mathbf{B}}_{\mathbf{s}}$ and $\mathbf{B}$ decays
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• Study on Decays of $D_{sJ}^{\ast }(2317)$ and $D_{sJ}(2460)$ in terms of the CQM Model
• Pion couplings to the scalar B meson

Cited by in corpus (9)

• A review of the open charm and open bottom systems
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states
• Radiative and pionic transitions from the $D_{s1}(2460)$ to the $D_{s0}^{\ast }(2317)$
• Update on strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and their bottom cousins
• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Production of $P-$wave charmed and charmed-strange mesons in pion and kaon induced reactions
• Electric transitions of the charmed-strange mesons in a relativistic quark model
• Production of the $D_{s0}(2317)$ and $D_{s1}(2460)$ by kaon-induced reactions on a proton target