Heavy–light charm mesons spectroscopy and decay widths

Alka Upadhyay,Meenakshi Batra,Pallavi Gupta

doi:10.1093/ptep/ptw036

Alka Upadhyay, Meenakshi Batra + Show 1 more

Open Access

https://doi.org/10.1093/ptep/ptw036

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Abstract

We present the mass formula for heavy-light charm meson for one loop, using heavy quark effective theory. Formulating an effective Lagrangian, the masses of the ground state heavy mesons have been studied in the heavy quark limit including leading corrections from finite heavy quark masses and nonzero light quark masses using a constrained fit for the eight equation having eleven parameters including three coupling constants g, h and g'. Masses determined from this approach is fitted to the experimentally known decay widths to estimate the strong coupling constants, showing a better match with available theoretical and experimental data

Highlights

A heavy hadronic system contains heavy quark with spin quantum number (SQ) and light degrees of freedom where light degrees of freedom include light quark and gluons interacting through quark-antiquark pairs
The light degrees of freedom should have the quantum number of light quark that is Sl in order to have total conserved quantum number J where J=SQ+Sl..Defining J as J2=j (j+1) and SQ2=sQ and Sl2=sl, the total spin j± = sl ± 1/2 can be obtained by combining the spin of heavy quark spin 1⁄2 with spin of light degrees of freedom
The axial coupling for the ground state doublet of charmed mesons, and h which dominates the strong coupling between even parity with the ground state charmed meson, given a range from 0-1.These constrains are justified from the literature

Summary

Introduction

A heavy hadronic system contains heavy quark with spin quantum number (SQ) and light degrees of freedom where light degrees of freedom include light quark and gluons interacting through quark-antiquark pairs. The theory can be applied to estimate the various signatures like masses, decay widths and their quantum numbers of meson states. The BaBar Collaboration observed another narrow peak in the D+s π0 invariant mass distribution, corresponding to a state of mass 2.317GeV [7] Both of these states were confirmed by Focus and Belle collaborations [8]. In the DK mass distribution, BaBar Collaboration noticed a broad structure with mass, M = 2688 ± 4 ± 3 MeV [10] and width =112 7 36 MeV, likely the same resonance DsJ(2700) found by Belle.

Theoretical framework

Mass formula and decay width for charm mesons

, 4. Result and Conclusion