High Energy Physics - Phenomenology · arXiv:2501.16406 v2 · submitted 27 Jan 2025
Exclusive semileptonic decays of D and Ds mesons into orbitally and radially excited states of strange and light mesons
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“Reasonable agreement with experimentally measured semileptonic decay branching fractions and upper bounds is obtained.”
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Abstract
Semileptonic decays of D and Ds mesons into orbitally and radially excited strange and light mesons are studied in detail within the framework of the relativistic quark model based on the quasipotential approach and quantum chromodynamics. The hadronic matrix elements of the weak current between meson states are calculated with the consistent account of relativistic effects including contributions of the intermediate negative energy states and boosts of the meson wave functions from the rest to moving reference frame. The invariant form factors that parameterize these matrix elements are obtained as the overlap integrals of the initial and final meson wave functions. Their dependence on the square of the transferred momentum q2 is explicitly determined within the whole accessible kinematic range. A convenient analytical approximation for numerical values of form factors is given. These form factors and helicity formalism are employed for the calculation of the differential and total semileptonic decay rates of charm mesons into excited strange and light mesons. Different asymmetry and polarization parameters are also evaluated. The obtained results are compared with other theoretical calculations and available experimental data. Reasonable agreement with experimentally measured semileptonic decay branching fractions and upper bounds is obtained.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.87
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.98 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| Semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited strange and light mesons are studied in detail within the framework of the relativistic quark model based on the quasipotential approach and quantum chromodynamics. | contribution 0.97 | 0.91 | 0.06 | asserted 0.99 |
| The hadronic matrix elements of the weak current between meson states are calculated with the consistent account of relativistic effects including contributions of the intermediate negative energy states and boosts of the meson wave functions from the rest to moving reference frame. | method 0.99 | 0.93 | 0.03 | asserted 1.00 |
| The invariant form factors that parameterize these matrix elements are obtained as the overlap integrals of the initial and final meson wave functions. | method 0.80 | 0.91 | 0.04 | asserted 1.00 |
| Their dependence on the square of the transferred momentum $q^2$ is explicitly determined within the whole accessible kinematic range. | result 0.81 | 0.94 | 0.04 | asserted 1.00 |
| A convenient analytical approximation for numerical values of form factors is given. | contribution 0.45 | 0.93 | 0.05 | asserted 1.00 |
| These form factors and helicity formalism are employed for the calculation of the differential and total semileptonic decay rates of charm mesons into excited strange and light mesons. | method 0.90 | 0.92 | 0.07 | asserted 1.00 |
| Different asymmetry and polarization parameters are also evaluated. | contribution 0.60 | 0.93 | 0.04 | asserted 0.98 |
| The obtained results are compared with other theoretical calculations and available experimental data. | result 0.41 | 0.78 | 0.08 | asserted 0.96 |
| Reasonable agreement with experimentally measured semileptonic decay branching fractions and upper bounds is obtained. | result 0.91 | 0.91 | 0.68 | asserted 0.87 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from simulation or computation 0.73
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,910 input tokens.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 65 sentences without a confident label
Contests 4 papers
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Again for the $D_s^+→K_1(1270)^0e^+ν_e$ decay Ref. [ref] predicts the value which is about a factor of 4 higher than experimental limit, while our result and other theoretical predictions [ref] are well consistent with this upper bound.
Semileptonic $D_{(s)} \to A \ell^+ \nu$ and nonleptonic $D\to K_1(1270,1400) \pi$ decays in LCSR · RESULTS AND DISCUSSION · contest 0.82
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Again for the $D_s^+→K_1(1270)^0e^+ν_e$ decay Ref. [ref] predicts the value which is about a factor of 4 higher than experimental limit, while our result and other theoretical predictions [ref] are well consistent with this upper bound.
Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+\nu_\ell$ decays based on SU(3) flavor analysis · RESULTS AND DISCUSSION · contest 0.82
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Again for the $D_s^+→K_1(1270)^0e^+ν_e$ decay Ref. [ref] predicts the value which is about a factor of 4 higher than experimental limit, while our result and other theoretical predictions [ref] are well consistent with this upper bound.
Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model · RESULTS AND DISCUSSION · contest 0.82
Uses the method or tool of 2 papers
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The wave function of the moving meson $Ψ_F Δ$ is connected with the wave function in the rest frame $Ψ_F 0$ by the transformation [ref] [equation] where $R^W$ is the Wigner rotation, $L_Δ$ is the Lorentz boost from the meson rest frame to a moving one, and $D^1/2_q(R)$ is the rotation matrix in spinor representation.
Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model · Weak decay matrix elements · 0.94
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In this model a meson with the mass $M$ is described by the wave function $Ψ_M(p)$ of the quark-antiquark bound state which satisfies the Schrödinger-like quasipotential equation [ref] [equation] where $p$ is the relative quark momentum.
Properties of heavy quarkonia and B_c mesons in the relativistic quark model · RELATIVISTIC QUARK MODEL · 0.98
Uses data or values from 12 papers
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The found value of the mixing angle is $φ=43.8^∘$ [ref] .
Mass spectra and Regge trajectories of light mesons in the relativistic quark model · Masses and wave functions of excited light and strange mesons · 0.98
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The branching fractions of the semielectronic $D$ decays into the axial-vector $K_1(1270)$ meson were measured in Refs. [ref] and very recently semimuonic ones were reported in Ref. [ref] .
2102.10850 · INTRODUCTION · 0.80
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The branching fractions of the semielectronic $D$ decays into the axial-vector $K_1(1270)$ meson were measured in Refs. [ref] and very recently semimuonic ones were reported in Ref. [ref] .
1907.11370 · INTRODUCTION · 0.80
Compares with 18 papers
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We compare our results with available experimental data [ref] and previous predictions [ref] .
Semileptonic Decay of $B$ and $D\to K^*_0(1430) \bar{\ell}\nu$ From QCD Sum Rule · INTRODUCTION · 0.99
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We compare our results with available experimental data [ref] and previous predictions [ref] .
Evidence for the Decay D^0 --> K^_pi^+pi^-e^+nu_e · INTRODUCTION · 0.99
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We compare our results with available experimental data [ref] and previous predictions [ref] .
Semileptonic $D_{q}\to K_{1}\ell \nu$ and nonleptonic $D\to K_1 \pi$ decays in three--point QCD sum rules and factorization approach · INTRODUCTION · 0.99
Cites as background 15 papers
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The spectroscopy of heavy-light and light mesons was discussed in detail in Refs. [ref] .
Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model · Masses and wave functions of excited light and strange mesons · 0.87
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The spectroscopy of heavy-light and light mesons was discussed in detail in Refs. [ref] .
Mass spectra and Regge trajectories of light mesons in the relativistic quark model · Masses and wave functions of excited light and strange mesons · 0.87
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In literature mostly semileptonic decays to axial-vector and scalar mesons were considered within covariant light-front quark model [ref] , QCD and light-cone sum rules [ref] , Hard-Wall AdS/QCD model [ref] and SU(3) flavor symmetry [ref] .
$D \rightarrow a_1, f_1$ transition form factors and semileptonic decays via 3-point QCD sum rules · INTRODUCTION · 0.99
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