Abstract:We compute the masses of the ground state baryons and their spin excited states discussing quark wave functions in baryons. Doubly charmed baryon masses are given in the expected accuracy of Ϯ10 MeV.
“…[2]. However, masses are very insensitive to hyperfine mixing and most mass calculations [3,4,5,6,7,8,9,10,11,12,13,14] just ignore the mixing and use the S h -basis.…”
We qualitatively corroborate the results of W. Roberts and M. Pervin in Int. J. Mod. Phys. A 24, 2401 according to which hyperfine mixing greatly affects the decay widths of b → c semileptonic decays involving doubly heavy bc baryons. However, our predictions for the decay widths of the unmixed states differ from those reported in the work of Roberts and Pervin by a factor of 2, and this discrepancy translates to the mixed case. We further show that the predictions of heavy quark spin symmetry, might be used in the future to experimentally extract information on the admixtures in the actual physical bc baryons, in a model independent manner.
“…[2]. However, masses are very insensitive to hyperfine mixing and most mass calculations [3,4,5,6,7,8,9,10,11,12,13,14] just ignore the mixing and use the S h -basis.…”
We qualitatively corroborate the results of W. Roberts and M. Pervin in Int. J. Mod. Phys. A 24, 2401 according to which hyperfine mixing greatly affects the decay widths of b → c semileptonic decays involving doubly heavy bc baryons. However, our predictions for the decay widths of the unmixed states differ from those reported in the work of Roberts and Pervin by a factor of 2, and this discrepancy translates to the mixed case. We further show that the predictions of heavy quark spin symmetry, might be used in the future to experimentally extract information on the admixtures in the actual physical bc baryons, in a model independent manner.
“…The lightest doubly charmed baryon contains two charm quarks and one up or down quark (Ξ þ cc ¼ ccd, Ξ þþ cc ¼ ccu), and the spin-parity of the ground state is expected to be 1 2 þ . The mass of the Ξ cc has been extensively studied theoretically, and the prediction of the quark model ranges from 3.48 GeV=c 2 to 3.74 GeV=c 2 [10][11][12][13][14][15][16][17][18][19][20][21][22], whereas the mass predicted by lattice QCD ranges from 3.51 GeV=c 2 to 3.67 GeV=c 2 [23][24][25][26][27]. The cross sections of the Ξ cc production in the process e þ e − → Ξ cc X at ffiffi ffi s p ¼ 10.58 GeV, where X denotes the remaining particles produced in the fragmentation, is predicted to be 70 fb in Ref.…”
We report results of a study of doubly charmed baryons and charmed strange baryons. The analysis is performed using a 980 fb −1 data sample collected with the Belle detector at the KEKB asymmetric-energy e þ e − collider. We search for doubly charmed baryons Ξ þðþÞ cc with the Λ þ c K − π þ ðπ þ Þ and Ξ 0 c π þ ðπ þ Þ final states. No significant signal is observed. We also search for two excited charmed strange baryons, Ξ c ð3055Þ þ and Ξ c ð3123Þ þ with the Σ þþ c ð2455ÞK − and Σ þþ c ð2520ÞK − final states. The Ξ c ð3055Þ þ signal is observed with a significance of 6.6 standard deviations including systematic uncertainty, while no signature of the Ξ c ð3123Þ þ is seen. We also study properties of the Ξ c ð2645Þ þ and measure a width of 2.6 AE 0.2ðstatÞ AE 0.4ðsystÞ MeV=c 2 , which is the first significant determination.
“…Another striking result appearing in the obtained spectra concerns the J P = 1/2 + − J P = 3/2 + spin splitting, it appears to be much smaller than the one predicted based on potential models directly obtained from the cc spectra [5][6][7][8][9]. Such a small spin splitting seems to be related with our scale-dependent quark-gluon coupling constant and the fact that the ∆ − N mass difference is correctly reproduced.…”
Section: Introductionmentioning
confidence: 69%
“…The spin of the third quark is either parallel, J = 3/2, or anti-parallel, J = 1/2, to the diquark. The J = 3/2 state has been predicted to be heavier than the J = 1/2 state by around 80 MeV/c 2 [5][6][7][8][9]. For the ccc system the Pauli principle demands a J = 3/2 ground state.…”
We study the mass spectrum of baryons with two and three charmed quarks. For double charm baryons the spin splitting is found to be smaller than standard quark-model potential predictions. This splitting is not influenced either by the particular form of the confining potential or by the regularization taken for the contact term of the spin-spin potential. We consistently predict the spectra for triply charmed baryons.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.