G. Raffelt et J. Silk, CAN A MASS INVERSION SAVE SOLAR-NEUTRINO OSCILLATIONS FROM THE LSND NEUTRINO, Physics letters. Section B, 366(1-4), 1996, pp. 429-433
In the light of the (nu)over bar (mu)> --> <(nu)over bar (e)> neutrino
oscillations which may have been observed at the LSND experiment we e
xplore the consequences of two inverted mass schemes where solar neutr
ino oscillations occur between nu(e) and nu(tau). One favored LSND val
ue, Delta m(2) = 6eV(2), leads to m(nu e) approximate to m(nu tau) app
roximate to 2.5 eV and m(nu mu) approximate to 0 so that cosmology can
benefit from a recently proposed ''cold plus hot dark matter'' struct
ure formation scenario with two equal mass light neutrinos (C nu(2)DM)
. Solar neutrino oscillations (nu(e) --> nu(tau)) can occur with one o
f the large mixing angle solutions so that a serious conflict with bet
a beta decay Majorana mass limits is avoided without invoking Dirac ma
sses. However, there is a problem with the SN 1987A signal because of
resonant <(nu)over bar (e)> <-> <(nu)over bar (mu)> oscillations which
are expected to cause far higher <(nu)over bar (e)> energies at the I
MB and Kamiokande II detectors than have been observed. A small value
Delta m(2) approximate to 0.5 eV(2) at LSND, which allows for a relati
vely large nu(e)-nu(mu) mixing angle without conflicting with the KARM
EN and BNL-E776 experiments, would indicate m(nu e) approximate to m(n
u tau) approximate to 1.6 eV and m(nu mu) approximate to 1.8 eV. This
scheme of C nu(3)DM maintains, and even may improve, the essential cos
mological model implications for large-scale structure, leaving no con
flict with SN r-process nucleosynthesis.