Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-03-08
Phys.Rev.D82:034008,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 5 figures, 2 tables; Paper upgraded in accord with the published version. Discussion on the meson sector included
Scientific paper
10.1103/PhysRevD.82.034008
The degeneracy among parity pairs systematically observed in the N and Delta spectra is interpreted to hint on a possible conformal symmetry realization in the light flavor baryon sector in line with AdS_5/CFT_4. The case is made by showing that all the observed N and Delta resonances with masses below 2500 MeV distribute fairly well each over the first levels of a unitary representation of the conformal group, a representation that covers the spectrum of a quark-diquark system, placed directly on the AdS_5 cone, conformally compactified to R^1*S^3. The free geodesic motion on the S^3 manifold is described by means of the scalar conformal equation there, which is of the Klein-Gordon type. The equation is then gauged by the "curved" Coulomb potential that has the form of a cotangent function. Conformal symmetry is not exact, this because the gauge potential slightly modifies the conformal centrifugal barrier of the free geodesic motion. Thanks to this, the degeneracy between P11-S11 pairs from same level is relaxed, while the remaining states belonging to same level remain practically degenerate. The model describes the correct mass ordering in the P11-S11 pairs through the nucleon spectrum as a combined effect of the above conformal symmetry breaking, on the one side, and a parity change of the diquark from a scalar at low masses, to a pseudoscalar at higher masses, on the other. The quality of the wave functions is illustrated by calculations of realistic mean-square charge radii and electric charge form-factors on the examples of the proton, and the protonic P11(1440), and S11(1535) resonances. The scheme also allows for a prediction of the dressing function of an effective instantaneous gluon propagator from the Fourier transform of the gauge potential. We find a dressing function that is finite in the infrared and tends to zero at infinity.
Compean C. B.
Kirchbach Mariana
No associations
LandOfFree
Conformal symmetry and light flavor baryon spectra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conformal symmetry and light flavor baryon spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal symmetry and light flavor baryon spectra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-454143