3 M ay 1 99 8 Odd Viscosity

X iv : n uc l - th / 9 80 50 15 v 1 6 M ay 1 99 8 Pairing and symmetry energy in N ≃ Z nuclei

It is shown that in N ≃ Z nuclei the effects of isovector pairing and the symmetry energy are intimately related. In particular, in the odd-odd N = Z nuclei these two effect are essentially equal in magnitude, causing near degeneracy of the lowest T = 1 and T = 0 states and appearance of the T = 1 ground state isospin in many such nuclei. To illustrate the validity of the considerations present...

M ay 2 00 8 Preprint , arXiv : 0804 . 3750 MIXED SUMS OF SQUARES AND TRIANGULAR NUMBERS ( III )

In this paper we confirm a conjecture of Sun which states that each positive integer is a sum of a square, an odd square and a triangular number. Given any positive integer m, we show that p = 2m + 1 is a prime congruent to 3 modulo 4 if and only if Tm = m(m + 1)/2 cannot be expressed as a sum of two odd squares and a triangular number, i.e., p = x+8(y+z) for no odd integers x, y, z. We also sh...

m at h . Q A ] 2 3 M ay 1 99 8 Spherical 2 - categories and 4 - manifold invariants

/ 98 05 42 1 v 2 2 3 M ay 1 99 8 Statistical model analysis of multiparticle correlations in e + e − annihilation

0 M ay 1 99 8 Electric dipole moment of the electron in YbF molecule

Ab initio calculation of the hyperfine, P-odd, and P, T-odd constants for the YbF molecule was performed with the help of the recently developed technique , which allows to take into account correlations and polarization in the outercore region. The ground state (2 Σ 1/2) electronic wave function of the YbF molecule is found with the help of the Relativistic Effective Core Potential method foll...