Excitation energy spectra of the $\Lambda_{c}$ and $\Lambda_{b}$ baryons in a finite-size diquark model

Kumakawa, Kento; Jido, Daisuke

doi:10.1093/ptep/ptx155

Excitation energy spectra of the $\Lambda_{c}$ and $\Lambda_{b}$ baryons in a finite-size diquark model

Aug 7, 2017

17 pages

Published in:

PTEP 2017 (2017) 12, 123D01

Published: Dec 1, 2017

e-Print:

1708.02012 [nucl-th]

DOI:

10.1093/ptep/ptx155

View in:

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Abstract: (Oxford University Press)

The excitation energies of the

\Lambda_{c}

and

\Lambda_{b}

baryons are investigated in a finite-size diquark potential model, in which the heavy baryons are treated as bound states of a charm quark and a scalar–isoscalar diquark. The diquark is considered as a sizable object. The quark–diquark interaction is calculated as a sum of the quark–quark interaction that is assumed to be half of the quark–antiquark interaction for the color singlet. The potential parameters in the quark–antiquark interaction are fixed so as to reproduce the charmonium spectrum. We find the diquark size to be 1.1 fm for the diquark mass 0.5 GeV/

c^{2}

to reproduce the

1p

excitation energy of

\Lambda_{c}

. In this model, the

\Lambda_{c}

and

\Lambda_{b}

excitation spectra are reproduced well, while this model does not explain

\Lambda_{c}(2765)

, whose isospin and spin–parity are still unknown. Thus, the detailed properties of

\Lambda_{c}(2765)

are very important to the presence of the diquark in heavy baryons as an effective constituent. We also discuss the

\Xi_{c}

spectrum with the scalar strange diquark.

Note:

17 pages, 8 figures

quark antiquark: interaction
excited state: energy
baryon: heavy
diquark: size
diquark: mass
excited state: spectrum
excited state: energy spectrum
quark quark: interaction
color: singlet
finite size

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