2003/04/04 by Fábio L. Braghin, F. L. Braghin, Isabela P. Cavalcante +1 · 13 citations
Physics and Astronomy · #Chiral perturbation theory #Coupling constant #High-Energy Particle Collisions Research #Isoscalar #Kinetic term #Mathematical physics #Meson #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pion decay constant #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar meson #Sigma model #Skyrmion #Soliton #hep-ph
paper · pdf · doi:10.1103/physrevc.67.065207
published in Physical Review C 67(6) (American Institute of Physics) · pages, Latex, 1 eps figure. IF-USP: 2000/2003
arxiv created 2003/04/04 · openalex publication_date 2003/06/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A scalar field \ensuremathη(r) is coupled to the Skyrmion. Its classical value in the vacuum (``condensate'') reduces to the pion decay constant f_\ensuremathπ, being thus proportional to the chiral condensate 〈qq〉. A quadratic coupling of the scalar field to the pion kinetic Lagrangian term, reminiscent from the linear \ensuremathσ model, is considered. Its mass is an additional free parameter in the model associated to the lightest scalar-isoscalar meson. Solutions for the two resulting coupled differential equations are found in several cases. The nucleon, as a topological soliton, ``digs a hole'' in the vacuum, making the value of the scalar condensate to be close to zero inside the Skyrmion. Some of the observables, as for example the baryon masses, may have their values closer to the experimental ones. Derrick's stability analysis is applied to the model.