Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2006-04-25
Phys.Rev. C73 (2006) 054309
Physics
Nuclear Physics
Nuclear Theory
33 pages, 10 figures, uses revtex macros
Scientific paper
10.1103/PhysRevC.73.054309
We solve the generalized relativistic harmonic oscillator in 1+1 dimensions, i.e., including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs. We consider positive and negative quadratic potentials and discuss in detail their bound-state solutions for fermions and antifermions. The main features of these bound states are the same as the ones of the generalized three-dimensional relativistic harmonic oscillator bound states. The solutions found for zero pseudoscalar potential are related to the spin and pseudospin symmetry of the Dirac equation in 3+1 dimensions. We show how the charge conjugation and $\gamma^5$ chiral transformations relate the several spectra obtained and find that for massless particles the spin and pseudospin symmetry related problems have the same spectrum, but different spinor solutions. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with scalar, vector and isoscalar tensor interactions and discuss the conditions in which one may have both nucleon and antinucleon bound states.
Alberto Pedro
de Castro Antonio Soares
Lisboa R.
Malheiro Manuel
No associations
LandOfFree
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-433611