Atmospheric neutrino oscillations with three neutrinos and a mass hierarchy

A comprehensive formalism for the description of neutrino oscillations in the Earth in a general scheme with three massive neutrinos and the mass hierarchy m_1<<m_2<<m_3 is presented. Using this formalism, which is valid both in vacuum and in a medium, the matter effect on the oscillations of low-energy neutrinos is discussed, pointing out the existence of very long oscillations which are independent of the neutrino masses and the neutrino energy, and are very sensitive to the matter density along the neutrino trajectory. As an example of application of the formulation, a fit of the Kamiokande atmospheric neutrino data with the matter effect taken into account for neutrinos propagating in the Earth is presented. The results of the fit indicate that 4*10^{-3} eV^2 < m_3^2 nu_e, nu_munu_tau, nu_enu_tau) could be large. Hence, long-baseline experiments with reactor (CHOOZ and Palo Verde) and accelerator (K2K, MINOS and ICARUS) neutrinos could observe neutrino oscillations in all channels with a relatively large statistics.Comment: 42 pages, including 7 figure

Intergenerational Transfers over the Life Course: Addressing Temporal and Gendered Complexities via a Human Well-being Approach

Research on intergenerational transmissions of poverty and inequality has tended to focus on material transfers. This paper refocuses attention on the intersection of material and psychosocial transfers, which reveals temporal and gendered complexities. It examines three key ideas emerging from the life course literature (relationality, intersectionality and intergenerationality) to shed light on how these complexities might be addressed. It is argued that a human wellbeing lens is potentially useful as a unifying framework to integrate these ideas as it interrogates what living well means over the life course and how it is constructed relationally