Revisiting the transition <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">Ξ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">→</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">Ξ</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml…
نویسندگان
چکیده
The LHCb collaboration newly measured the decay rate of doubly charmed baryon $\Xi^{++}_{cc}\to\Xi^{'+}\pi^+$ and a ratio its branching fraction with respect to that $\Xi^{++}_{cc}\to\Xi^{+}\pi^+$ is reported as $1.41\pm 0.17\pm 0.10$. This result conflicts theoretical predictions made by several groups. In our previous work, following prescription given in early literature where $us$ diquark $\Xi^{+}_{c}$ assumed be scalar whereas $\Xi^{'+}_{c}$ vector i.e. spin-flavor structure $[us]_0 c$ $[us]_1 c$, we studied case $\Xi^{++}_{cc}\to\Xi^{(')+}$ light front quark model. Numerically obtained $\Gamma(\Xi^{++}_{cc}\to\Xi^{'+}\pi^+)/\Gamma(\Xi^{++}_{cc}\to\Xi^{+}\pi^+)=0.56\pm0.18$ which about half data. While abandoning presupposition, suppose may mixture vector, namely function could ${\rm cos}\theta\, [us]_{0}[c]+{\rm sin}\theta\, [us]_{1}[c]$. An alternative combination $-{\rm sin}\theta\,[us]_{0}[c]+{\rm [us]_{1}[c]$ would correspond $\Xi^{'+}_{c}$. Introducing mixing mechanism $\Gamma(\Xi^{++}_{cc}\to\Xi^{'+}\pi^+)/\Gamma(\Xi^{++}_{cc}\to\Xi^{+}\pi^+)$ depends on angle $\theta$. With scenario, prediction between transition $\Xi^{+}_{cc}\to\Xi^{'+}_c$ $\Xi^{+}_{cc}\to\Xi^{+}_c$ can coincide data long $\theta=16.27^\circ\pm2.30^\circ$ or $85.54^\circ\pm2.30^\circ$ set. Definitely, more precise measurements other portals $\Xi^{+}_{cc}$ are badly needed for testing further determining angle.
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ژورنال
عنوان ژورنال: Physical review
سال: 2022
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.105.096011