arXiv subjects

De-Min Li

Publications and source records attributed to De-Min Li.

At least 37 records · Page 2Linked to original sources

arXiv2022

Further understanding the nature of $a_0(1710)$ in the $D^+_s \to π^0 K^+ K^0_S$ decay

Based on our previous work about the role of $a_0(1710)$ in the $D_s^+\toπ^+K_S^0K_S^0$ decay [Phy. Rev. D 105, 116010 (2022)], we perform a further theoretical study of $a_0(1710)^+$ in the process $D^+_s \to π^0 a_0(1710)^+ \to π^0 K^+ K^0_S$. In addition to $a_0(1710)$, the contributions of $K^*$ and $a_0(980)$ are also taken into account. Firstly, we consider the contributions from the tree diagrams of $K^{*+} \to K^+π^0$ and $\bar{K}^{*0} \to π^0 \bar{K}^0$. Secondly, we describe the final state interaction of $K\bar{K}$ in the chiral unitary approach to study the contribution of $a_0(980)$, while the $a_0(1710)$ state is dynamically generated from the $K^*\bar{K}^*$ interaction, and then decays into $K^+\bar{K}^0$. Since the final $K^+ K_S^0$ state is in pure isospin $I=1$, the $D_s^+\toπ^0K^+K_s^0$ decay is an ideal process to study the $a_0(1710)^+$ and $a_0(980)^+$ resonances. Based on our theoretical calculations, it is found that the recent experimental measurements on the $K^+K^0_S$, $π^0K^+$, and $π^0 K_S^0$ invariant mass distributions can be well reproduced, which supports the molecular $K^*\bar{K}^*$ nature of the scalar $a_0(1710)$ resonance.

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arXiv2022

Mass spectra and decay properties of the higher excited $ρ$ mesons

Although there are some experimental hints for the higher excited $ρ$ mesons, our knowledge of their properties is much poor theoretically. Based on our recent work about excited $ρ$ mesons [Phys.Rev.D104(2021)034013], we present the mass spectra and decay properties of the higher excited $ρ$ mesons with the modified Godfrey-Isgur quark model and the $^3P_0$ strong decay model, and compare our predictions with the experimental hints, which should be helpful to search for these higher excited $ρ$ mesons.

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arXiv2022

Transverse momentum weighted Sivers asymmetries in SIDIS and Drell-Yan processes at COMPASS

We investigate the transverse momentum weighted Sivers asymmetries in the processes with transversely polarized proton target, including the $\frac{P_{hT}}{zM_p}\sin (ϕ_h-ϕ_S)$ weighted asymmetry in charged hadron production in semi-inclusive deeply inelastic scattering (SIDIS) and the $\frac{q_T}{M_p}\sin (ϕ_S)$ weighted asymmetry in $π^- p$ Drell-Yan process. Due to the integration over the transverse momentum, the weighted asymmetries can be expressed as the product of the transverse-moments of the transverse momentum dependent (TMD) parton distribution functions (PDFs) and fragmentation functions (FFs). Using the parametrization for the Sivers function of the proton, the unpolarized PDFs of proton and pion, and the unpolarized FF of charged hadron, we present the numerical calculation for weighted Sivers asymmetries in SIDIS and Drell-Yan processes at the kinematics of COMPASS, and compare them with experimental data. We find that our prediction on the weighted Sivers asymmetry in SIDIS process is in agreement with the recent COMPASS measurement. Due to the relatively large uncertainties of the preliminary data from COMPASS Drell-Yan program, high precision experimental data are needed to test the sign change property of the Sivers function between SIDIS and Drell-Yan processes and to constrain the sea quark Sivers function.

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arXiv2022

Theoretical study of the process $D^+_s \to π^+ K^0_S K^0_S$ and the isovector partner of $f_0(1710)$

We present a theoretical study of $a_0(1710)$, the isovector partner of $f_0(1710)$, in the process $D^+_s \to π^+ K^0_SK^0_S$. The weak interaction part proceeds through the charm quark decay process: $c(\bar{s}) \to (s + \bar{d} + u)(\bar{s})$, while the hadronization part takes place in two mechanisms, differing in how the quarks from the weak decay combines into $πK^*$ with a quark-antiquark pair $q\bar{q}$ with the vacuum quantum numbers. In addition to the contribution from the tree diagram of the $K^{*+} \to π^+ K^0_S$, we have also considered the $K^*\bar{K}^*$ final-state interactions within the chiral unitary approach to generate the intermediate state $a_0(1710)$, then it decays into the final states $K^0_SK^0_S$. We find that the recent experimental measurements on the $K^0_SK^0_S$ and $π^+K^0_S$ invariant mass distributions can be well reproduced, and the proposed mechanism can provide valuable information on the nature of scalar $f_0(1710)$ and its isovector partner $a_0(1710)$.

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arXiv2022

Research on the Phase space of three- and four-body final states process

The analytical formulae for the phase space factors and the three-momenta of three- and four-body final states are derived for all sets of independent kinematic variables containing invariant mass variables. These formulae will help experimental physicist to perform the data analysis. As an example, we show how to use these formulae to distinguish the different mechanisms of $e+p\to e+J/ψ+ p$ process for searching the signals of $P_c$ states at the energy region of Electron-Ion collider at China (EicC).

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arXiv2022

The possible assignments of the scalar $K_0^(1950)$ and $K_0^(2130)$ within the $^3P_0$ model

We have evaluated the strong decays of the $K_0^*(1950)$ and $K_0^*(2130)$ within the $^3P_0$ model, by employing the meson wave functions from the relativized quark model. By comparing with the experimental measurements, the $K_0^*(2130)$ could be assigned as $K_0^*(3^3P_0)$, while the $K_0^*(1950)$ seems like an exotic state, because its width can not be reasonably reproduced within the $^3P_0$ model. We also predict that the $K_0^*(2^3P_0)$ state has a mass of about $1811$ MeV and a width of about $656$ MeV, while the $K_0^*(4^3P_0)$ state has a mass of about $2404$ MeV and a width of about $180$ MeV.

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arXiv2021

The scalars $a_0(980)$ and $f_0(980)$ in the process $D_s^+ \to K^{+} K^{-} π^{+}$

In this work, we have investigated the process $D_s^+\to K^+ K^- π^+$, taking into account the contributions from the $S$-wave pseudoscalar-pseudoscalar interaction within the chiral unitary approach, and also the intermediate $ϕ$ resonance. By analyzing the BESIII and {\it BABAR} measurements, we conclude that the $f_0(980)$ state, dynamically generated from the $S$-wave pseudoscalar-pseudoscalar interaction, gives the dominant contribution close to the $K^+K^-$ threshold in the $K^+K^-$ invariant mass distribution of the decay $D_s^+\to K^+ K^- π^+$ in $S$-wave. On the other hand, our results imply that the lineshape adopted by BESIII and {\it BABAR} for the resonances $a_0(980)$ and $f_0(980)$ is not advisable in the fit to the data close to the $K^+K^-$ threshold.

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arXiv2021

Assignments of the $Y(2040)$, $ρ(1900)$, and $ρ(2150)$ in the quark model

Recently, the BESIII Collaboration reported a resonance $Y(2040)$ with $M=2034\pm13\pm9$ MeV and $Γ=234\pm30\pm25$ MeV in the process of $e^+e^-\rightarrowωπ^0$. In addition, new measurements with much higher precision for the $ρ(1900)$ and $ρ(2150)$ states are obtained by the BESIII and BABAR Collaborations. In this work, we perform a systematic study on the mass spectrum of the excited $ρ$ resonances using the modified Godfrey-Isgur model, and the strong decays of $Y(2040)$, $ρ(1900)$, and $ρ(2150)$ within the $^3P_0$ model.We find that $Y(2040)$, $ρ(1900)$, and $ρ(2150)$ can be interpreted as the $ρ(2^3D_1)$, $ρ(3^3S_1)$, and $ρ(4^3S_1)$ states, respectively. Meanwhile, the mass and strong decays of the $ρ(3^3D_1)$ state are predicted as well, which could be helpful to search for this state in future.

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arXiv2021

Revisit the $Z_c(4025)$ structure observed by BESIII in the $e^+e^- \to (D^\bar{D}^)^{\pm,0}π^{\mp,0}$ reactions at $\sqrt{s}=4.26$ GeV

Within the framework of the local hidden gauge formalism, we have reanalyzed the hidden-charm vector-vector meson $D^*\bar{D}^*$, $K^*\bar{K}^*$, and $ρρ$ interactions with the quantum numbers $I(J^P)=1(1^+)$. The estimation indicates that $D^*\bar{D}^*$ system could form a bound state around 4010 MeV. By comparing our theoretical estimation with the BESIII measurements of the $e^+e^- \to (D^*\bar{D}^*)^{\pm}π^{\mp}$ and $e^+e^- \to (D^*\bar{D}^*) ^{0}π^{0}$ reactions at $\sqrt{s}=4.26$ GeV , we find that the enhancement structure of the $Z_c(4025)$ in the $D^*\bar{D}^*$ invariant mass distribution observed by BESIII could be interpreted by a shallow $D^*\bar{D}^*$ bound state.

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arXiv2021

Weighted $\sin\left(3ϕ_h -ϕ_S\right)$ asymmetry from pretzelosity in SIDIS at electron ion colliders

We investigate the transverse momentum weighted azimuthal asymmetry with a $\sin\left(3ϕ_h -ϕ_S\right)$ modulation in electroproduction of charged pion production off the transversely polarized proton. The asymmetry is contributed by the product of the second transverse-moment of the pretzelosity distribution function and the first transverse-moment of the Collins function. Using the extracted result for the proton pretzelosity and the available parametrization for the pion Collins function, we numerically predict the $P_{hT}^3$-weighted $\sin\left(3ϕ_h -ϕ_S\right)$ asymmetry for charged pion production at electron ion colliders (EICs). It is found that the weighted asymmetry is around 2 percent in the kinematics region of EICs. Our results show that the planned high luminosity electron ion colliders could be feasible to access pretzelosity in the near future.

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arXiv2021

The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of $Λ_b\to J/ψΛϕ$

We study the decay of $Λ_b\to J/ψΛϕ$ by taking into account the intermediate resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$. In addition to the peak of the $X(4140)$, we also find a bump structure around 4160 MeV followed by a cusp structure around $D^*_s\bar{D}^*_s$ threshold in the $J/ψϕ$ invariant mass distribution of the $Λ_b\to J/ψΛϕ$ process, which can be associated to the $D^*_s\bar{D}^*_s$ molecular state $X(4160)$. We also show that this reaction can also be used to confirm the existence of the hidden-charm pentaquark $P_{cs}(4459)$ with strangeness. We predict an enhancement structure close to the threshold in the $D^*_s\bar{D}^*_s$ invariant mass distribution of the $Λ_b\to D^*_s\bar{D}^*_sΛ$ process, which is the reflection of the $X(4160)$ and should not be misidentified with a new resonance. We strongly suggest experimentalists to further measure these processes, which can be useful to clarify the nature of $X(4140)$ and $X(4160)$ resonances, and to confirm the existence of the $P_{cs}(4459)$.

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arXiv2021

Photoproduction $γp \to K^+Λ(1520)$ in an effective Lagrangian approach

The data on differential cross sections and photon-beam asymmetries for the $γp \to K^+Λ(1520)$ reaction have been analyzed within a tree-level effective Lagrangian approach. In addition to the $t$-channel $K$ and $K^\ast$ exchanges, the $u$-channel $Λ$ exchange, the $s$-channel nucleon exchange, and the interaction current, a minimal number of nucleon resonances in the $s$ channel are introduced in constructing the reaction amplitudes to describe the data. The results show that the experimental data can be well reproduced by including either the $N(2060)5/2^-$ or the $N(2120)3/2^-$ resonance. In both cases, the contact term and the $K$ exchange are found to make significant contributions, while the contributions from the $K^\ast$ and $Λ$ exchanges are negligible in the former case and considerable in the latter case. Measurements of the data on target asymmetries are called on to further pin down the resonance contents and to clarify the roles of the $K^\ast$ and $Λ$ exchanges in this reaction.

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arXiv2021

Search for a $D \bar{D}$ bound state in the $Λ_b \rightarrow ΛD\bar{D}$ process

We have investigated the process of $Λ_b\to ΛD\bar{D}$, by taking into account the contributions from the $s$-wave $D\bar{D}$ interaction within the coupled-channel unitary approach, and the intermediate $ψ(3770)$ resonance. In addition to the peak of the $ψ(3770)$, an enhancement near the $D\bar{D}$ mass threshold is found in the $D\bar{D}$ invariant mass distributions, which should be the reflection of the $D\bar{D}$ bound state. We would like to encourage our experimental colleagues to measure the $D\bar{D}$ invariant mass distribution of the $Λ_b\to ΛD\bar{D}$ process, which is crucial to search for the $D\bar{D}$ bound state and to understand the heavy-hadron heavy-hadron interactions.

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arXiv2021

Weak decays of doubly heavy baryons: four-body nonleptonic decay channels

The LHCb Collaboration announced the observation of doubly charmed baryon through $Ξ_{c c}^{++} \rightarrow Λ_{c}^{+} K^{-} π^{+} π^{+}$ in 2017. Since then, a series of studies of doubly heavy baryons have been presented. $Ξ_{cc}^{++}$ was discovered through nonleptonic four-body decay mode, and experimental data has indicated that the decay modes of $Ξ_{c c}^{++}$ are not saturated by two and three-body intermediate states. In this work, we analyze the four-body weak decays of doubly heavy baryons $Ξ_{cc}^{++}, Ξ_{cc}^+$, and $Ω_{cc}^+$. Decay amplitudes for various channels are parametrized in terms of SU(3) irreducible amplitudes. We point out that branching fractions for Cabibbo-allowed processes $Ξ_{cc}^{+}\toΛ_c^+π^+ π^0 K^-$, $Ω_{cc}^{+}\toΛ_c^+π^+ \overline K^0 K^-$ would be helpful to search for $Ξ_{cc}^+$ and $Ω_{cc}^+$ in future measurements at experimental facilities like LHC, Belle II, and CEPC.

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arXiv2020

The $ϕ(2170)$ production in the process $γp\to ηϕp$

We have studied the $γp\to ηϕp$ reaction within the effective Lagrangian approach, and our results show that there may be a peak, at least a bump structure around 2180 MeV associated to the resonance $ϕ(2170)$ in the $ηϕ$ mass distribution. We suggest to search for the resonance $ϕ(2170)$ in this reaction, which would be helpful to shed light on its nature.

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arXiv2020

Canonical interpretation of the $X(4140)$ state within the $^3P_0$ model

Recently, LHCb collaboration has confirmed the state $X(4140)$, with a much larger width $Γ= 83\pm 21^{+21}_{-14}$ MeV than the previous experimental measurements, which has confused the understanding of its nature. We have investigated the possibility of the $χ_{c1}(3P)$ interpretation for the $X(4140)$, considering the mass and the strong decay properties.

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arXiv2020

Role of scalar $a_0(980)$ in the single Cabibbo Suppressed process $D^+ \to π^{+} π^{0} η$

Taking into account that the scalar $a_0(980)$ can be dynamically generated from the pseudoscalar-pseudoscalar interaction within the chiral unitary approach, we have studied the single Cabibbo-suppressed process $D^+\to π^+π^0η$. We find clear peaks of $a_0(980)^+$ and $a_0(980)^0$ in the $π^+η$ and $π^0η$ invariant mass distributions, respectively. The predicted Dalitz plots of $D^+\to π^+π^0η$ also manifest the significant signals for $a_0(980)^+$ and $a_0(980)^0$ states. The uncertainties of the results due to the free parameters are also discussed. Our study shows that the process $D^+\to π^+π^0η$ can be used to explore the nature of the scalar $a_0(980)$, thus we encourage the experimental physicists to measure this reaction with more precision.

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arXiv2020

The scalar $f_0(500)$ and $f_0(980)$ resonances and vector mesons in the single Cabibbo-suppressed decays $Λ_c \to p K^+K^-$ and $pπ^+π^-$

In the chiral unitary approach, we have studied the single Cabibbo-suppressed decays $Λ_c\to pK^+K^-$ and $Λ_c \to p π^+π^-$ by taking into account the $s$-wave meson-meson interaction as well as the contributions from the intermediate vectors $ϕ$ and $ρ^0$. Our theoretical results for the ratios of the branching fractions of $Λ_c\to p \bar{K}^{*0}$ and $Λ_c\to p ω$ with respect to the one of $Λ_c\to p ϕ$ are in agreement with the experimental data. Within the picture that the scalar resonances $f_0(500)$, $f_0(980)$, and $a_0(980)$ are dynamically generated from the pseudoscalar-pseudoscalar interactions in $s$-wave, we have calculated the $K^+K^-$ and $π^+π^-$ invariant mass distributions respectively for the decays $Λ_c\to pK^+K^-$ and $Λ_c\to pπ^+π^-$. One can find a broad bump structure for the $f_0(500)$ and a narrow peak for the $f_0(980)$ in the $π^+π^-$ invariant mass distribution of the decay $Λ_c\to pπ^+π^-$. For the $K^+K^-$ invariant mass distribution, in addition to the narrow peak for the $ϕ$ meson, there is an enhancement structure near the $K^+K^-$ threshold mainly due to the contribution from the $f_0(980)$. Both the $π^+π^-$ and $K^+K^-$ invariant mass distributions are compatible with the BESIII measurement. We encourage our experimental colleagues to measure these two decays, which would be helpful to understand the nature of the $f_0(500)$, $f_0(980)$, and $a_0(980)$.

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