Advances in High Energy Physics / 2014 / Article / Tab 1

Research Article

Eta Prime Gluonic Contribution to the Nucleon Self-Energy in an Effective Theory

Table 1

Self-energy of a nucleon, , arising due to its interactions with the topological charge density in monopole, dipole, exponential, and sharp cutoff schemes as a function of regulator scale Λ. - mixing angle θ is taken as −18.5°. In dipole and exponential regularizations, in the tadpole diagram the form factor (which appears at each vertex in the self-energy diagram), or , has been used. Numerical values of Λ and are in GeV unit.

Λ (GeV) (GeV)
Monopole Dipole ExponentialSharp cutoff

0.6−0.033−0.025−0.015−0.004−0.050−0.027−0.017−0.013
0.8−0.078−0.055−0.036−0.010−0.112−0.062−0.040−0.036
1.0−0.148−0.100−0.071−0.021−0.206−0.118−0.078−0.076
1.2−0.248−0.161−0.121−0.037−0.334−0.198−0.135−0.136