Study of1DStrange Charmed Meson Family Using HQET

Pallavi Gupta,A Upadhyay

doi:10.1155/2016/4957236

Abstract

Recently LHCb predicted spin 1 and spin 3 statesDs1⁎(2860)andDs3⁎(2860)which are studied through their strong decays and are assigned to fit the13D1and13D3states in the charm spectroscopy. In this paper, using the heavy quark effective theory, we state that assigningDs1⁎(2860)as the mixing of13D1-23S1states is rather a better justification to its observed experimental values than a pure state. We study its decay modes variation with hadronic coupling constantgxhand the mixing angleθ. We appoint spin 3 stateDs3⁎(2860)as the missing1D 3-JPstate and also study its decay channel behavior with coupling constantgyh. To appreciate the above results, we check the variation of decay modes for their spin partners states, that is,1D2and1D2′, with their masses and strong coupling constant, that is,gxhandgyh. Our calculation using HQET approach gives mixing angle of the13D1-23S1state forDs1⁎(2860)to lie in the range (-1.6radians≤θ≤-1.2radians). Our calculation for coupling constant values givesgxhto lie within value range of0.17–0.20andgyhto be 0.40. We expect from experiments to observe this mixing angle to verify our results.

Highlights

Over the last decade many new heavy-light mesons (Qq) have been observed by various experimental collaborations
We use HQET approach to study spin 1 resonance of LHCb Ds∗1(2860), by assigning it to be the first member of 1D stranged charm meson family
Heavy quark effective theory shows that decay widths depend on the strong hadronic couplings gxh, gyh, gxs, and gys

Summary

Introduction

Over the last decade many new heavy-light mesons (Qq) have been observed by various experimental collaborations. The four states of 1D stranged charm meson family are analyzed by studying their decay widths and branching ratios For this heavy quark effective theory is used and the importance of mixing of the two states is surveyed. We use HQET approach to study spin 1 resonance of LHCb Ds∗1(2860), by assigning it to be the first member of 1D stranged charm meson family Properties of this state are examined in two ways, firstly by considering it as a pure spin 1 state of 13D1 and secondly by assuming this state as a mixture of 13D1 and 23S1.

Framework

Numerical Results

Conclusion