221 research outputs found

    Textures with two traceless submatrices of the neutrino mass matrix

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    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

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    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 Schro¨\ddot{o}dinger 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

    Symmetric Triple Well with Non-Equivalent Vacua: Instantonic Approach

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    We show that for the triple well potential with non-equivalent vacua, instantons generate for the low lying energy states a singlet and a doublet of states rather than a triplet of equal energy spacing. Our energy splitting formulae are also confirmed numerically. This splitting property is due to the presence of non-equivalent vacua. A comment on its generality to multi-well is presented.Comment: 10 pages, 3 figures, 2 tables; minor changes; added reference

    Texture of Two Vanishing Subtraces in Neutrino Mass Matrix and Current Experimental Tests

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    We present a full phenomenological and analytical study for the neutrino mass matrix characterized by two vanishing 2Ă—22\times2 subtraces. We update one past result in light of the recent experimental data. Out of the fifteen possible textures, we find seven cases can accommodate the experimental data instead of eight ones in the past study. We also introduce few symmetry realizations for viable and nonviable textures based on non-abelian (A4A_4 or S4S_4) flavor symmetry within type II seesaw scenario.Comment: pdflatex, 57 pages, 10 tables, 9 figures, version to appear in PR

    Inclusion Properties for Certain Subclasses of Uniformly P-Valent Analytic Functions Involving Linear Operator

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    In this paper, the authors study some inclusion results for new subclasses of b-uniformly -valent functions in the open unit disc defined by differ-integral operator and some results of certain integral operator are also obtained

    Spectrum of One-Dimensional Anharmonic Oscillators

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    We use a power-series expansion to calculate the eigenvalues of anharmonic oscillators bounded by two infinite walls. We show that for large finite values of the separation of the walls, the calculated eigenvalues are of the same high accuracy as the values recently obtained for the unbounded case by the inner-product quantization method. We also apply our method to the Morse potential. The eigenvalues obtained in this case are in excellent agreement with the exact values for the unbounded Morse potential.Comment: 11 pages, 5 figures, 4 tables; there are changes to match the version published in Can. J. Phy
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