Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules
Abstract In this work, we calculated the form factors of the weak decay process $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + , where the final charm baryon represents an excited state with spin-parity $$\frac{1}{2}^-$$ 1 2 - . Utilizing the light-cone QCD sum rules ap...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13622-8 |
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| author | Hui-Hui Duan Yong-Lu Liu Qin Chang Ming-Qiu Huang |
| author_facet | Hui-Hui Duan Yong-Lu Liu Qin Chang Ming-Qiu Huang |
| author_sort | Hui-Hui Duan |
| collection | DOAJ |
| description | Abstract In this work, we calculated the form factors of the weak decay process $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + , where the final charm baryon represents an excited state with spin-parity $$\frac{1}{2}^-$$ 1 2 - . Utilizing the light-cone QCD sum rules approach, we incorporated the contributions of the lowest two charm baryon states: the ground state $$\varLambda _c$$ Λ c with $$J^P=\frac{1}{2}^+$$ J P = 1 2 + and the excited state $$\varLambda _c(2595)^+$$ Λ c ( 2595 ) + with $$J^P=\frac{1}{2}^-$$ J P = 1 2 - in the hadronic representation of the $$\varLambda _b \rightarrow \varLambda _c(2595)^+$$ Λ b → Λ c ( 2595 ) + transition correlation function. This approach allows us to extract the form factors of the $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + from $$\varLambda _b^0 \rightarrow \varLambda _c^+$$ Λ b 0 → Λ c + transition. During the light-cone QCD sum rules procedure, we employed the light-cone distribution amplitudes (LCDAs) of the $$\varLambda _b$$ Λ b baryon. Furthermore, by combining these form factors with the helicity amplitudes of the bottom baryon transition matrix elements, we calculated the differential decay widths for the processes $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+\ell ^-\bar{\nu }_\ell $$ Λ b 0 → Λ c ( 2595 ) + ℓ - ν ¯ ℓ and provided the optimal choice of the interpolating current for $$\varLambda _c$$ Λ c in this process. Additionally, within the lifetime of $$\varLambda _b^0$$ Λ b 0 , we obtained the absolute branching fractions for the semileptonic decays $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+ \ell ^- \bar{\nu }_\ell $$ Λ b 0 → Λ c ( 2595 ) + ℓ - ν ¯ ℓ . With the branching fractions of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+ \ell ^- \bar{\nu }_\ell $$ Λ b 0 → Λ c ( 2595 ) + ℓ - ν ¯ ℓ calculated in this work, we also determined the parameter $$\mathcal {R}(\varLambda _c(2595)^+)$$ R ( Λ c ( 2595 ) + ) which tests the lepton flavor universality. This parameter is defined as the ratio of branching fractions $$\mathcal {B}r(\varLambda _b^0 \rightarrow \varLambda _c(2595)^+\tau ^-\bar{\nu }_\tau )$$ B r ( Λ b 0 → Λ c ( 2595 ) + τ - ν ¯ τ ) and $$\mathcal {B}r(\varLambda _b^0 \rightarrow \varLambda _c(2595)^+\mu ^-\bar{\nu }_\mu )$$ B r ( Λ b 0 → Λ c ( 2595 ) + μ - ν ¯ μ ) . Our results provide a valuable theoretical test for these decay channels and offer insights into the LCDAs of bottom baryons, paving the way for further in-depth investigations. |
| format | Article |
| id | doaj-art-9847b8d57c5e4c44998be3c3efc932f0 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-9847b8d57c5e4c44998be3c3efc932f02025-02-02T12:39:51ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211610.1140/epjc/s10052-024-13622-8Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rulesHui-Hui Duan0Yong-Lu Liu1Qin Chang2Ming-Qiu Huang3Institute of Particle and Nuclear Physics, Henan Normal UniversityDepartment of Physics, National University of Defense TechnologyInstitute of Particle and Nuclear Physics, Henan Normal UniversityDepartment of Physics, National University of Defense TechnologyAbstract In this work, we calculated the form factors of the weak decay process $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + , where the final charm baryon represents an excited state with spin-parity $$\frac{1}{2}^-$$ 1 2 - . Utilizing the light-cone QCD sum rules approach, we incorporated the contributions of the lowest two charm baryon states: the ground state $$\varLambda _c$$ Λ c with $$J^P=\frac{1}{2}^+$$ J P = 1 2 + and the excited state $$\varLambda _c(2595)^+$$ Λ c ( 2595 ) + with $$J^P=\frac{1}{2}^-$$ J P = 1 2 - in the hadronic representation of the $$\varLambda _b \rightarrow \varLambda _c(2595)^+$$ Λ b → Λ c ( 2595 ) + transition correlation function. This approach allows us to extract the form factors of the $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + from $$\varLambda _b^0 \rightarrow \varLambda _c^+$$ Λ b 0 → Λ c + transition. During the light-cone QCD sum rules procedure, we employed the light-cone distribution amplitudes (LCDAs) of the $$\varLambda _b$$ Λ b baryon. Furthermore, by combining these form factors with the helicity amplitudes of the bottom baryon transition matrix elements, we calculated the differential decay widths for the processes $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+\ell ^-\bar{\nu }_\ell $$ Λ b 0 → Λ c ( 2595 ) + ℓ - ν ¯ ℓ and provided the optimal choice of the interpolating current for $$\varLambda _c$$ Λ c in this process. Additionally, within the lifetime of $$\varLambda _b^0$$ Λ b 0 , we obtained the absolute branching fractions for the semileptonic decays $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+ \ell ^- \bar{\nu }_\ell $$ Λ b 0 → Λ c ( 2595 ) + ℓ - ν ¯ ℓ . With the branching fractions of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+ \ell ^- \bar{\nu }_\ell $$ Λ b 0 → Λ c ( 2595 ) + ℓ - ν ¯ ℓ calculated in this work, we also determined the parameter $$\mathcal {R}(\varLambda _c(2595)^+)$$ R ( Λ c ( 2595 ) + ) which tests the lepton flavor universality. This parameter is defined as the ratio of branching fractions $$\mathcal {B}r(\varLambda _b^0 \rightarrow \varLambda _c(2595)^+\tau ^-\bar{\nu }_\tau )$$ B r ( Λ b 0 → Λ c ( 2595 ) + τ - ν ¯ τ ) and $$\mathcal {B}r(\varLambda _b^0 \rightarrow \varLambda _c(2595)^+\mu ^-\bar{\nu }_\mu )$$ B r ( Λ b 0 → Λ c ( 2595 ) + μ - ν ¯ μ ) . Our results provide a valuable theoretical test for these decay channels and offer insights into the LCDAs of bottom baryons, paving the way for further in-depth investigations.https://doi.org/10.1140/epjc/s10052-024-13622-8 |
| spellingShingle | Hui-Hui Duan Yong-Lu Liu Qin Chang Ming-Qiu Huang Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules European Physical Journal C: Particles and Fields |
| title | Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules |
| title_full | Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules |
| title_fullStr | Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules |
| title_full_unstemmed | Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules |
| title_short | Form factors of $$\varLambda _b^0 \rightarrow \varLambda _c(2595)^+$$ Λ b 0 → Λ c ( 2595 ) + within light-cone QCD sum rules |
| title_sort | form factors of varlambda b 0 rightarrow varlambda c 2595 λ b 0 λ c 2595 within light cone qcd sum rules |
| url | https://doi.org/10.1140/epjc/s10052-024-13622-8 |
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