630 research outputs found

### Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions

Pairing plays a crucial role in nuclear spectra and attempts to describe it
has a long history in nuclear physics. The limiting case in which all single
particle states are degenerate, but with different s-wave pairing strengths was
only recently solved. In this strong coupling limit the nuclear pairing
Hamiltonian also exhibits a supersymmetry. Another solution away from those
limits, namely two non-degenerate single particle states with different pairing
strengths, was also given. In this contribution these developments are
summarized and difficulties with possible generalizations to more single
particle states and d-wave pairing are discussed.Comment: 6 pages of LATEX, to be published in the Proceedings of the "10th
Int. Spring Seminar on Nuclear Physics: New Quests in Nuclear Structure",
Vietri Sul Mare, May 21-25, 201

### Supersymmetry and Nuclear Pairing

We show that nuclear pairing Hamiltonian exhibits supersymmetry in the
strong-coupling limit. The underlying supersymmetric quantum mechanical
structure explains the degeneracies between the energies of the N and Nmax-N+1
pair eigenstates. The supersymmetry transformations connecting these states are
given.Comment: 4 pages of REVTEX, one figur

### Neutrino interactions in astrophysics and the third neutrino mixing angle theta13

The third neutrino mixing angle theta13 is the least known one. In this
contribution, after a brief discussion of the current efforts to determine the
value of this angle better, various astrophysical implications of a non-zero
value of theta13 are summarized.Comment: 6 pages, Proceedings of OMEG10 Symposium, Osaka, Japa

### Overview of Neutrino-Nucleus Interactions

An overview of neutrino-nucleus interactions is presented. After a brief
discussion of theory and applications of detector response three examples are
discussed: i) Recent work on neutrino-deuteron reactions, ii) Probing
strangeness content of the nucleon with neutrinos, and iii) The role of
neutrino reactions in supernova dynamics and r-process nucleosynthesis.Comment: 10 pages, 4 figures; proceedings of the Yukawa International Seminar
2001 (YKIS01), Physics of Unstable Nuclei, November 5-10, 2001, Kyoto, Japa

### Neutrino Mixing and Oscillations in Astrophysical Environments

A brief review of the current status of neutrino mixing and oscillations in
astrophysical environments, with particular emphasis on the Sun and
core-collapse supernovae, is given. Implications of the existence of sterile
states which mix with the active neutrinos are discussed.Comment: Proceedings of the OMEG12 Conference, Tsukuba, Japa

### Symmetries of Neutrino Physics

In this contribution to the proceedings of a conference honoring the career
of Francesco Iachello, two applications of symmetry principles to neutrino
physics are described. These applications are the connection between fermion
pairing in many-body physics and the neutrino mass as well as collective
neutrino oscillationsComment: 7 pages, Proceedings of the conference "SYMMETRIES AND ORDER:
Algebraic Methods in Many Body Systems

### Solar Neutrino Matter Effects Redux

Following recent low-threshold analysis of the Sudbury Neutrino Observatory
and asymmetry measurements of the BOREXINO Collaboration of the solar neutrino
flux, we revisit the analysis of the matter effects in the Sun. We show that
solar neutrino data constrains the mixing angle $\theta_{13}$ poorly and that
subdominant Standard Model effects can mimic the effects of the physics beyond
the Standard Model.Comment: 12 pages of LATEX, 8 figure

### Towards a very precise knowledge of theta13

Recent experimental developments towards obtaining a very precise value of
the third neutrino mixing angle, $\theta_{13}$, are summarized. Various
implications of the measured value of this angle are briefly discussed.Comment: Proceedings of the CETUP* (Center for Theoretical Underground Physics
and Related Areas) 2012 Summer Institut

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