Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials

被引:11
作者
Castro, Luis B. [1 ]
de Castro, Antonio S. [1 ]
机构
[1] UNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, SP, Brazil
关键词
D O I
10.1088/0031-8949/75/2/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Klein - Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, V-v = V-s + constant. These isospectral problems are solved in the case of squared trigonometric potential functions and bound states for either particles or antiparticles are found. The eigenvalues and eigenfunctions are discussed in some detail. It is revealed that a spin-0 particle is better localized than a spin-1/2 particle when they have the same mass and are subjected to the same potentials.
引用
收藏
页码:170 / 173
页数:4
相关论文
共 26 条
  • [1] Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
    Alberto, P
    Fiolhais, M
    Malheiro, M
    Delfino, A
    Chiapparini, M
    [J]. PHYSICAL REVIEW C, 2002, 65 (03) : 343071 - 343079
  • [2] Isospin asymmetry in the pseudospin dynamical symmetry
    Alberto, P
    Fiolhais, M
    Malheiro, M
    Delfino, A
    Chiapparini, M
    [J]. PHYSICAL REVIEW LETTERS, 2001, 86 (22) : 5015 - 5018
  • [3] [Anonymous], 1964, Handbook of mathematical functions
  • [4] BRAUN O. M., 2004, TEXT MONOGR
  • [5] Pseudospin symmetry in relativistic framework with harmonic oscillator potential and Woods-Saxon potential
    Chen, TS
    Lü, HF
    Meng, J
    Zhang, SQ
    Zhou, SG
    [J]. CHINESE PHYSICS LETTERS, 2003, 20 (03) : 358 - 361
  • [6] Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator
    de Castro, A. S. t
    Alberto, P.
    Lisboa, R.
    Malheiro, M.
    [J]. PHYSICAL REVIEW C, 2006, 73 (05):
  • [7] Effects of a mixed vector-scalar screened coulomb potential for spinless particles
    De Castro, Antonio S.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (25): : 5141 - 5149
  • [8] Confinement of spinless particles by Coulomb potentials in two-dimensional space-time
    de Castro, AS
    [J]. PHYSICS LETTERS A, 2005, 346 (1-3) : 71 - 76
  • [9] Klein-Gordon particles in mixed vector-scalar inversely linear potentials
    de Castro, AS
    [J]. PHYSICS LETTERS A, 2005, 338 (02) : 81 - 89
  • [10] Bounded solutions of fermions in the background of mixed vector-scalar inversely linear potentials
    de Castro, AS
    [J]. ANNALS OF PHYSICS, 2005, 316 (02) : 414 - 430