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- W4313304023 abstract "We carry out an analysis of the multibody decay cascade ${mathrm{ensuremath{Lambda}}}_{b}ensuremath{rightarrow}{mathrm{ensuremath{Lambda}}}_{J}^{*}J/ensuremath{psi}ensuremath{rightarrow}p{K}^{ensuremath{-}}J/ensuremath{psi}$ with the ${mathrm{ensuremath{Lambda}}}_{J}^{*}$ resonance, including ${mathrm{ensuremath{Lambda}}}_{1520}^{*}$, ${mathrm{ensuremath{Lambda}}}_{1600}^{*}$, and ${mathrm{ensuremath{Lambda}}}_{1800}^{*}$, and $J/ensuremath{psi}$ reconstructed by the lepton pair final state. Using the helicity amplitude technique, we derive a compact form for the angular distributions for the decay chain, from which one can extract various one-dimensional distributions. Using the ${mathrm{ensuremath{Lambda}}}_{b}ensuremath{rightarrow}{mathrm{ensuremath{Lambda}}}_{J}^{*}$ form factors from lattice QCD and quark model, we calculate the differential and integrated partial widths. Decay branching fractions are found as $mathcal{B}({mathrm{ensuremath{Lambda}}}_{b}ensuremath{rightarrow}{mathrm{ensuremath{Lambda}}}_{J}^{*}(pK)J/ensuremath{psi}({ensuremath{ell}}^{+}{ensuremath{ell}}^{ensuremath{-}}))=(1.35ifmmodepmelsetextpmfi{}0.28)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}5}$. In addition, we also explore forward-backward asymmetry and various polarizations. Results in this work will serve a calibration for the study of $bensuremath{rightarrow}s{ensuremath{ell}}^{+}{ensuremath{ell}}^{ensuremath{-}}$ decays in ${mathrm{ensuremath{Lambda}}}_{b}$ decays in future and provide useful information toward the understanding of the properties of the ${mathrm{ensuremath{Lambda}}}_{J}^{*}$ baryons." @default.
- W4313304023 created "2023-01-06" @default.
- W4313304023 creator A5046597133 @default.
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- W4313304023 date "2022-12-30" @default.
- W4313304023 modified "2023-10-17" @default.
- W4313304023 title "Angular distributions for <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy=false>→</mml:mo><mml:msubsup><mml:mrow><mml:mi mathvariant=normal>Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy=false>(</mml:mo><mml:mi>p</mml:mi><mml:msup><mml:…" @default.
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- W4313304023 doi "https://doi.org/10.1103/physrevd.106.114041" @default.
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