Abstract
Families of $J^P=1/2+$ nucleons (N(939), N(1440), N(1710), N(1880), N(2100), N(2300)) and $J^P=3/2-$ nucleons (N(1520), N(1700), N(1875) and N(2120)) are scrutinized from the point of view of the configurational entropy (CE). The mass spectra of higher $J^P$ resonances in each one of these families are then obtained when configurational-entropic Regge trajectories, that relate the CE of nucleon families to both their $J^P$ spin and also to their experimental mass spectra, are interpolated. The mass spectra of the next generation of nucleon resonances are then compared to already established baryonic states in PDG. Besides the zero temperature case, the finite temperature analysis is also implemented.
Highlights
The configurational entropy (CE) represents a measure of spatial correlations, in the very same sense of the pioneering Shannon’s information entropy
The fundamental interpretation of the CE consists of the limit to a lossless compression rate of information that is inherent to any physical system
Besides the quadratic dilaton field φðzÞ 1⁄4 k2z2 usually employed in the anti–de Sitter (AdS)-quantum chromodynamics (QCD) soft wall model, a thermal prefactor, e−λTðzÞ, is introduced, where λT
Summary
The configurational entropy (CE) represents a measure of spatial correlations, in the very same sense of the pioneering Shannon’s information entropy. This paper is organized as follows: Sec. II briefly introduces the soft wall AdS/QCD model, presenting the nucleon resonances and the obtention of their mass spectra. [47,48] to describe fermions, both at zero and finite temperature, in the AdS/QCD soft wall model. Besides the quadratic dilaton field φðzÞ 1⁄4 k2z2 usually employed in the AdS-QCD soft wall model, a thermal prefactor, e−λTðzÞ, is introduced, where λT ðzÞ α. The experimental data from [11] are presented in the third column and the soft wall result (20) in the fourth column of Table I This makes possible to illustrate the mass spectra (20).
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
