T. Totani et K. Sato, RESONANT SPIN-FLAVOR CONVERSION OF SUPERNOVA NEUTRINOS AND DEFORMATION OF THE ELECTRON ANTINEUTRINO SPECTRUM, Physical review. D. Particles and fields, 54(10), 1996, pp. 5975-5992
The neutrino spin-flavor conversion of <(nu)over bar>(e)<->nu(mu) whic
h is induced by the interaction of the neutrino magnetic moment and ma
gnetic fields in the collapse-driven supernova is investigated in deta
il. We calculate the conversion probability by using the latest precol
lapse models of Woosley and Weaver, and also those of Nomoto and Hashi
moto, changing the stellar mass and metallicity in order to estimate t
he effect of the astrophysical uncertainties. Contour maps of the conv
ersion probability are given for all the models as a function of the n
eutrino mass-squared difference over neutrino energy (Delta m(2)/E(nu)
) and the neutrino magnetic moment times magnetic fields (mu(nu)B). Th
e expected deformation of the <(nu)over bar>(e) spectrum can be clearl
y seen from these maps, and some qualitative features which will be us
eful in future observations are summarized. It is shown that in the so
lar metallicity models some observational effects are expected with De
lta m(2) = 10(-5)-10(-1) [eV(2)] and mu(nu)greater than or similar to
10(-12)(10(9) G/B-0) [mu(B)], where B-0 is the strength of the magneti
c fields at the surface of the iron core, and B-0=10(9) [Gauss] is a r
easonable value which is inferred from the observed magnetic fields in
white dwarfs. We also find that:although the dependence on the stella
r models or stellar mass is not so large, the metallicity of precollap
se stars has a considerable effect on this conversion. In lower metall
icity stars, strong precession between <(nu)over bar>(e) and nu(mu) oc
curs with small Delta m(2)/E(nu) (less than or similar to 10(-8) [eV(2
)/MeV]), and the conversion probability changes periodically with B-0.
Such effects may be seen in a supernova in the Large or Small Magella
nic Clouds, and should be taken into account when one considers an upp
er bound on mu(nu) from the SN 1987A data.