Year-end Sale % OFF 
Abstract
In this paper, we solve the eigen solutions to the Dirac equation with local parabolic potential which is approximately equal to the short distance potential generated by spinor itself. The energy spectrum is quite different from that with Coulomb potential. The mass spectrum of some bary-ons is similar to this one. The angular momentum-mass relation is quite similar to the Regge trajectories. The parabolic potential has a structure of asymptotic freedom near the center and confinement at a large distance. So, the results imply that, the local parabolic potential may be more suitable for describing the nuclear potential. The procedure of solving can also be used for some other cases of Dirac equation with complicated potential.
Highlights
The relation between mass m and quantum numbers (n, J ) is usually described by the Regge-Chew-Frautschi formula [1] [2], m2 = an + bJ + m0 (1.1)where (a,b, m0 ) are constants for the exited states of the same kind particle
We solve the eigen solutions to the Dirac equation with local parabolic potential which is approximately equal to the short distance potential generated by spinor itself
The results imply that, the local parabolic potential may be more suitable for describing the nuclear potential
Summary
The relation between mass m and quantum numbers (n, J ) is usually described by the Regge-Chew-Frautschi formula [1] [2], m2 = an + bJ + m0. No matter what confining potential is, the analytic relation m = f (n, J ) for the excited states always exists. As pointed out in [58], a better understanding of the nucleon as a bound state of quarks and gluons as well as the spectrum and internal structure of excited baryons remains a fundamental challenge and goal in hadronic physics. The spectroscopy of excited baryon resonances and the study of their properties are complementary to understanding the structure of the nucleon in deep inelastic scattering experiments that provide access to the properties of its constituents in the ground state. By the Regge trajectories we find the excited states may be relevant to some of baryons
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 callMore From: Journal of High Energy Physics, Gravitation and Cosmology
Disclaimer: 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.
