49 research outputs found
Textures with two traceless submatrices of the neutrino mass matrix
We propose a new texture for the light neutrino mass matrix. The proposal is
based upon imposing zero-trace condition on the two by two sub-matrices of the
complex symmetric Majorana mass matrix in the flavor basis where the charged
lepton mass matrix is diagonal. Restricting the mass matrix to have two
traceless sub-matrices may be found sufficient to describe the current data.
Eight out of fifteen independent possible cases are found to be compatible with
current data. Numerical and some approximate analytical results are presented.Comment: 17 pages, 3 figures and 2 tables, Minor typos are correcte
High-Precision Numerical Determination of Eigenvalues for a Double-Well Potential Related to the Zinn-Justin Conjecture
A numerical method of high precision is used to calculate the energy
eigenvalues and eigenfunctions for a symmetric double-well potential. The
method is based on enclosing the system within two infinite walls with a large
but finite separation and developing a power series solution for the
Schrdinger equation. The obtained numerical results are compared with
those obtained on the basis of the Zinn-Justin conjecture and found to be in an
excellent agreement.Comment: Substantial changes including the title and the content of the paper
8 pages, 2 figures, 3 table