TY - JOUR

T1 - Radial and orbital Regge trajectories in heavy quarkonia

AU - Badalian, A. M.

AU - Bakker, B. L.G.

PY - 2019/9/26

Y1 - 2019/9/26

N2 - The spectra of heavy quarkonia are studied in two approaches: with the use of the Afonin-Pusenkov representation of the Regge trajectories for the squared excitation energy E2(nl) (ERT) and using the relativistic Hamiltonian with the universal interaction. The parameters of the ERTs are extracted from the experimental masses and in both cases, bottomonium and charmonium, the value of the radial slope bn(QQ̄) appears to be ∼40% larger than the orbital slope bl(QQ̄): in particular in bottomonium the orbital slope bl(bb̄)=0.50(1) GeV2, the radial slope bn(bb̄)=0.71(1) GeV2 and in charmonium bl(cc̄)=0.76(2) GeV2, bn(cc̄)=1.02(8) GeV2; in both cases the slopes do not depend on the total momentum J, while the intercepts are different for the states with different J. For the resonances above the DD̄ threshold, we predict M(χc0(nP)) (in MeV) as 3415, 3862(8), 4196(12), 4475(15), and 4720(17); M(χc1(nP)) (in MeV) as 3511, 3943(7), 4274(11), and 4553(15); and M(χc2)(nP)) (in MeV) as 3556, 3.928(4), 4223(6), and 4474(8) for nr=0, 1, 2, 3, which are in good agreement with the experimental masses, and for the nD33 states the masses M(ψ3(nD33)) (in MeV) as 3857(8), 4197(11), 4479(13), and 4700(13) are predicted. In bottomonium above the BB̄ threshold, the resonances (3D31) with the mass 10698(8) MeV and χb1(4P31) with the mass 10758(3) MeV are obtained.

AB - The spectra of heavy quarkonia are studied in two approaches: with the use of the Afonin-Pusenkov representation of the Regge trajectories for the squared excitation energy E2(nl) (ERT) and using the relativistic Hamiltonian with the universal interaction. The parameters of the ERTs are extracted from the experimental masses and in both cases, bottomonium and charmonium, the value of the radial slope bn(QQ̄) appears to be ∼40% larger than the orbital slope bl(QQ̄): in particular in bottomonium the orbital slope bl(bb̄)=0.50(1) GeV2, the radial slope bn(bb̄)=0.71(1) GeV2 and in charmonium bl(cc̄)=0.76(2) GeV2, bn(cc̄)=1.02(8) GeV2; in both cases the slopes do not depend on the total momentum J, while the intercepts are different for the states with different J. For the resonances above the DD̄ threshold, we predict M(χc0(nP)) (in MeV) as 3415, 3862(8), 4196(12), 4475(15), and 4720(17); M(χc1(nP)) (in MeV) as 3511, 3943(7), 4274(11), and 4553(15); and M(χc2)(nP)) (in MeV) as 3556, 3.928(4), 4223(6), and 4474(8) for nr=0, 1, 2, 3, which are in good agreement with the experimental masses, and for the nD33 states the masses M(ψ3(nD33)) (in MeV) as 3857(8), 4197(11), 4479(13), and 4700(13) are predicted. In bottomonium above the BB̄ threshold, the resonances (3D31) with the mass 10698(8) MeV and χb1(4P31) with the mass 10758(3) MeV are obtained.

UR - http://www.scopus.com/inward/record.url?scp=85072977086&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072977086&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.100.054036

DO - 10.1103/PhysRevD.100.054036

M3 - Article

AN - SCOPUS:85072977086

VL - 100

SP - 1

EP - 10

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 5

M1 - 054036

ER -