Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )

Abstract In this work, we perform a systematical investigation about the possible hidden and doubly heavy molecular states with open and hidden strangeness from interactions of $$D^{(*)}{{\bar{D}}}^{(*)}_{s}$$ D ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}{{\bar{B}}}^{(*)}_{s}$$ B ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}_{...

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Main Authors: Zuo-Ming Ding, Han-Yu Jiang, Dan Song, Jun He
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09534-6
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author Zuo-Ming Ding
Han-Yu Jiang
Dan Song
Jun He
author_facet Zuo-Ming Ding
Han-Yu Jiang
Dan Song
Jun He
author_sort Zuo-Ming Ding
collection DOAJ
description Abstract In this work, we perform a systematical investigation about the possible hidden and doubly heavy molecular states with open and hidden strangeness from interactions of $$D^{(*)}{{\bar{D}}}^{(*)}_{s}$$ D ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}{{\bar{B}}}^{(*)}_{s}$$ B ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}_{s}{{\bar{D}}}^{(*)}_{s}$$ D s ( ∗ ) D ¯ s ( ∗ ) / $${{B}}^{(*)}_{s}{{\bar{B}}}^{(*)}_{s}$$ B s ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}D_{s}^{(*)}$$ D ( ∗ ) D s ( ∗ ) / $${B}^{(*)}B_{s}^{(*)}$$ B ( ∗ ) B s ( ∗ ) , and $$D_{s}^{(*)}D_{s}^{(*)}$$ D s ( ∗ ) D s ( ∗ ) / $$B_{s}^{(*)}B_{s}^{(*)}$$ B s ( ∗ ) B s ( ∗ ) in a quasipotential Bethe-Salpeter equation approach. The interactions of the systems considered are described within the one-boson-exchange model, which includes exchanges of light mesons and $$J/\psi /\varUpsilon $$ J / ψ / Υ meson. Possible molecular states are searched for as poles of scattering amplitudes of the interactions considered. The results suggest that recently observed $$Z_{cs}(3985)$$ Z cs ( 3985 ) can be assigned as a molecular state of $$D^*{\bar{D}}_s+D{\bar{D}}^*_s$$ D ∗ D ¯ s + D D ¯ s ∗ , which is a partner of $$Z_c(3900)$$ Z c ( 3900 ) state as a $$D{\bar{D}}^*$$ D D ¯ ∗ molecular state. The calculation also favors the existence of hidden heavy states $$D_s{\bar{D}}_s/B_s{\bar{B}}_s$$ D s D ¯ s / B s B ¯ s with spin parity $$J^P=0^+$$ J P = 0 + , $$D_s{\bar{D}}^*_s/B_s{\bar{B}}^*_s$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^{+}$$ 1 + , and $$D^*_s{\bar{D}}^*_s/B^*_s{\bar{B}}^*_s$$ D s ∗ D ¯ s ∗ / B s ∗ B ¯ s ∗ with $$0^+$$ 0 + , $$1^+$$ 1 + , and $$2^+$$ 2 + . In the doubly heavy sector, the bound states can be found from the interactions $$(D^*D_s+DD^*_s)/(B^*B_s+BB^*_s)$$ ( D ∗ D s + D D s ∗ ) / ( B ∗ B s + B B s ∗ ) with $$1^+$$ 1 + , $$D_s{\bar{D}}_s^*/B_s{\bar{B}}_s^*$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^+$$ 1 + , $$D^*D^*_s/B^*B^*_s$$ D ∗ D s ∗ / B ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + , and $$D^*_sD^*_s/B^*_sB^*_s$$ D s ∗ D s ∗ / B s ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + . Some other interactions are also found attractive, but may be not strong enough to produce a bound state. The results in this work are helpful for understanding the $$Z_{cs}(3985)$$ Z cs ( 3985 ) , and future experimental search for the new molecular states.
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spelling doaj.art-419c3f48bd2b4682ae174653ec2dd3282022-12-21T22:28:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-08-0181811110.1140/epjc/s10052-021-09534-6Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )Zuo-Ming Ding0Han-Yu Jiang1Dan Song2Jun He3School of Physics and Technology, Nanjing Normal UniversitySchool of Physics and Technology, Nanjing Normal UniversitySchool of Physics and Technology, Nanjing Normal UniversitySchool of Physics and Technology, Nanjing Normal UniversityAbstract In this work, we perform a systematical investigation about the possible hidden and doubly heavy molecular states with open and hidden strangeness from interactions of $$D^{(*)}{{\bar{D}}}^{(*)}_{s}$$ D ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}{{\bar{B}}}^{(*)}_{s}$$ B ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}_{s}{{\bar{D}}}^{(*)}_{s}$$ D s ( ∗ ) D ¯ s ( ∗ ) / $${{B}}^{(*)}_{s}{{\bar{B}}}^{(*)}_{s}$$ B s ( ∗ ) B ¯ s ( ∗ ) , $${D}^{(*)}D_{s}^{(*)}$$ D ( ∗ ) D s ( ∗ ) / $${B}^{(*)}B_{s}^{(*)}$$ B ( ∗ ) B s ( ∗ ) , and $$D_{s}^{(*)}D_{s}^{(*)}$$ D s ( ∗ ) D s ( ∗ ) / $$B_{s}^{(*)}B_{s}^{(*)}$$ B s ( ∗ ) B s ( ∗ ) in a quasipotential Bethe-Salpeter equation approach. The interactions of the systems considered are described within the one-boson-exchange model, which includes exchanges of light mesons and $$J/\psi /\varUpsilon $$ J / ψ / Υ meson. Possible molecular states are searched for as poles of scattering amplitudes of the interactions considered. The results suggest that recently observed $$Z_{cs}(3985)$$ Z cs ( 3985 ) can be assigned as a molecular state of $$D^*{\bar{D}}_s+D{\bar{D}}^*_s$$ D ∗ D ¯ s + D D ¯ s ∗ , which is a partner of $$Z_c(3900)$$ Z c ( 3900 ) state as a $$D{\bar{D}}^*$$ D D ¯ ∗ molecular state. The calculation also favors the existence of hidden heavy states $$D_s{\bar{D}}_s/B_s{\bar{B}}_s$$ D s D ¯ s / B s B ¯ s with spin parity $$J^P=0^+$$ J P = 0 + , $$D_s{\bar{D}}^*_s/B_s{\bar{B}}^*_s$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^{+}$$ 1 + , and $$D^*_s{\bar{D}}^*_s/B^*_s{\bar{B}}^*_s$$ D s ∗ D ¯ s ∗ / B s ∗ B ¯ s ∗ with $$0^+$$ 0 + , $$1^+$$ 1 + , and $$2^+$$ 2 + . In the doubly heavy sector, the bound states can be found from the interactions $$(D^*D_s+DD^*_s)/(B^*B_s+BB^*_s)$$ ( D ∗ D s + D D s ∗ ) / ( B ∗ B s + B B s ∗ ) with $$1^+$$ 1 + , $$D_s{\bar{D}}_s^*/B_s{\bar{B}}_s^*$$ D s D ¯ s ∗ / B s B ¯ s ∗ with $$1^+$$ 1 + , $$D^*D^*_s/B^*B^*_s$$ D ∗ D s ∗ / B ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + , and $$D^*_sD^*_s/B^*_sB^*_s$$ D s ∗ D s ∗ / B s ∗ B s ∗ with $$1^+$$ 1 + and $$2^+$$ 2 + . Some other interactions are also found attractive, but may be not strong enough to produce a bound state. The results in this work are helpful for understanding the $$Z_{cs}(3985)$$ Z cs ( 3985 ) , and future experimental search for the new molecular states.https://doi.org/10.1140/epjc/s10052-021-09534-6
spellingShingle Zuo-Ming Ding
Han-Yu Jiang
Dan Song
Jun He
Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )
European Physical Journal C: Particles and Fields
title Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )
title_full Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )
title_fullStr Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )
title_full_unstemmed Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )
title_short Hidden and doubly heavy molecular states from interactions $$D^{(*)}_{(s)}{{\bar{D}}}^{(*)}_{s}$$ D ( s ) ( ∗ ) D ¯ s ( ∗ ) / $$B^{(*)}_{(s)}{{\bar{B}}}^{(*)}_{s}$$ B ( s ) ( ∗ ) B ¯ s ( ∗ ) and $${D}^{(*)}_{(s)}D_{s}^{(*)}$$ D ( s ) ( ∗ ) D s ( ∗ ) / $${B}^{(*)}_{(s)}B_{s}^{(*)}$$ B ( s ) ( ∗ ) B s ( ∗ )
title_sort hidden and doubly heavy molecular states from interactions d s bar d s d s ∗ d ¯ s ∗ b s bar b s b s ∗ b ¯ s ∗ and d s d s d s ∗ d s ∗ b s b s b s ∗ b s ∗
url https://doi.org/10.1140/epjc/s10052-021-09534-6
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