Generalized “Similarity” Relation and Trilinear Matrix Elements

Matrix Elements of Generalized Coherent Operators

Explicit forms of matrix elements of generalized coherent operators based on Lie algebras su(1,1) and su(2) are given. ∗E-mail address : [email protected]

Trilinear Constraints Revisited: Generalized Trilinear Constraints and the Tensor Brightness Constraint

Relation between the 0νββ and 2νββ nuclear matrix elements reexamined

We show that the dominant Gamow-Teller part, M GT, of the nuclear matrix element governing the neutrinoless ββ decay is related to the matrix element M cl governing the allowed two-neutrino ββ decay. That relation is revealed when these matrix elements are expressed as functions of the relative distance r between the pair of neutrons that are transformed into a pair of protons in the ββ decay. ...

Relation between the 2νββ and 0νββ nuclear matrix elements

A formal relation between the GT part of the nuclear matrix elements M0ν GT of 0νββ decay and the closure matrix elements M2ν cl of 2νββ decay is established. This relation is based on the integral representation of these quantities in terms of their dependence on the distance r between the two nucleons undergoing transformation. We also discuss the difficulties in determining the correct value...

Cubic Matrix, Generalized Spin Algebra and Uncertainty Relation

We propose a generalization of spin algebra using three-index objects. There is a possibility that a triple commutation relation among three-index objects implies a kind of uncertainty relation among their expectation values. E-mail: [email protected]