Chiral Particle Decay of Heavy-Light Mesons in a Relativistic Potential Model

Abstract

Partial decay widths of the heavy-light mesons, $D,D_s,B,$ and $B_s$, emitting one chiral particle ($\pi$ or $K$) are evaluated in the framework of a relativistic potential model. Decay amplitudes are calculated by keeping the Lorentz invariance as far as possible and use has been made of the Lorentz-boosted relativistic wave functions of the heavy-light mesons. One of predictions of our calculation is very narrow widths of a few keV for yet undsicovered $B_s(0^{+},1^{+})$ mesons corresponding to ${}^{2S+1}{L}_J={}^3{P}_0$ and $"{}^3{P}_1"$ assuming their masses to be 5617 and 5682 MeV, respectively, as calculated in our former paper. In the course of our calculation, new sum rules are discovered on the decay widths in the limit of $m_Q\to \infty$. Among these rules, $\Gamma (D_{s0}^{\ast }(2317)\to D_s+\pi )=\Gamma (D_{s1}(2460)\to D_s^{\ast }+\pi )$ and $\Gamma (B_{s0}^{\ast }(5615)\to B_s+\pi )=\Gamma (B_{s1}(5679)\to B_s^{\ast }+\pi )$ are predicted to hold with a good accuracy.

14pages, 6tables

References in corpus (5)

• New Heavy-Light Mesons $Q\bar{q}$
• Strong D* -> D+pi and B* -> B+pi couplings
• Radial Excitations of Heavy Mesons
• Construction of Lorentz Invariant Amplitudes from Rest Frame Wave Functions in HQET
• Decay properties of the heavy-light mesons

Cited by in corpus (13)

• A review of the open charm and open bottom systems
• Charmed-strange mesons revisited: mass spectra and strong decays
• Low-lying charmed and charmed-strange baryon states
• Higher radial and orbital excitations in the charmed meson family
• Predicting a new resonance as charmed-strange baryonic analog of $D_{s0}^{\ast }(2317)$
• Newly observed $B(5970)$ and the predictions of its spin and strange partners
• Revealing the inner structure of the newly observed $D_2^{\ast }(3000)$
• Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$
• Study of B, Bs mesons using heavy quark effective theory
• Strong decays of $2^{+}$ charm and charm-strange mesons
• A Mesonic Analog of the Deuteron
• Masses and Strong Decay properties of Radially Excited Bottom states B(2S)and B(2P) with their Strange Partners Bs(2S) and Bs(2P)
• Strong decays of excited $2^{+}$ charmed mesons