Study of the Effect of Newly Calculated Phase Space Factor on β-Decay Half-Lives

We present results for β-decay half-lives based on a new recipe for calculation of phase space factors recently introduced. Our study includes fp-shell and heavier nuclei of experimental and astrophysical interests. The investigation of the kinematics of some β-decay half-lives is presented, and new phase space factor values are compared with those obtained with previous theoretical approximations. Accurate calculation of nuclear matrix elements is a prerequisite for reliable computation of β-decay half-lives and is not the subject of this paper. This paper explores if improvements in calculating the β-decay half-lives can be obtained when using a given set of nuclear matrix elements and employing the new values of the phase space factors. Although the largest uncertainty in half-lives computations come from the nuclear matrix elements, introduction of the new values of the phase space factors may improve the comparison with experiment. The new half-lives are systematically larger than previous calculations and may have interesting consequences for calculation of stellar rates.

GUP deformed phase-space and axiomatic thermodynamic self-consistency

Based on the generalized uncertainty principle (GUP) with a deformation of the phase-space, the partition function has recently been modified. In the present work, we analyze the self-consistency of the axiomatic thermodynamics derived from the deformed partition function. First, we set up the thermodynamic quantities such as pressure, energy density, entropy and number density, then we extend the study for testing the approval of consistency. We found that the deformed phase-space satisfies the axiomatic self-consistency of thermodynamics. We would expect the effects of GUP to be more pronounced at high frequencies, but the used deformed phase-space factor would still diverge as [Formula: see text] approaches [Formula: see text].

RATE OF PARITY VIOLATION FROM MEASURE CONCENTRATION

We present a geometric argument determining the kinematic (phase-space) factor contributing to the relative rate at which degrees of freedom of one chirality come to dominate over degrees of freedom of opposite chirality, in models with parity violation. We rely on the measure concentration of a subset of a Euclidean cube which is controlled by an isoperimetric inequality. We provide an interpretation of this result in terms of ideas of statistical mechanics.

STRUCTURELESS COMPOSITENESS AND THE LEP W+W- DATA

We specify the electroweak scenario of structureless compositeness (SC) put forward previously to the case of identical masses m(W±)=m(Φ±) and m(Z)=m(Φ0). The resulting quantum-mechanical interference will exhibit a vector–scalar phase interlocking of exactly π. We calculate the total cross-section of e+e-→ W+W- in this scenario and compare with the SM. The experimental data is found not to rule out any of the four scenarios SM, κ an =0, SC at κ=1 and 0. Pronounced differences between these four cases show up for the σ tot contribution of the W L W L final state. The effects are illustrated in plots free of the trivial phase-space factor.