Processing math: 100%

A survey of heavy–heavy hadronic molecules

Xiang-Kun Dong,Feng-Kun Guo,Bing-Song Zou

Table 3. Pole positions of double-charm-hadron systems with I = 0 and P = +. E_th in the second column is the threshold in MeV. The results as given in the last columns corresponds to using the cutoff Λ = 0.5 (1.0) GeV for equation (17) used to determine the subtraction constant a(μ) in equation (15), respectively. In the last two columns, the first number in the parenthesis refers to the Riemann sheet (RS) where the pole is located while the second number means the distance between the pole position and the corresponding threshold, namely, E_B ≡ E_th − E_pole, in units of MeV.

System	E_th [MeV]	J^P	(RS, E_B [MeV])
			0.5 GeV	1.0 GeV
DD^*	3876	1⁺	(2, 3.58)	(1, 5.96)
D^D^	4017	1⁺	(2, 2.68)	(1, 7.07)
D₁D₁	4844	1⁺	(2, 0.321)	(1, 12.2)
D₁D₂	4885	(1, 2, 3)⁺	(2, 0.277)	(1, 12.4)
D₂D₂	4926	(1, 3)⁺	(2, 0.237)	(1, 12.6)
Σ_cΣ_c	4907	0⁺	(1, 2.72)	(1, 35.2)
ξ_cξ_c	4939	1⁺	(2, 43.4)	(2,10.1)
${{\rm{\Sigma }}}_{c}{{\rm{\Sigma }}}_{c}^{* }$	4972	(1, 2)⁺	(1, 2.79)	(1, 35.1)
${{\rm{\Sigma }}}_{c}^{* }{{\rm{\Sigma }}}_{c}^{* }$	5036	(0, 2)⁺	(1, 2.86)	(1, 35.1)
${{\rm{\Xi }}}_{c}{{\rm{\Xi }}}_{c}^{{\prime} }$	5048	(0, 1)⁺	(2, 40.1)	(2, 8.55)
${{\rm{\Xi }}}_{c}{{\rm{\Xi }}}_{c}^{* }$	5115	(1, 2)⁺	(2, 38.3)	(2, 7.73)
${{\rm{\Xi }}}_{c}^{{\prime} }{{\rm{\Xi }}}_{c}^{{\prime} }$	5158	1⁺	(2, 36.9)	(2, 7.14)
${{\rm{\Xi }}}_{c}^{* }{{\rm{\Xi }}}_{c}^{{\prime} }$	5225	(1, 2)⁺	(2, 35.2)	(2, 6.4)
${{\rm{\Xi }}}_{c}^{* }{{\rm{\Xi }}}_{c}^{* }$	5292	(1, 3)⁺	(2, 33.4)	(2, 5.7)
D₁ξ_c	4891	${\left(\tfrac{1}{2},\tfrac{3}{2}\right)}^{+}$	(1, 2.78)	(1, 35.5)
D₂ξ_c	4932	${\left(\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$	(1, 2.83)	(1, 35.5)
${D}_{1}{{\rm{\Xi }}}_{c}^{{\prime} }$	5001	${\left(\tfrac{1}{2},\tfrac{3}{2}\right)}^{+}$	(1, 2.89)	(1, 35.4)
${D}_{2}{{\rm{\Xi }}}_{c}^{{\prime} }$	5042	${\left(\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$	(1, 2.94)	(1, 35.4)
${D}_{1}{{\rm{\Xi }}}_{c}^{* }$	5068	${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$	(1, 2.96)	(1, 35.3)
${D}_{2}{{\rm{\Xi }}}_{c}^{* }$	5109	${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},\tfrac{7}{2}\right)}^{+}$	(1, 3.0)	(1, 35.3)
D_s1ω_c	5230	${\left(\tfrac{1}{2},\tfrac{3}{2}\right)}^{+}$	(1, 0.0298)	(1, 17.4)
D_s2ω_c	5264	${\left(\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$	(1,0.039)	(1, 17.5)
${D}_{s1}{{\rm{\Omega }}}_{c}^{* }$	5301	${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2}\right)}^{+}$	(1, 0.0474)	(1, 17.6)
${D}_{s2}{{\rm{\Omega }}}_{c}^{* }$	5335	${\left(\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},\tfrac{7}{2}\right)}^{+}$	(1, 0.0588)	(1, 17.7)