Open AccessKUSTANNHEIMO -STIEFEI TRANSFORMATION OF BARY-ON STRUCTURE MODEL WITH A FOUR-DIMENSI-ONAL COVARIANT HARMONIC OSCILLATOR
Author(s) -
Long Jun-Yan
Publication year - 1994
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.43.717
Subject(s) - covariant transformation , physics , baryon , harmonic oscillator , transformation (genetics) , basis (linear algebra) , harmonic , constraint (computer aided design) , mathematical physics , hydrogen atom , classical mechanics , quantum mechanics , particle physics , mathematics , geometry , group (periodic table) , biochemistry , chemistry , gene
In this paper, we assume there exist no three-body forces in a baryon. So that the constraint equations for two particles Pi2+U(x2)+mi2=0 (i=12 )can be applied to the SU3 model of the baryon. Next, we take U(x2) as a+bx2. By use of a proper coordinate transformation, the internal motion of the baryon can be reduced to double covariant harmonic oscillators. From the Kustannheimo-Stiefel transformation, the problem of a covariant harmonic oscillator can be transformed to that of a threedimensional hydrogen atom with constranits. On that basis, the difficulty of the excitation of the time degree of freedom can be avoided naturally and the mass-squared formula for baryons can be obtained.