摘要
We investigate the mass-shift of P-wave charmonium(χc0,χc1),and S and P-wave bottomonium(ηb,■,χb0,andχb1)states in magnetized hot asymmetric nuclear matter using the unification of QCD sum rules(QCDSR)and the chiral S U(3)model.Within QCDSR,we use two approaches,i.e.,the moment sum rule and the Borel sum rule.The magnetic field induced scalar gluon condensate<αs/πGμν^aG^aμν>and the twist-2 gluon operator<αs/πGμσ^aG^aν^σ>calculated in the chiral S U(3)model are utilised in QCD sum rules to calculate the in-medium mass-shift of the above mesons.The attractive mass-shift of these mesons is observed,which is more sensitive to magnetic field in the high density regime for charmonium,however less so for bottomonium.These results may be helpful to understand the decay of higher quarkonium states to the lower quarkonium states in asymmetric heavy ion collision experiments.
We investigate the mass-shift of P-wave charmonium(χc0,χc1),and S and P-wave bottomonium(ηb,■,χb0,and χb1) states in magnetized hot asymmetric nuclear matter using the unification of QCD sum rules(QCDSR)and the chiral S U(3) model.Within QCDSR,we use two approaches,i.e.,the moment sum rule and the Borel sum rule.The magnetic field induced scalar gluon condensate <αs/πGμνaGaμν> and the twist-2 gluon operator<αs/πGμσaGa νσ>calculated in the chiral S U(3) model are utilised in QCD sum rules to calculate the in-medium mass-shift of the above mesons.The attractive mass-shift of these mesons is observed,which is more sensitive to magnetic field in the high density regime for charmonium,however less so for bottomonium.These results may be helpful to understand the decay of higher quarkonium states to the lower quarkonium states in asymmetric heavy ion collision experiments.
基金
the support towards this work from the Ministry of Science and Human Resources Development (MHRD), Government of India, via Institute fellowship of the National Institute of Technology Jalandhar