Study on $$\Xi _{cc}\rightarrow \Xi _c$$ ΞccΞc and $$\Xi _{cc}\rightarrow \Xi '_c$$ ΞccΞc weak decays in the light-front quark model

Hong-Wei Ke (School of Science, Tianjin University, Tianjin, 300072, China) ; Fang Lu (School of Science, Tianjin University, Tianjin, 300072, China) ; Xiao-Hai Liu (School of Science, Tianjin University, Tianjin, 300072, China) ; Xue-Qian Li (School of Physics, Nankai University, Tianjin, 300071, China)

In this work we study the weak decays of $$\Xi _{cc}\rightarrow \Xi _c$$ ΞccΞc and $$\Xi _{cc}\rightarrow \Xi '_c$$ ΞccΞc in the light-front quark model. Generally, a naive, but reasonable conjecture suggests that the cc subsystem in $$\Xi _{cc}$$ Ξcc ( us pair in $$\Xi ^{(')}_c$$ Ξc() ) stands as a diquark with definite spin and color assignments. During the concerned processes, the diquark of the initial state is not a spectator, namely must be broken. A Racah transformation would decompose the original (cc)q into a combination of c(cq) components. Thus we may deal with the decaying c quark alone while keeping the (cq) subsystem as a spectator. With the re-arrangement of the inner structure we calculate the form factors numerically and then obtain the rates of semi-leptonic decays and non-leptonic decays, which will be measured in the future.

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      "title": "Study on $$\\Xi _{cc}\\rightarrow \\Xi _c$$ <math><mrow><msub><mi>\u039e</mi><mrow><mi>cc</mi></mrow></msub><mo>\u2192</mo><msub><mi>\u039e</mi><mi>c</mi></msub></mrow></math>  and $$\\Xi _{cc}\\rightarrow \\Xi '_c$$ <math><mrow><msub><mi>\u039e</mi><mrow><mi>cc</mi></mrow></msub><mo>\u2192</mo><msubsup><mi>\u039e</mi><mi>c</mi><mo>\u2032</mo></msubsup></mrow></math>  weak decays in the light-front quark model"
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  "abstracts": [
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      "value": "In this work we study the weak decays of $$\\Xi _{cc}\\rightarrow \\Xi _c$$ <math><mrow><msub><mi>\u039e</mi><mrow><mi>cc</mi></mrow></msub><mo>\u2192</mo><msub><mi>\u039e</mi><mi>c</mi></msub></mrow></math>  and $$\\Xi _{cc}\\rightarrow \\Xi '_c$$ <math><mrow><msub><mi>\u039e</mi><mrow><mi>cc</mi></mrow></msub><mo>\u2192</mo><msubsup><mi>\u039e</mi><mi>c</mi><mo>\u2032</mo></msubsup></mrow></math>  in the light-front quark model. Generally, a naive, but reasonable conjecture suggests that the cc subsystem in $$\\Xi _{cc}$$ <math><msub><mi>\u039e</mi><mrow><mi>cc</mi></mrow></msub></math>  ( us pair in $$\\Xi ^{(')}_c$$ <math><msubsup><mi>\u039e</mi><mi>c</mi><mrow><msup><mo>(</mo><mo>\u2032</mo></msup><mo>)</mo></mrow></msubsup></math> ) stands as a diquark with definite spin and color assignments. During the concerned processes, the diquark of the initial state is not a spectator, namely must be broken. A Racah transformation would decompose the original (cc)q into a combination of c(cq) components. Thus we may deal with the decaying c quark alone while keeping the (cq) subsystem as a spectator. With the re-arrangement of the inner structure we calculate the form factors numerically and then obtain the rates of semi-leptonic decays and non-leptonic decays, which will be measured in the future."
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Published on:
17 February 2020
Publisher:
Springer
Published in:
European Physical Journal C , Volume 80 (2020)
Issue 2
Pages 1-11
DOI:
https://doi.org/10.1140/epjc/s10052-020-7699-y
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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