Studying the $${\bar{D}}_1K$$ D ¯ 1 K molecule in the Bethe–Salpeter equation approach
Abstract We interpret the $$X_1(2900)$$ X 1 ( 2900 ) as an S-wave $${\bar{D}}_1K$$ D ¯ 1 K molecular state in the Bethe–Salpeter equation approach with the ladder and instantaneous approximations for the kernel. By solving the Bethe–Salpeter equation numerically with the kernel containing one-partic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09422-z |
| Summary: | Abstract We interpret the $$X_1(2900)$$ X 1 ( 2900 ) as an S-wave $${\bar{D}}_1K$$ D ¯ 1 K molecular state in the Bethe–Salpeter equation approach with the ladder and instantaneous approximations for the kernel. By solving the Bethe–Salpeter equation numerically with the kernel containing one-particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) in the verties, we find the bound state exists. We also study the decay width of the decay $$X_1(2900)$$ X 1 ( 2900 ) to $$D^-K^+$$ D - K + . |
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| ISSN: | 1434-6044 1434-6052 |