Abstract
We analyze the weak decay of doubly-heavy baryon decays into anti-triplets Lambda _Q with light-cone sum rules. To calculate the decay form factors, both bottom and charmed anti-triplets Lambda _b and Lambda _c are described by the same set of leading twist light-cone distribution amplitudes. With the obtained form factors, we perform a phenomenology study on the corresponding semi-leptonic decays. The decay widths are calculated and the branching ratios given in this work are expected to be tested by future experimental data, which will help us to understand the underlying dynamics in doubly-heavy baryon decays.
Highlights
In the past few decades, lots of hadron states have been observed from experiments, there still remains some predicted but unobserved particles, even in their ground states
With the Fourier transformed light-cone distribution amplitudes (LCDAs) as well as light-cone vectors expressed in Eq (20), the correlation function can be written as a convolution of the light quarks total momenta ω and the momenta fraction u μQ,CVD( p, q) = − i d4x 4
We derived the baryon transition form factors with light-cone sum rules (LCSR), where the LCDAs of b are used for both b and c final states due to the heavy quark symmetry
Summary
Since the establishment of the quark model, people have attempted to construct a complete hadron spectrum containing all the particles predicted by the model. In the past few decades, lots of hadron states have been observed from experiments, there still remains some predicted but unobserved particles, even in their ground states. One kind of such particles is doubly-heavy baryon, which consists of two heavy flavor quarks and a light quark. There are some results of calculating doubly-heavy baryon form factors with light-front quark model (LFQM) [7,24]. We will perform a calculation for doubly-heavy baryon form factors with light-cone sum rules (LCSR). 3, we will give the numerical results for the form factors and use them to calculate decay widths as well as branching ratios of doubly heavy baryon semi-leptonic decays.
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