TY - JOUR
T1 - Three-body molecules D ¯ D ¯ ∗ ςc
T2 - Understanding the nature of Tcc, Pc (4312), Pc (4440), and Pc (4457)
AU - Pan, Ya Wen
AU - Wu, Tian Wei
AU - Liu, Ming Zhu
AU - Geng, Li Sheng
N1 - Publisher Copyright:
© 2022 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "http://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - 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(JP)=1(1/2+) and I(JP)=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 nontrivial way to reveal the molecular nature of these states. The partial widths of two D¯D¯∗ςc molecules decaying into J/ψpD¯ and J/ψpD¯∗ are found to be several MeV. We recommend the experimental searches for the D¯D¯∗ςc molecules in the J/ψpD¯ and J/ψpD¯∗ invariant mass distributions.
AB - 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(JP)=1(1/2+) and I(JP)=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 nontrivial way to reveal the molecular nature of these states. The partial widths of two D¯D¯∗ςc molecules decaying into J/ψpD¯ and J/ψpD¯∗ are found to be several MeV. We recommend the experimental searches for the D¯D¯∗ςc molecules in the J/ψpD¯ and J/ψpD¯∗ invariant mass distributions.
UR - https://www.scopus.com/pages/publications/85134386596
U2 - 10.1103/PhysRevD.105.114048
DO - 10.1103/PhysRevD.105.114048
M3 - 文章
AN - SCOPUS:85134386596
SN - 2470-0010
VL - 105
JO - Physical Review D
JF - Physical Review D
IS - 11
M1 - 114048
ER -