Molecular states from Bˉ(∗)N\bar{B}^{(*)}N interactions

preprint2022arXivOpen access

Abstract

In 2019, two new structures Λb(6146)Λ_b(6146) and Λb(6152)Λ_b(6152) were observed by the LHCb Collaboration at the invariant mass spectrum of Λb0π+π−Λ_b^0π^{+}π^{-}, which aroused a hot discussion about their inner structures. The Λb(6146)Λ_b(6146) and Λb(6152)Λ_b(6152) might still be molecular states because their masses are close to threshold of a Bˉ\bar{B} meson and a nucleon. In this work, we perform a systematical investigation of possible heavy baryonic molecular states from the BˉN\bar{B}N interaction. Since the BˉN\bar{B}N channel strongly couples to the Bˉ∗N\bar{B}^{*}N channel, the possible BˉN−Bˉ∗N\bar{B}N-\bar{B}^{*}N bound states are also studied. The interaction of the system considered is described by the tt-channel σσ, ππ, ηη ,ωω, and ρρ mesons exchanges. By solving the non-relativistic Schrödinger equation with the obtained one-boson-exchange potentials, the Bˉ(∗)N\bar{B}^{(*)}N bound states with different quantum numbers are searched. The calculation suggests that recently observed Λb(6146)Λ_b(6146) can be assigned as a PP-wave BˉN\bar{B}N molecular state with spin parity JP=3/2+J^P=3/2^{+} or a BˉN−Bˉ∗N\bar{B}N-\bar{B}^{*}N bound state. However, assignment of Λb(6152)Λ_b(6152) as an FF-wave BˉN\bar{B}N molecular is disfavored. The Λb(6152)Λ_b(6152) can be explained as meson-baryon molecular state with a small BˉN\bar{B}N component. The calculation also predict the existence of two SS-wave BˉN−Bˉ∗N\bar{B}N-\bar{B}^{*}N bound states that can be related to the experimentally observed Λb(5912)Λ_b(5912) and Λb(5920)Λ_b(5920).

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