D-wave charmonia $$\eta _{c2}(1^1\!D_2)$$ η c 2 ( 1 1 D 2 ) , $$\psi _2(1^3\!D_2)$$ ψ 2 ( 1 3 D 2 ) , and $$\psi _3(1^3\!D_3)$$ ψ 3 ( 1 3 D 3 ) in $$B_c$$ B c decays

Li, Qiang; Wang, Tianhong; Jiang, Yue; Yuan, Han; Wang, Guoli

doi:10.1140/epjc/s10052-016-4306-3

Cited by 18 publications

(20 citation statements)

References 53 publications

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“…Interested readers can see a more detailed procedures on solving the full Salpeter equations in our previous works [45,[51][52][53]. By solving the Salpeter equations, finally we achieve these eight radial wave functions numerically, which are showed in Fig.…”

Section: Ii3 Salpeter Wave Functionmentioning

confidence: 99%

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Study of the excited $$1^-$$ 1 - charm and charm–strange mesons

Jiang

Wang

et al. 2017

Eur. Phys. J. C

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Section: Ii3 Salpeter Wave Functionmentioning

confidence: 99%

“…This work are studied within the framework of the instantaneous Bethe-Salpeter methods [39,40]. The BS methods have been widely used and achieved good performance in the strong decays of heavy mesons [41][42][43], hadronic transition [44][45][46], decay constants calculations and annihilation rates [47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Study of the excited $$1^-$$ 1 - charm and charm–strange mesons

Jiang

Wang

et al. 2017

Eur. Phys. J. C

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“…(2.7), and then taking different traces, we can obtain two coupled eigenvalue equations, which can be solved numerically. The detailed procedures on solving the BSE of two-fermion systems have been presented in many previous works [7,34,52,53] and we will not copy the procedures here again. The normalization of above wave function can now be simply expressed as,…”

Section: Bethe-salpeter Equation Of the 0 + Diquarks And The Relevant Form Factorsmentioning

confidence: 99%

“…The numerical values of the model parameters used in this work are just the same with that we applied in previous calculations [7,28,[31][32][33][34][35][36] The free parameter V 0 is fixed by fitting the meson mass m B c to the experimental value. In this work, we found V 0 = −0.21 GeV for the 0 + (bc)-diquark.…”

Section: Interaction Kernelmentioning

confidence: 99%

“…In this work, we will deal with the doubly heavy baryons with (bcq) flavors within the framework of the instantaneous Bethe-Salpeter equation, which has already been successfully used to cope with the doubly heavy baryons with 1 + diquark cores [7], the recently observed pentaquark P c and fully heavy tetraquark [25,26], and also generally applied to the meson mass spectra [27][28][29], the hadronic transitions and decays [30][31][32][33][34][35][36]. The theoretical calculations from BS methods have achieved satisfactory consistences with the experimental measurements, which give us more confidence and thereby inspire us to apply the same methods in baryon bound problems.…”

Section: Introductionmentioning

confidence: 99%

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Mass spectra, wave functions and mixing effects of the (bcq) baryons

Chang

Qin

et al. 2022

Eur. Phys. J. C

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Mass spectra and wave functions of the $$J^P=\frac{1}{2}^+$$ J P = 1 2 + (bcq) baryons are calculated by the relativistic Bethe–Salpeter equation (BSE) with considering the mixing effects between the $$1^+$$ 1 + and $$0^+$$ 0 + (bc)-diquarks inside. Based on the diquark picture, the three-body problem of baryons is transformed into two two-body problems. The BSE and wave functions of the $$0^+$$ 0 + diquark are given, and then solved numerically to obtain the effective mass spectra and form factors. Also we present the wave functions at zero point for the (bc)-diquark. Considering the obtained diquark form factors, the (bcq) baryons are then described by the BSE as the bound state of a diquark and a light quark, where the interaction kernel includes the inner transitions between the $$0^+$$ 0 + and $$1^+$$ 1 + diquarks. The general wave function of the $$\frac{1}{2}^+$$ 1 2 + (bcq) baryons is constructed and solved to obtain the corresponding mass spectra. Especially, by using the obtained wave functions, the mixing effects between $$\Xi _{bc}(\Omega _{bc})$$ Ξ bc ( Ω bc ) and $$\Xi _{bc}'(\Omega '_{bc})$$ Ξ bc ′ ( Ω bc ′ ) in ground states are computed and determined to be small ($$\sim \!1\%$$ ∼ 1 % ). The numerical results indicate that it is a good choice to take $$\Xi _{bc}$$ Ξ bc and $$\Xi '_{bc}$$ Ξ bc ′ as the baryon states with the inside (bc)-diquarks occupying the definite spin.

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Strong decays of $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(ηc)p and $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework

Chang

Wang

et al. 2023

J. High Energ. Phys.

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Based on the effective Lagrangian in the heavy quark limit, we calculate the one-boson-exchange interaction kernel of $$ {P}_{\psi}^N{(4312)}^{+} $$ P ψ N 4312 + as the $$ \overline{D}{\Sigma}_c $$ D ¯ Σ c molecular state in isospin-$$ \frac{1}{2} $$ 1 2 . We present the Bethe-Salpeter equation and wave function for the constituent particles to be a (pseudo)scalar meson and a $$ \frac{1}{2} $$ 1 2 baryon. By solving the Bethe-Salpeter equation, we obtain $$ {P}_{\psi}^N{(4312)}^{+} $$ P ψ N 4312 + as the $$ \overline{D}{\Sigma}_c $$ D ¯ Σ c molecular state with JP = $$ {\left(\frac{1}{2}\right)}^{-} $$ 1 2 − . Combining the effective Lagrangian and the obtained BS wave function, the partial decay widths of $$ {P}_{\psi}^N{(4312)}^{+} $$ P ψ N 4312 + to J/ψp, ηcp, $$ {\overline{D}}^{\ast 0}{\Lambda}_c^{+} $$ D ¯ ∗ 0 Λ c + and $$ {\overline{D}}^0{\Lambda}_c^{+} $$ D ¯ 0 Λ c + are calculated to be 0.17, 0.085, 8.8, and 0.026 MeV, respectively, which are roughly consistent with the LHCb experimental measurements and some other theoretical researches. The obtain results indicate the fraction of $$ {\overline{D}}^{\ast 0}{\Lambda}_c^{+} $$ D ¯ ∗ 0 Λ c + channel amounts to ~ 90% of $$ {P}_{\psi}^N{(4312)}^{+} $$ P ψ N 4312 + , and is a highly promising channel to be discovered in the near future experiments. Our results favor the interpretation of $$ {P}_{\psi}^N{(4312)}^{+} $$ P ψ N 4312 + as the $$ \overline{D}{\Sigma}_c $$ D ¯ Σ c molecular state with JP = $$ {\left(\frac{1}{2}\right)}^{-} $$ 1 2 − and isospin I = $$ \frac{1}{2} $$ 1 2 .

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D-wave charmonia $$\eta _{c2}(1^1\!D_2)$$ η c 2 ( 1 1 D 2 ) , $$\psi _2(1^3\!D_2)$$ ψ 2 ( 1 3 D 2 ) , and $$\psi _3(1^3\!D_3)$$ ψ 3 ( 1 3 D 3 ) in $$B_c$$ B c decays

Cited by 18 publications

References 53 publications

Study of the excited $$1^-$$ 1 - charm and charm–strange mesons

Study of the excited $$1^-$$ 1 - charm and charm–strange mesons

Mass spectra, wave functions and mixing effects of the (bcq) baryons

Strong decays of $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(ηc)p and $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework

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