Abstract
As a continuation of our recent work on the electromagnetic properties of the doubly charmed Ξ cc baryon, we compute the charge radii and the magnetic moments of the singly charmed Σ c , Ω c and the doubly charmed Ω cc baryons in 2+1 flavor Lattice QCD. In general, the charmed baryons are found to be compact as compared to the proton. The charm quark acts to decrease the size of the baryons to smaller values. We discuss the mechanism behind the dependence of the charge radii on the light valence- and sea-quark masses. The magnetic moments are found to be almost stable with respect to changing quark mass. We investigate the individual quark sector contributions to the charge radii and the magnetic moments. The magnetic moments of the singly charmed baryons are found to be dominantly determined by the light quark and the role of the charm quark is significantly enhanced for the doubly charmed baryons.
Highlights
JHEP05(2014)125 quantities such as the electric and magnetic charge radii and the magnetic moment of the baryon
The magnetic moments of the singly charmed baryons are found to be dominantly determined by the light quark and the role of the charm quark is significantly enhanced for the doubly charmed baryons
It follows that the heavy quark plays an equivalent role with the light quark only when it is doubly represented in the baryons
Summary
Electromagnetic form factors can be calculated by considering the baryon matrix elements of the electromagnetic vector current Vμ = eqq(x)γμq(x), where q runs over the quark q content of the given baryon. The matrix element can be written in the following form. U(p) denotes the Dirac spinor for the baryon with four-momentum pμ and mass mB. F2,B(q2) are related to the electric and magnetic form factors by GE ,B (q 2 ). Our method of computing the matrix element in eq (2.1), which was employed to extract the nucleon electromagnetic form factor, follows closely that of ref. T1 is the time when the external electromagnetic field interacts with a quark and t2 is the time when the final baryon state is annihilated. The magnetic moment can be obtained from the magnetic form factor GM,B at zero momentum transfer
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