P
               <sub>
                  c
               </sub> resonances in the compact pentaquark picture

Ruangyoo, Wiriya; Phumphun, Kanokphon; Xu, Kai; Chen, Chia-Chu; Limphirat, A.; Yan, Yupeng

doi:10.1088/1361-6471/ac58af

Cited by 12 publications

(2 citation statements)

References 42 publications

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“…In our previous work [20], we have employed a contact-range effective field theory (EFT) to assign P c (4312), P c (4440) and P c (4457) as D( * ) Σ c hadronic molecules dictated by heavy quark spin symmetry(HQSS), which was confirmed by many other groups [21][22][23][24][25][26][27][28][29][30][31][32]. Even so, there still exist other explanations, such as, hadro-charmonium [33], compact pentaquark states [34][35][36][37][38][39][40][41], virtual states [42] and double triangle singularities [43]. The existence of three-body bound states D D * Σ c will further verify the molecular nature of the pentaquark states, where D D * Σ c system can be viewed as a cluster of a D meson and the D * Σ c pair or a D * meson and the DΣ c pair.…”

Section: Introductionmentioning

confidence: 95%

Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$

Pan,

Wu,

Liu

et al. 2022

Preprint

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The nature of the three pentaquark states, Pc(4312), Pc(4440) and Pc(4457), discovered by the LHCb Collaboration in 2019, is still under debate, although the D( * ) Σc molecular interpretation seems to be the most popular. In this work, by adding a D meson into the D * Σc pair, we investigate the mass and decay width of the three-body molecules D D * Σc and explore the correlation between the existence of the D D * Σc molecules with the existence of D( * ) Σc and D * D two-body molecules. The latter can be identified with the doubly charmed tetraquark state Tcc recently discovered by the LHCb Collaboration. Based on the molecular nature of Pc(4312), Pc(4440), Pc(4457), and Tcc, our results indicate that there exist two three-body bound states of D D * Σc with I(J P ) = 1(1/2 + ) and I(J P ) = 1(3/2 + ), and binding energies 37.24 MeV and 29.63 MeV below the D D * Σc mass threshold. In addition, we find that the mass splitting of these two three-body molecules are correlated to the mass splitting of Pc(4440) and Pc(4457), which offers a non-trivial way to reveal the molecular nature of these states. The partial widths of two D D * Σc molecules decaying into J/ψp D and J/ψp D * are found to be several MeV. We recommend the experimental searches for the D D * Σc molecules in the J/ψp D and J/ψp D * invariant mass distributions.

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Section: Introductionmentioning

confidence: 95%

Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$

Pan,

Wu,

Liu

et al. 2022

Preprint

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“…[10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. Although the properties of the P N ψ (4312) + are most likely to be the Swave combination of DΣ c with I(J P ) = 1/2(1/2 − ) [10-16, 26, 27], the contrary view [28], or the possibilities of the compact pentaquark state [29,30] or kinematical effects [31,32] still exist. Though suggested by the LHCb to be labeled as P N ψ (4312) + , the essence of this pentaquark state is still an open question.…”

Section: Introductionmentioning

confidence: 99%

Strong decays of $P_ψ^N(4312)^+\to J/ψ(η_c) p$ within the Bethe-Salpeter framework

Li¹,

Chang²,

Wang³

et al. 2023

Preprint

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Based on the effective Lagrangian in the heavy quark limit, we calculate the one-boson-exchange interaction kernel of DΣ c in the isospin-1 2 state. We present the Bethe-Salpeter equation and wave function for the constituent particles to be a (pseudo)scalar meson and a 1 2 baryon. By using the Bethe-Salpeter equation, we can obtain P N ψ (4312) + as the DΣ c molecular state with J P = ( 1 2 ) − . Combining the effective Lagrangian and the obtained BS wave function, the partial decay widths of P N ψ (4312) + to J/ψp and η c p are calculated to be 0.11 −0.04 +0.06 MeV and 5.6 −1.9 +2.6 × 10 −2 MeV, respectively, which are consistent with the LHCb experimental measurements. Our results indicate the fraction of J/ψp channel amounts to ∼ 1% of P N ψ (4312) + , and can reach to ∼ 30% when the interaction kernel is reduced by half. Our results favor the interpretation of P N ψ (4312) + as the DΣ c molecular state with J P = ( 1 2 ) − and isospin I = 1 2 .

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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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P _c resonances in the compact pentaquark picture

Cited by 12 publications

References 42 publications

Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$

Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$

Strong decays of $P_ψ^N(4312)^+\to J/ψ(η_c) p$ within the Bethe-Salpeter framework

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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P c resonances in the compact pentaquark picture

Cited by 12 publications

References 42 publications

Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$

Three-body molecules $\bar{D}\bar{D}^{\ast}Σ_{c}$- understanding the nature of $T_{cc}$, $P_{c}(4312)$, $P_{c}(4440)$ and $P_{c}(4457)$

Strong decays of $P_ψ^N(4312)^+\to J/ψ(η_c) p$ within the Bethe-Salpeter framework

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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P _c resonances in the compact pentaquark picture