Nucleon resonances with spin $\frac{3}{2}$ and isospin $\frac{1}{2}$

Abstract

Investigation of the nucleon's excited states has always become an important research topic because of the rich information they provide. Since their first observation, dating back about 70 years, the investigation of their various parameters contributed both to the development of the quark model and better understanding of the QCD as the theory of strong interaction. Their investigation still has importance. The researches conducted on the nucleon excited states are helpful to probe missing resonances predicted by the quark model but not observed yet. With this motivation, we study the low lying nucleon resonance with $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$ and its corresponding orbital and radial excitations with $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{+})$ and $I(J^P)=\frac{1}{2}({\frac{3}{2}}^{-})$, respectively. Using the QCD sum rule method, we calculate the masses and pole residues of these states. The obtained mass results are consistent with the mass ranges presented in PDG for the resonances $N^{\ast }(1520)(3/2^{-})$, $N^{\ast }(1700)(3/2^{-})$, and $N^{\ast }(1720)(3/2^{+})$. The results of masses and residues of these states may be used as input parameters to calculate various quantities related to their electromagnetic, weak and strong interactions with other particles with the aim of getting more information on their nature and structure.

8 Pages, 1 Figure and 2 Tables

References in corpus (11)

• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Electroexcitation of the Roper resonance in the relativistic quark models
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Study of the gamma p --> pi0 pi0 p reaction with the Crystal Ball/TAPS at the Mainz
• Octet and Decuplet masses: a covariant three-body Faddeev calculation
• Spectroscopy of light $N^{\ast }$ baryons
• More about the light baryon spectrum
• Semirelativistic approximation to the ${\gamma }^{\ast }N\to N(1520)$ and ${\gamma }^{\ast }N\to N(1535)$ transition form factors
• Magnetic moments of $J^P={\frac{3}{2}}^{-}$ baryons in QCD
• $N^{\ast }(1535)\to N$ transition form-factors due to the axial current

Cited by in corpus (3)

• Spectroscopy of Light Baryons: $\Delta$ Resonances
• Spectroscopic properties of $\Delta$ Baryons
• Baryons and baryoniums in the perspective of QCD sum rules