Molecular states from D(∗)D¯(∗)/B(∗)B¯(∗) and D(∗)D(∗)/B¯(∗)B¯(∗) interactions

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2020-12, Vol.80 (12)
• Main Authors: Ding, Zuo-Ming, Jiang, Han-Yu, He, Jun
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Bethe-Salpeter equation; Elementary Particles; Exchanging; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum numbers; Regular Article - Theoretical Physics; Scattering amplitude; String Theory
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-08754-6

In this work, we preform a systematic investigation about hidden heavy and doubly heavy molecular states from the D ( ∗ ) D ¯ ( ∗ ) / B ( ∗ ) B ¯ ( ∗ ) and D ( ∗ ) D ( ∗ ) / B ¯ ( ∗ ) B ¯ ( ∗ ) interactions in the quasipotential Bethe–Salpeter equation (qBSE) approach. With the help of Lagrangians with heavy quark and chiral symmetries, interaction potentials are constructed within the one-boson-exchange model in which we include the π , η , ρ , ω and σ exchanges, as well as J / ψ or Υ exchange. Possible bound states from the interactions considered are searched for as the pole of scattering amplitude. The results suggest that experimentally observed states, Z c ( 3900 ) , Z c ( 4020 ) , Z b ( 10610 ) , and Z b ( 10650 ) , can be related to the D D ¯ ∗ , D ∗ D ¯ ∗ , B B ¯ ∗ , and B ∗ B ¯ ∗ interactions with quantum numbers I G ( J P ) = 1 + ( 1 + ) , respectively. The D D ¯ ∗ interaction is also attractive enough to produce a pole with 0 + ( 0 + ) which is related to the X (3872). Within the same theoretical frame, the existence of D D ¯ and B B ¯ molecular states with 0 ( 0 + ) are predicted. The possible D ∗ D ¯ ∗ molecular states with 0 ( 0 + , 1 + , 2 + ) and 1 ( 0 + ) and their bottom partners are also suggested by the calculation. In the doubly heavy sector, no bound state is produced from the D D / B ¯ B ¯ interaction while a bound state is found with 0 ( 1 + ) from D D ∗ / B ¯ B ¯ ∗ interaction. The D ∗ D ∗ / B ¯ ∗ B ¯ ∗ interaction produces three molecular states with 0 ( 1 + ) , 0 ( 2 + ) and 1 ( 2 + ) .