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I$_{2}$ molecule for neutrino mass spectroscopy: ab initio calculation of spectral rate
- Source :
- Prog. Theor. Exp. Phys. (2014) 013B02
- Publication Year :
- 2013
-
Abstract
- It has recently been argued that atoms and molecules may become good targets of determining neutrino parameters still undetermined, if atomic/molecular process is enhanced by a new kind of coherence. We compute photon energy spectrum rate arising from coherent radiative neutrino pair emission processes of metastable excited states of I$_2$ and its iso-valent molecules, $|Av \rangle \rightarrow |Xv' \rangle + \gamma + \nu_i\nu_j$ and $|A'v \rangle \rightarrow |Xv' \rangle + \gamma + \nu_i\nu_j$ with $\gamma$ an IR photon and $\nu_{i(j)}$ $i(j)-$th neutrino mass eigenstates, and show how fundamental neutrino parameters may be determined. Energies of electronically excited states of I$_2$, including the effect of spin-orbit couplings were calculated by the multiconfigurational second order perturbation (CASPT2) method. Summation over many vibrational levels of intermediate states is fully incorporated. Unlike atomic candidate of a much larger energy difference such as Xe, I$_2$ transitions from a vibrational level $A(v=0)$ to $X(v' = 24)$ give an opportunity of determination of the mass type (Majorana vs Dirac distinction) and determination of Majorana CPV (charge-conjugation parity violating) phases, although the rate is much smaller.<br />Comment: 24 pages, 19 figures
Details
- Database :
- arXiv
- Journal :
- Prog. Theor. Exp. Phys. (2014) 013B02
- Publication Type :
- Report
- Accession number :
- edsarx.1310.7342
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1093/ptep/ptt118