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Mixing of scalar tetraquark and quarkonia states in a chiral approach
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abstract
A chiral invariant Lagrangian describing the tetraquark-quarkonia interaction is considered at the leading and subleading order in the large-$N_{c}$ expansion. Spontaneous chiral symmetry breaking generates mixing of scalar tetraquark and quarkonia states and non-vanishing tetraquark condensates. In particular, the mixing strength is related to the decay strengths of tetraquark states into pseudoscalar mesons. The results show that scalar states below 1 GeV are mainly four-quark states and the scalars between 1 and 2 GeV quark-antiquark states, probably mixed with the scalar glueball in the isoscalar sector.
Forward citations
Cited by 2 Pith papers
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Comprehensive study of mass modifications of light mesons in nuclear matter in the three-flavor extended Linear Sigma Model
Combining the extended Linear Sigma Model with a parity doublet nucleon model, this paper predicts that most light meson masses drop in nuclear matter and favors a chiral invariant mass M0 around 0.8 GeV.
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Chiral effective theory of scalar and vector diquarks revisited
A new term in the chiral diquark Lagrangian is shown to control the mass ordering of pseudoscalar diquarks and to set the threshold at which heavy-baryon decays turn off under chiral restoration.
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