Nota de FísicaPublicado
On the physical content of the SU (2) Skyrme model
Juan Alberto Mignaco; Stenio Wulck
1991
Dados da publicação
- Autores
- Juan Alberto Mignaco; Stenio Wulck
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1991
- Descrição
- The solutions for the Skyrme model in the hedgehog <math>SU(2)\,\!</math> representation are analized as a function of the parameters of the model, Sum rules obtained from the Euler-Lagrange differential equations are efficient tools for this analysis, and use is made also of the original Derrick's argument regarding stability in a constructive way. It is found that the evolution of the solutions seem appropriately described by a specific control parameter <math>\phi\,\!</math> , which has distinctive values <math>\phi_1,\,\!</math> <math>\phi_2,\,\!</math> <math>\phi_3,...\,\!</math> for solutions corresponding to solitons with different integer baryon number <math>1, 2, 3, ...\,\!</math> respectively. It is emphasized that a dimensional parameter appears for the regular solutions, which can be taken as the slope of the chiral angle. The Skyrme parameter is shown to have a distinctive rôle, inasmuch as it denotes the instability of the classical soliton solution with integer baryon number. Moreover, the quantization through collective coordinates leads to an expression for the energy that has a well defined stable minimum in terms of the dimensionless Skyrme parameter for the each integer baryon number. The main features for the lower baryon numbers are presented for this solution, The baryon masses are obtained in terms of specific numbers depending on <math>\phi\,\!</math>, the angular momentum and of the pion decay constant, <math> f \pi\,\!</math>. There is a <math>B=2. I=J=1\,\!</math> baryon with almost twice the value of the mass of the <math>B=1, I=J=1/2\,\!</math> case, but the state <math>B=3, I=J=1/2\,\!</math> is lighter than the former. All baryons turn to be narrower with the increase of <math>B\,\!</math>, even the nucleon candidate is essentially more little than the physical nucleon, A scheme of consistent low energy approximation is suggested.
- Ano
- 1991
- Número
- CBPF-NF-041/91
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não