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Leading Isgur-Wise form factor of $\Lambda_b\to\Lambda_{c1}$ transition using QCD sum rules
High Energy Physics - Phenomenology · Submitted 11 Dec 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The slope parameter $\rho^2$ in linear approximation of the Isgur-Wise function is obtained to be $\rho^2=2.01$, and the interception to be $\xi(1)=0.29$.
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The abstract, sentence by sentence
The leading Isgur-Wise form factor $\xi(y)$ parametrizing the semileptonic transitions $\Lambda_b\to\Lambda^{1/2}_{c1}\ell\bar\nu$ and $\Lambda_b\to\Lambda^{3/2}_{c1}\ell\bar\nu$ is calculated by using the QCD sum rules in the framework of heavy quark effective theory, where $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ is the orbitally excited charmed baryon doublet with $J^P=(1^-/2,3^-/2)$. The interpolating currents with transverse covariant derivative are adopted for $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ in the analysis. The slope parameter $\rho^2$ in linear approximation of the Isgur-Wise function is obtained to be $\rho^2=2.01$, and the interception to be $\xi(1)=0.29$. The decay branching ratios are estimated.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The leading Isgur-Wise form factor $\xi(y)$ parametrizing the semileptonic transitions $\Lambda_b\to\Lambda^{1/2}_{c1}\ell\bar\nu$ and $\Lambda_b\to\Lambda^{3/2}_{c1}\ell\bar\nu$ is calculated by using the QCD sum rules in the framework of heavy quark effective theory, where $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ is the orbitally excited charmed baryon doublet with $J^P=(1^-/2,3^-/2)$. | contribution 0.98 | 0.87 | 0.19 | asserted 1.00 |
| s1 | The interpolating currents with transverse covariant derivative are adopted for $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ in the analysis. | method 0.99 | 0.84 | 0.02 | asserted 0.99 |
| s2 | The slope parameter $\rho^2$ in linear approximation of the Isgur-Wise function is obtained to be $\rho^2=2.01$, and the interception to be $\xi(1)=0.29$. | result 1.00 | 0.95 | 0.67 | asserted 1.00 |
| s3 | The decay branching ratios are estimated. | result 0.78 | 0.86 | 0.07 | asserted 0.90 |
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Original abstract
The leading Isgur-Wise form factor $\xi(y)$ parametrizing the semileptonic transitions $\Lambda_b\to\Lambda^{1/2}_{c1}\ell\bar\nu$ and $\Lambda_b\to\Lambda^{3/2}_{c1}\ell\bar\nu$ is calculated by using the QCD sum rules in the framework of heavy quark effective theory, where $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ is the orbitally excited charmed baryon doublet with $J^P=(1^-/2,3^-/2)$. The interpolating currents with transverse covariant derivative are adopted for $\Lambda^{1/2}_{c1}$ and $\Lambda^{3/2}_{c1}$ in the analysis. The slope parameter $\rho^2$ in linear approximation of the Isgur-Wise function is obtained to be $\rho^2=2.01$, and the interception to be $\xi(1)=0.29$. The decay branching ratios are estimated.
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