Sum rule in quantum mechanics
View article: Axial-vector molecules $ΥB_{c}^{-}$ and $η_{b}B_{c}^{\ast-} $
Axial-vector molecules $ΥB_{c}^{-}$ and $η_{b}B_{c}^{\ast-} $ Open
Axial-vector hadronic molecules $\mathcal{M}_{\mathrm{AV}}=ΥB_{c}^{-} $ and $\widetilde{\mathcal{M}}_{\mathrm{AV}}=η_{b}B_{c}^{\ast -} $ with the quark content $bb \overline{b}\overline{c}$ are studied using QCD sum rule method. The spectr…
View article: Axial-vector molecules $ΥB_{c}^{-}$ and $η_{b}B_{c}^{\ast-} $
Axial-vector molecules $ΥB_{c}^{-}$ and $η_{b}B_{c}^{\ast-} $ Open
Axial-vector hadronic molecules $\mathcal{M}_{\mathrm{AV}}=ΥB_{c}^{-} $ and $\widetilde{\mathcal{M}}_{\mathrm{AV}}=η_{b}B_{c}^{\ast -} $ with the quark content $bb \overline{b}\overline{c}$ are studied using QCD sum rule method. The spectr…
View article: Radiative decays of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>P</mml:mi> </mml:mrow> </mml:math> -wave charmed baryons in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mn>3</mml:mn> <mml:mo stretchy="false">)</mml:mo> </mml:math> flavor <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:msub> <mml:mn>6</mml:mn> <mml:mi mathvariant="normal">F</mml:mi> </mml:msub> </mml:math> representation
Radiative decays of -wave charmed baryons in the flavor representation Open
We perform a comprehensive investigation of the radiative decays of P -wave charmed baryons in the S U ( 3 ) flavor 6 F representation, employing the light-cone quantum chromodynamics (QCD) sum rule approach within the framew…
View article: Transversity generalized parton distributions of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi mathvariant="normal">Δ</mml:mi> </mml:math> with the diquark spectator model
Transversity generalized parton distributions of the with the diquark spectator model Open
We show quark transversity generalized parton distributions (GPDs) of the Δ + isobar by using the diquark spectator model for the first time. First, this model is tested by electric charge, magnetic-dipole, and axial charge form factor…
View article: QCD sum rule predictions on gluonic tetraquark states with $J^{PC}=0^{+-},0^{--}$ and $1^{\pm \pm}$
QCD sum rule predictions on gluonic tetraquark states with $J^{PC}=0^{+-},0^{--}$ and $1^{\pm \pm}$ Open
In this work, we present a systematic calculation of the mass spectrum for tetraquark hybrid states, focusing on the $8_{[c\bar{c}]}\otimes 8_{[G]}\otimes 8_{[c\bar{c}]}$ color configuration, within the framework of QCD sum rules. As an ex…
View article: QCD sum rule predictions on gluonic tetraquark states with $J^{PC}=0^{+-},0^{--}$ and $1^{\pm \pm}$
QCD sum rule predictions on gluonic tetraquark states with $J^{PC}=0^{+-},0^{--}$ and $1^{\pm \pm}$ Open
In this work, we present a systematic calculation of the mass spectrum for tetraquark hybrid states, focusing on the $8_{[c\bar{c}]}\otimes 8_{[G]}\otimes 8_{[c\bar{c}]}$ color configuration, within the framework of QCD sum rules. As an ex…
View article: Proton mass decompositions in the NNLO QCD
Proton mass decompositions in the NNLO QCD Open
Proton matrix elements of the QCD energy-momentum tensor are expressed by the gravitational form factors. The forward values of the gravitational form factors allow for a decomposition of the proton mass into the contributions from quarks …
View article: Proton mass decompositions in the NNLO QCD
Proton mass decompositions in the NNLO QCD Open
Proton matrix elements of the QCD energy-momentum tensor are expressed by the gravitational form factors. The forward values of the gravitational form factors allow for a decomposition of the proton mass into the contributions from quarks …
View article: Radiative Decays of Vector Mesons with Light-Cone Sum Rules
Radiative Decays of Vector Mesons with Light-Cone Sum Rules Open
Hadronic electromagnetic form factors and radiative decay properties offer a crucial window into the nonperturbative dynamics of Quantum chromodynamics (QCD). In this work, we employ the light-cone sum rules (LCSR) method to systematically…
View article: Radiative Decays of Vector Mesons with Light-Cone Sum Rules
Radiative Decays of Vector Mesons with Light-Cone Sum Rules Open
Hadronic electromagnetic form factors and radiative decay properties offer a crucial window into the nonperturbative dynamics of Quantum chromodynamics (QCD). In this work, we employ the light-cone sum rules (LCSR) method to systematically…
View article: Exclusive semileptonic $B$ decays to the ground and excited states of light mesons
Exclusive semileptonic $B$ decays to the ground and excited states of light mesons Open
Exclusive semileptonic decays of $B$ mesons to the ground, radially and orbitally excited states of light mesons are investigated in the framework of the relativistic quark model based on the quasipotential approach. Such decays are very i…
View article: The Born Rule Problem and Its Derivation from Symbolic Modular Field Theory (SMFT)
The Born Rule Problem and Its Derivation from Symbolic Modular Field Theory (SMFT) Open
The Born rule remains one of the most persistent foundational gaps in quantum mechanics. Although it prescribes measurable probabilities as P(i|\psi)=|c_i|^2/\sum_j |c_j|^2, the rule does not follow from the Schrödinger equation and is usu…
View article: The Born Rule Problem and Its Derivation from Symbolic Modular Field Theory (SMFT)
The Born Rule Problem and Its Derivation from Symbolic Modular Field Theory (SMFT) Open
The Born rule remains one of the most persistent foundational gaps in quantum mechanics. Although it prescribes measurable probabilities as P(i|\psi)=|c_i|^2/\sum_j |c_j|^2, the rule does not follow from the Schrödinger equation and is usu…
View article: Exclusive semileptonic $B$ decays to the ground and excited states of light mesons
Exclusive semileptonic $B$ decays to the ground and excited states of light mesons Open
Exclusive semileptonic decays of $B$ mesons to the ground, radially and orbitally excited states of light mesons are investigated in the framework of the relativistic quark model based on the quasipotential approach. Such decays are very i…
View article: Analysis of the strong decays of the $Y(4660)$ in tetraquark scenario via the QCD sum rules
Analysis of the strong decays of the $Y(4660)$ in tetraquark scenario via the QCD sum rules Open
Motivated by the enigmatic vector charmonium-like states, we investigate the strong decay behaviors of four kinds of tetraquark states, which are possible candidates for the $Y(4660)$, within the framework of three-point QCD sum rules base…
View article: Analysis of the strong decays of the $Y(4660)$ in tetraquark scenario via the QCD sum rules
Analysis of the strong decays of the $Y(4660)$ in tetraquark scenario via the QCD sum rules Open
Motivated by the enigmatic vector charmonium-like states, we investigate the strong decay behaviors of four kinds of tetraquark states, which are possible candidates for the $Y(4660)$, within the framework of three-point QCD sum rules base…
View article: Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules
Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules Open
In this article, we take the $X(4140)$ as the axialvector tetraquark state with the symbolic quark structure $[sc]_S[\bar{s}\bar{c}]_A+[sc]_A[\bar{s}\bar{c}]_S$, and calculate the width of the two-body strong decay $X(4140)\rightarrow J/ψϕ…
View article: Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules
Analysis of the strong decay $X(4140)\rightarrow J/ψϕ$ via the light-cone QCD sum rules Open
In this article, we take the $X(4140)$ as the axialvector tetraquark state with the symbolic quark structure $[sc]_S[\bar{s}\bar{c}]_A+[sc]_A[\bar{s}\bar{c}]_S$, and calculate the width of the two-body strong decay $X(4140)\rightarrow J/ψϕ…
View article: Universal modified function in conjunction with the short range correlation effect to extract the nuclear $xF_3^A$ structure function
Universal modified function in conjunction with the short range correlation effect to extract the nuclear $xF_3^A$ structure function Open
Parton distribution functions (PDFs) are comprehensive and not reliant on the process. They are affected by nuclear matter during nuclear scattering process. As a recent approach, in order to study the nuclear PDFs (nPDFs), the nucleon pai…
View article: Universal modified function in conjunction with the short range correlation effect to extract the nuclear $xF_3^A$ structure function
Universal modified function in conjunction with the short range correlation effect to extract the nuclear $xF_3^A$ structure function Open
Parton distribution functions (PDFs) are comprehensive and not reliant on the process. They are affected by nuclear matter during nuclear scattering process. As a recent approach, in order to study the nuclear PDFs (nPDFs), the nucleon pai…
View article: Nucleon electric dipole form factor in the QCD instanton vacuum
Nucleon electric dipole form factor in the QCD instanton vacuum Open
In the quantum chromodynamics (QCD) vacuum, the nucleon form factors receive contributions from the underlying ensemble of topological pseudoparticles, which are sensitive to a finite vacuum angle θ . We use this observation to derive …
View article: Scalar molecules $η_{b}B_{c}^{-}$ and $η_{c}B_{c}^{+} $ with asymmetric quark contents
Scalar molecules $η_{b}B_{c}^{-}$ and $η_{c}B_{c}^{+} $ with asymmetric quark contents Open
The hadronic scalar molecules $\mathcal{M}_{b}$ and $\mathcal{M}_{c}$ with asymmetric quark contents $bb \overline{b}\overline{c}$ and $cc \overline{c} \overline{b}$ are explored by means of the QCD sum rule method. Their masses and curren…
View article: Scalar molecules $η_{b}B_{c}^{-}$ and $η_{c}B_{c}^{+} $ with asymmetric quark contents
Scalar molecules $η_{b}B_{c}^{-}$ and $η_{c}B_{c}^{+} $ with asymmetric quark contents Open
The hadronic scalar molecules $\mathcal{M}_{b}$ and $\mathcal{M}_{c}$ with asymmetric quark contents $bb \overline{b}\overline{c}$ and $cc \overline{c} \overline{b}$ are explored by means of the QCD sum rule method. Their masses and curren…
View article: Updated flexible global parametrization of generalized parton distributions from elastic and deep inelastic inclusive scattering data
Updated flexible global parametrization of generalized parton distributions from elastic and deep inelastic inclusive scattering data Open
An updated flexible parametrization of the generalized parton distributions in the quark, antiquark and gluon sectors is presented using constraints from high precision electron nucleon deep inelastic scattering data, as well as from the $…
View article: Updated flexible global parametrization of generalized parton distributions from elastic and deep inelastic inclusive scattering data
Updated flexible global parametrization of generalized parton distributions from elastic and deep inelastic inclusive scattering data Open
An updated flexible parametrization of the generalized parton distributions in the quark, antiquark and gluon sectors is presented using constraints from high precision electron nucleon deep inelastic scattering data, as well as from the $…
View article: D → Pℓ+ℓ− decays assisted by QCD light-cone sum rules
D → Pℓ+ℓ− decays assisted by QCD light-cone sum rules Open
A bstract We suggest a new method to analyse the rare D ( s ) → Pℓ + ℓ − decays ( P = π , K ), combining QCD light-cone sum rules (LCSR) with hadronic dispersion relations. As our main study case, we consider the D + → π + ℓ + ℓ − mode whi…
View article: Open heavy flavor mesons in hot asymmetric strange hadronic matter: A QCD sum rule approach
Open heavy flavor mesons in hot asymmetric strange hadronic matter: A QCD sum rule approach Open
The in-medium masses of the pseudoscalar open charm (D, D¯, Ds and Ds¯) and open bottom (B, B¯, Bs and Bs¯) mesons in hot asymmetric strange hadronic matter are studied within a QCD sum rule approach. These are computed using the medium mo…
View article: On the use of the operator product expansion in finite-energy sum rules for light-quark correlators
On the use of the operator product expansion in finite-energy sum rules for light-quark correlators Open
Tau-based finite-energy sum-rule (FESR) analyses often assume that scales s_0\sim m_\tau^2 are large enough that (i) integrated duality violations (DVs) can be neglected, and (ii) contributions from non-perturbative OPE condensat…
View article: High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD
High-energy fixed-angle meson scattering and the constituent counting rule in holographic QCD Open
A bstract We investigate the high-energy fixed-angle scattering of pions and ρ -mesons in a bottom-up holographic QCD model. To this end, we generalise the approach of Polchinski and Strassler [1] to write an ansatz for meson scattering am…
View article: Gross-Llewellyn Smith sum rule from lattice QCD
Gross-Llewellyn Smith sum rule from lattice QCD Open
We compute the Gross-Llewellyn Smith sum rule, i.e., the lowest odd moment of the parity-violating structure function, F3, of the nucleon from a lattice QCD calculation of the Compton amplitude. Our calculations are performed on 483×96 lat…