S. Kulkarni et al., RELATIVISTIC MEAN-FIELD APPROACH TO ANAPOLE MOMENT - ATOMIC PARITY-VIOLATING HYPERFINE TRANSITIONS, Physical review. C. Nuclear physics, 52(2), 1995, pp. 1047-1060
A generalized formula of nuclear anapole moment-is derived using the c
urrent relativistic nuclear approach. The Dirac spin magnetization and
the anomalous spin magnetization contributions to anapole moment are
shown to be proportional to the second moment of respective magnetizat
ions. The valence nucleon effective g(l)(g(a)) factors in a nucleus ar
e obtained from the different phenomenological generalizations of rela
tivistic nuclear magnetic moment. The unitary transformation approach
is used to derive the parity nonconserving (PNC) perturbed wave functi
ons. In the case of gl parametrization, the anomalous spin magnetizati
on and pion contributions to anapole moment are nearly two and three t
imes the Dirac magnetization contribution respectively; while for g(a)
parametrization, all the three contributions are of the same order of
magnitude. Using these calculated values of anapole moment and availa
ble atomic structure data from published literature, the Cs-133 pNC hy
perfine amplitudes are calculated. The results are closer to the exper
imental data, particularly when the measured value of ImEP1(p.v.)/beta
is used. The optical rotation angles induced by nuclear spin dependen
t PNC interaction are also calculated.