För en introduktion till neutrinooscillationer, se Neutrinooscillationer på min hemsida. En föreläsning (på engelska) om neutrinooscillationer finns också här.

We derive analytic expressions for three flavor neutrino oscillations in matter in the plane wave approximation using the Cayley-Hamilton formalism. Especially, we calculate the time evolution operator in both flavor and mass spaces. Furthermore, we find the transition probabilities, matter mass squared differences, and matter mixing angles all expressed in terms of the vacuum mass squared differences, the vacuum mixing angles, and the matter density. The conditions for resonance are also studied by some examples.

Analytic formulas are presented for three flavor neutrino oscillations in matter in the plane wave approximation. We calculate in particular the time evolution operator in both mass and flavor bases. We also find the transition probabilities expressed as functions of the vacuum mass squared differences, the vacuum mixing angles, and the matter density parameter. The application of this to neutrino oscillations in a mantle-core-mantle step function model of the Earth's matter density profile is discussed.[15]

We clarify the domain needed for the mixing angles in three flavor neutrino oscillations and show that it is necessary and sufficient to let all mixing angles have $\left[ 0, \pi/2 \right]$ as their domain. This holds irrespectively of any assumptions on the neutrino mass squared differences. [13]

Global fits to all data of candidates for neutrino oscillations are presented in the framework of a three-flavor model. The analysis excludes mass regions where the MSW effect is important for the solar neutrino problem. The best fit gives $\theta _{1} \approx 28.9^\circ$, $\theta_{2} \approx 4.2^\circ$, $\theta_{3} \approx 45.0^\circ$, $m_{2}^{2}-m_{1}^{2} \approx 2.87 \cdot 10^{-4} \; {\rm eV}^2$, and $m_{3}^{2}-m_{2}^{2} \approx 1.11 \; {\rm eV}^2$ indicating essentially maximal mixing between the two lightest neutrino mass eigenstates. [11]

För en introduktion till hadronfysik, se Hadronfysik på min hemsida.

T. Ohlsson, H. Snellman

We analyze recent measurements of the nucleon quark sea isospin asymmetry in terms of the chiral quark model. The new measurements indicate that the SU(3) model with modest symmetry breaking and no $\eta'$ Goldstone boson gives a satisfactory description of data. We also discuss the matching parameter for the axial-vector current. Finally, we analyze the nucleon quark spin polarization measurements directly in the chiral quark model without using any SU(3) symmetry assumption on the hyperon axial-vector form factors. The new data indicate that the chiral quark model gives a remarkably good and consistent description of all low energy baryon measurements.[10]

We calculate weak vector and axial-vector form factors of first- and second-class currents for the semileptonic octet baryon decays in the chiral quark model. Our results for the chiral quark model are in good agreement with existing experimental data and are compared to other model calculations.

We present calculations of the decuplet baryon magnetic moments in the
chiral quark model. As input we use parameters obtained in qualitatively
accurate fits to the octet baryon magnetic moments studied earlier. The
values found for the magnetic moments of Delta^{++} and Omega^{-} are in good
agreement with experiments. We finally calculate the total quark spin
polarizations of the decuplet baryons and find that they are considerably
smaller than what is expected from the non-relativistic quark model.[8]

The Coleman-Glashow sum-rule for magnetic moments is always fulfilled in the chiral quark model, independently of SU(3) symmetry breaking. This is due to the structure of the wave functions, coming from the non-relativistic quark model. Experimentally, the Coleman-Glashow sum-rule is violated by about ten standard deviations. To overcome this problem, two models of wave functions with configuration mixing are studied. One of these models violates the Coleman-Glashow sum-rule to the right degree and also reproduces the octet baryon magnetic moments rather accurately. [7]

in the spin structure of hadrons

We analyze the axial-vector form-factors of the nucleon hyperon system in a model with mass dependent spin polarization. This mass dependence is deduced from an earlier analysis [2,4] of the magnetic moment data and implies that the spin contributions from the quarks to a baryon decrease with the mass of the baryon. When applied to the axial-vector form-factors, these mass dependent spin polarizations bring the various sum rules from the model into better agreement with experimental data. Our analysis leads to a reduced value for the total spin polarization of the proton.[5]

and their quark spin content

We discuss magnetic moments of the J=3/2 baryons based on an earlier model for the baryon magnetic moments, allowing for flavor symmetry breaking in the quark magnetic moments as well as a general quark spin structure. From our earlier analysis of the nucleon-hyperon magnetic moments and the measured values of the magnetic moments of the \Delta^{++} and the \Omega^{-} we predict the other magnetic moments and the spin structure of the resonance particles. We find from experiment that the total spin polarization of the decuplet baryons, Delta\Sigma(3/2), is considerably smaller than the non-relativistic quark model value 3, although the data is still not good enough to give a precise determination.[4]

and the proton spin structure

We discuss the magnetic moments of the baryons allowing for flavor symmetry breaking in the quark magnetic moments. We show that there is a correlation between isospin symmetry breaking and data for the nucleon spin structure obtained from deep inelastic scattering. For small values of the isospin symmetry breaking, of the order of 5 %, the magnetic moments and weak axial-vector form factors alone indicate a value of the spin polarization of about 0.20. Larger values of the spin polarization are compatible only with large isospin symmetry breaking. We also calculate weak axial-vector form factors, which are independent of the symmetry breakings, from magnetic moment data and find good agreement with experiment [2].

Decay observables in the charmonium system are studied. In a Salpeter model with a vector plus confining scalar potential, we present general expressions in the formalism developed by Suttorp for decay observables in an onium system. The parameters of the model are determined by a fit to the mass spectrum and the lepton pair decay rates. Two gamma decays and E1 and M1 transitions are then calculated and found to be well accounted for. [6]

We study the field theoretic quantization of the chiral sigma model by using lagrangian multipliers to implement the geometry in phase space.

Production of bound states in high-energy collisions is studied in a relativistic frame-work. The generic case is production of hydrogen atoms in high-energy inelastic electron-proton scattering. The same formalism is with minor modifications applicable to several other systems like quark-quark scattering with meson production etc. [3]

Senast uppdaterad 1998-10-9