Can the $π^+χ_{c1}$ resonance structures be $D^*\bar{D}^*$ and $D_1\bar{D}$ molecules?

dc.creatorLee, Su Houng
dc.creatorMorita, Kenji
dc.creatorNielsen, Marina
dc.date2008-08-05
dc.date2008-10-22
dc.date.accessioned2026-07-07T12:15:10Z
dc.date.available2026-07-07T12:15:10Z
dc.descriptionWe use QCD sum rules to study the recently observed resonance-like structures in the $π^+χ_{c1}$ mass distribution, $Z_1^+(4050)$ and $Z_2^+(4250)$, considered as $D^{*+}\bar{D}^{*0}$ and $D_1^+\bar{D}^0+ D^+\bar{D}_1^0$ molecules with the quantum number $J^P=0^+$ and $J^P=1^-$ respectively. We consider the contributions of condensates up to dimension eight and work at leading order in $α_s$. We obtain $m_{D^*D^*}=(4.15\pm0.12) \GeV$, around 100 MeV above the $D^*D^*$ threshold, and $m_{D_1D}=(4.19\pm 0.22) \GeV$, around 100 MeV below the $D_1D$ threshold. We conclude that the $D^{*+}\bar{D}^{*0}$ state is probably a virtual state that is not related with the $Z_1^+(4050)$ resonance-like structure. In the case of the $D_1D$ molecular state, considering the errors, its mass is consistent with both $Z_1^+(4050)$ and $Z_2^+(4250)$ resonance-like structures. Therefore, we conclude that no definite conclusion can be drawn for this state from the present analysis.
dc.descriptionrevised version accepted for publication in Nucl. Phys. A
dc.identifierhttps://arxiv.org/abs/0808.0690
dc.identifierhttp://arxiv.org/abs/0808.0690
dc.identifierNucl.Phys.A815:29-39,2009
dc.identifierdoi:10.1016/j.nuclphysa.2008.10.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211427
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCan the $π^+χ_{c1}$ resonance structures be $D^*\bar{D}^*$ and $D_1\bar{D}$ molecules?
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