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- Title
Static properties of skyrmions and nucleons at finite isospin chemical potential.
- Authors
Yuan, Wen-Li; Zhao, Ya-Peng; Wu, Zu-Qing; Zong, Hong-Shi
- Abstract
We use the Skyrme Lagrangian with a finite pion mass term to study the stability of the skyrmion at finite isospin chemical potential μ I . It is found that there is a critical value μ I c ≃ 1 7 0 MeV, and there is no stable solution above the μ I c . We also explore the behavior of different skyrmion parameters as a function of μ I , in particular the isovector electric root-mean-square (rms) charge radius in this work. Then, using the Hamiltonian formulation, in terms of collective variables, we study the behavior of nucleons mass splitting at finite isospin chemical potential. We find the proton mass decreases and the neutron mass increases when μ I < μ I c . Finally, we also discuss the magnetic moments and the pion-nucleon sigma term σ as a function of isospin chemical potential for interest.
- Subjects
CHEMICAL potential; ISOBARIC spin; SKYRMIONS; PARTICLES (Nuclear physics); SKYRME model; NUCLEAR matter
- Publication
Modern Physics Letters A, 2021, Vol 36, Issue 7, pN.PAG
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732321500462