Possible molecular states of $$D^{(*)}D^{(*)}$$ D ( ∗ ) D ( ∗ ) and $$B^{(*)}B^{(*)}$$ B ( ∗ ) B ( ∗ ) within the Bethe–Salpeter framework

Autor: Hong-Wei Ke, Xiao-Hai Liu, Xue-Qian Li
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 82, Iss 2, Pp 1-11 (2022)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-022-10092-8
Popis: Abstract Recently the LHCb collaboration reported a new exotic state $$T^+_{cc}$$ T cc + which possesses $$cc\bar{u}\bar{d}$$ c c u ¯ d ¯ flavor structure. Since its mass is very close to the threshold of $$D^0D^{*+}$$ D 0 D ∗ + (or $$D^{*0}D^{+}$$ D ∗ 0 D + ) and its width is very narrow, it is inclined to conjecture that $$T^+_{cc}$$ T cc + is a molecular state of $$D^0D^{*+}$$ D 0 D ∗ + (or $$D^{*0}D^{+}$$ D ∗ 0 D + ). In this paper we study the possible molecular structures of $$D^{(*)}D^{(*)}$$ D ( ∗ ) D ( ∗ ) and $$B^{(*)}B^{(*)}$$ B ( ∗ ) B ( ∗ ) within the Bethe–Salpeter (B–S) framework. We employ one boson exchange model to stand the interaction kernels in the B–S equations. With reasonable input parameters we find the isospin eigenstate $$\frac{1}{\sqrt{2}}(D^0D^{*+}-D^{*0}D^{+})$$ 1 2 ( D 0 D ∗ + - D ∗ 0 D + ) ( $$J^P=1^+$$ J P = 1 + ) constitutes a solution, which supports the ansatz of $$T^+_{cc}$$ T cc + being a molecular state of $$D^0D^{*+}$$ D 0 D ∗ + (or $$D^{*0}D^{+}$$ D ∗ 0 D + ). With the same parameters we also find that the isospin-1 state $$\frac{1}{\sqrt{2}}(D^{*0}D^{*+}+D^{*0}D^{*+})$$ 1 2 ( D ∗ 0 D ∗ + + D ∗ 0 D ∗ + ) ( $$J^P=0^+$$ J P = 0 + ) can exist. Moreover, we also study the systems of $$B^{(*)}B^{(*)}$$ B ( ∗ ) B ( ∗ ) and their counterparts exist as possible molecular states. Consistency of theoretical computations based on such states with the data of the future experiments may consolidate the molecular structure of the exotic state $$T^+_{cc}$$ T cc + .
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