Abstract
Possible assignments of highly excited varLambda _c(2860)^+, varLambda _c(2880)^+ and varLambda _c(2940)^+ are explored in a ^3P_0 strong decay model. Decay widths, branching fraction ratios R={varGamma (varSigma _c(2520)pi )over varGamma (varSigma _c(2455)pi )} and the branching fractions of DN channels of theses assignments are computed. D^0p channel is a very important channel to provide information on the inner excitation and structure of these highly excited varLambda _c. In our analysis, varLambda _c(2860)^+ may be a 1D-wave excited varLambda _c with J^P={3over 2}^+, which has dominant DN decay channels with a branching fraction {mathcal {B}}(varLambda _c(2860)^+rightarrow DN)=75% and a branching ratio R={varGamma (varSigma _c(2520)pi )over varGamma (varSigma _c(2455)pi )}=0.12. varLambda _c(2880)^+ is very possibly a 1F-wave excited varLambda _c with J^P=frac{5}{2}^-; In this assignment, the predicted total decay width (varGamma approx 4.49 MeV) is comparable to the measured varGamma =5.6^{+0.8}_{-0.6} MeV, and the predicted R={varGamma (varSigma _c(2520)pi )over varGamma (varSigma _c(2455)pi )}=0.12 is consistent with the measured R=0.225pm 0.062pm 0.025; The DN channels are its dominant strong decay channels with a branching fraction {mathcal {B}}(varLambda _c(2880)^+rightarrow DN)=94%. varLambda _c(2880)^+ seems impossibly a 1D-wave excited varLambda _c with J^P=frac{5}{2}^+ once the presently measured R={varGamma (varSigma _c(2520)pi )over varGamma (varSigma _c(2455)pi )} is confirmed. varLambda _c(2940)^+ may be a 2P-wave excited varLambda ^{1,0}_{c1,1}(frac{3}{2}^-,2P). In this case, varLambda _c(2940)^+ has a total decay width varGamma =17.56 MeV, a branching ratio R={varGamma (varSigma _c(2520)pi )over varGamma (varSigma _c(2455)pi )}=0.89 and the DN decay channels with a branching fraction {mathcal {B}}(varLambda _c(2940)^+rightarrow DN)=43%. In order to understand the inner excitation and structure of these highly excited varLambda _c, measurements of those predicted quantities are required in the future.
Highlights
In order to understand the inner excitation and structure of these highly excited Λc, measurements of those predicted quantities are required in the future
Λc(2880)+ was first observed by CLEO collaboration [2], and its quantum numbers have been constrained by Belle and LHCb collaborations [4,5] with J P = 25 +
The measured mass of Λc(2860)+ is consistent with the theoretical predictions of the orbital 1D-wave Λc excitation with quantum numbers 23 + [10,11], so Λc(2860)+ is supposed with the quantum numbers J P = 23 +
Summary
In order to understand the inner excitation and structure of these highly excited Λc, measurements of those predicted quantities are required in the future
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