α\alpha-Particle Spectrum in the Reaction p+11^{11}B→α+8Be∗→3α\to \alpha + ^8Be^*\to 3\alpha

Using a simple phenomenological parametrization of the reaction amplitude we calculated $\alpha$-particle spectrum in the reaction p+$^{11}$B$\to \alpha + ^8Be^*\to 3\alpha$ at the resonance proton energy 675 KeV. The parametrization includes Breit-Wigner factor with an energy dependent width for intermediate $^8Be^*$ state and the Coulomb and the centrifugal factors in $\alpha$-particle emission vertexes. The shape of the spectrum consists of a well defined peak corresponding to emission of the primary $\alpha$ and a flat shoulder going down to very low energy. We found that below 1.5 MeV there are 17.5% of $\alpha$'s and below 1 MeV there are 11% of them.Comment: 6 pages, 3 figure

Random anisotropy disorder in superfluid 3He-A in aerogel

The anisotropic superfluid 3He-A in aerogel provides an interesting example of a system with continuous symmetry in the presence of random anisotropy disorder. Recent NMR experiments allow us to discuss two regimes of the orientational disorder, which have different NMR properties. One of them, the (s)-state, is identified as the pure Larkin-Imry-Ma state. The structure of another state, the (f)-state, is not very clear: probably it is the Larkin-Imry-Ma state contaminated by the network of the topological defects pinned by aerogel.Comment: JETP Lett. style, 6 pages, no figures, discussion extended, references added, version to be published in JETP Letter

Cosmological variation of deuteron binding energy, strong interaction and quark masses from big bang nucleosynthesis

We use Big Bang Nucleosynthesis calculations and light element abundance data to constrain the relative variation of the deuteron binding energy since the universe was a few minutes old, $\delta Q = Q(BBN)-Q(present)$. Two approaches are used, first treating the baryon to photon ratio, $\eta$, as a free parameter, but with the additional freedom of varying $\delta Q$, and second using the WMAP value of $\eta$ and solving only for $\delta Q$. Including varying $Q$ yields a better fit to the observational data than imposing the present day value, rectifying the discrepancy between the $^4He$ abundance and the deuterium and $^7Li$ abundances, {\it and} yields good agreement with the independently determined $\eta_{WMAP}$. The minimal deviation consistent with the data is significant at about the 4-$\sigma$ level; $\delta Q/Q= -0.019 \pm 0.005$. If the primordial $^4$He abundance lies towards the low end of values in the literature, this deviation is even larger and more statistically significant. Taking the light element abundance data at face-value, our result may be interpreted as variation of the dimensionless ratio $X=m_s/\Lambda_{QCD}$ of the strange quark mass and strong scale: $\delta X/X=(1.1 \pm 0.3) \times 10^{-3}$. These results provide a strong motivation for a more thorough exploration of the potential systematic errors in the light element abundance data.Comment: 9 pages, 5 figure

Anapole moment of an exotic nucleus

We demonstrate that there is no appreciable enhancement of the anapole moment of $^{11}$Be. The effect of small energy intervals is compensated for by a small overlap of the halo neutron wave function with core.Comment: 5 pages, LaTe

Nuclear Schiff moment and soft vibrational modes

The atomic electric dipole moment (EDM) currently searched by a number of experimental groups requires that both parity and time-reversal invariance be violated. According to current theoretical understanding, the EDM is induced by the nuclear Schiff moment. The enhancement of the Schiff moment by the combination of static quadrupole and octupole deformation was predicted earlier. Here we study a further idea of the possible enhancement in the absence of static deformation but in a nuclear system with soft collective vibrations of two types. Both analytical approximation and numerical solution of the simplified problem confirm the presence of the enhancement. We discuss related aspects of nuclear structure which should be studied beyond mean-field and random phase approximations.Comment: 14 pages, 4 figure

Exactly solvable two-dimensional quantum spin models

A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a product of fourth-rank spinors associated with the sites of a lattice and the metric spinors corresponding to bonds between nearest neighbor sites. The function so constructed is an exact wave function of a 14-parameter model. The special case of this model depending on one parameter is analyzed in detail. The ground state is always a nondegenerate singlet, and the spin correlation functions decay exponentially with distance. The method can be generalized for models with spin 1/2 to other types of lattices.Comment: 15 pages, 9 figures, Revte

Spin waves in diluted magnetic quantum wells

We study collective spin excitations in two-dimensional diluted magnetic semiconductors, placed into external magnetic field. Two coupled modes of the spin waves (the electron and ion modes) are found to exist in the system along with a number of the ion spin excitations decoupled from the electron system. We calculate analytically the spectrum of the waves taking into account the exchange interaction of itinerant electrons both with each other and with electrons localized on the magnetic ions. The interplay of these interactions leads to a number of intriguing phenomena including tunable anticrossing of the modes and a field-induced change in a sign of the group velocity of the ion mode