Spin and pseudospin symmetries of the Dirac equation with confining central potentials

Autor(es)

Alberto, P. ^{[1, 2]} ; de Castro, A. S. ^[3] ; Malheiro, M. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Coimbra, Dept Phys, P-3004516 Coimbra - Portugal

^[2] Univ Coimbra, Ctr Fis Computac, P-3004516 Coimbra - Portugal

^[3] Univ Estadual Paulista, Dept Fis & Quim, BR-12516410 Sao Paulo - Brazil

^[4] Ctr Tecn Aeroesp, Inst Tecnol Aeronaut, Dept Fis, BR-12228900 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review C; v. 87, n. 3 MAR 4 2013.
• Citações Web of Science: 34

Resumo

We derive the node structure of the radial functions which are solutions of the Dirac equation with scalar S and vector V confining central potentials, in the conditions of exact spin or pseudospin symmetry, i.e., when one has V = +/- S + C, where C is a constant. We show that the node structure for exact spin symmetry is the same as the one for central potentials which go to zero at infinity but for exact pseudospin symmetry the structure is reversed. We obtain the important result that it is possible to have positive energy bound solutions in exact pseudospin symmetry conditions for confining potentials of any shape, including naturally those used in hadron physics, from nuclear to quark models. Since this does not occur for potentials going to zero at large distances, which are used in nuclear relativistic mean-field potentials or in the atomic nucleus, this shows the decisive importance of the asymptotic behavior of the scalar and vector central potentials on the onset of pseudospin symmetry and on the node structure of the radial functions. Finally, we show that these results are still valid for negative energy bound solutions for antifermions. DOI: 10.1103/PhysRevC.87.031301 (AU)

• Processo FAPESP: 07/03633-3 - A matéria hadrônica e QCD em astrofísica: supernovas, GRBS e estrelas compactas
• Beneficiário: Jorge Ernesto Horvath
• Modalidade de apoio: Auxílio à Pesquisa - Temático