In order to be able use methods of universal algebra for investigating posets, we assigned every pseudocomplemented poset, relatively poset and sectionally a certain (based on commutative directoid or λ-lattice) which satisfies identities implications. We show that the algebras fully characterize given corresponding posets. A kind symmetry can seen in relationship between classes mentioned pose...

We perform a five-body calculation for pentaquark (q 4 ¯ q) state of Λ(1405) as well as the three-body calculations for the ground state baryons and the Λ(1405), and two-body calculations for mesons. The hamiltonian, which reproduces reasonably well the energies of ground state baryons (N, Λ, Σ, Ξ and ∆) and mesons (π, K, ρ, K *), includes kinetic energy of semi-relativistic form, linear confin...

Oscillating tableaux are certain walks in Young’s lattice of partitions; they generalize standard Young tableaux. The shape of an oscillating tableau is the last partition it visits and the length of an oscillating tableau is the number of steps it takes. We define a new statistic for oscillating tableaux that we call weight: the weight of an oscillating tableau is the sum of the sizes of all t...

Let B 2 denote the Euclidean ball in IR , and, given closed star-shaped body K ⊂ IR, MK denote the average of the gauge of K on the Euclidean sphere. Let p ∈ (0, 1) and let K ⊂ IR be a p-convex body. In [17] we proved that for every λ ∈ (0, 1) there exists an orthogonal projection P of rank (1− λ)n such that f(λ) MK PB 2 ⊂ PK, where f(λ) = cpλ for some positive constant cp depending on p only. ...

An explicit solution of the BCS model, whose partition function is given by Tr e−βH(λ) where H(λ) = 1 Ld ∑ k,σ e(k)a + kσakσ + λ Ld 1 L2d ∑ k,p a + k↑a + −k↓a−p↓ap↑ is presented. The generating functional for the connected amputated Greens functions can be computed explicitely in arbitrary dimension d and for arbitrary energy momentum relation e(k). Symmetry breaking can be seen explicitely. Th...

We calculate saturation curves for strange hadron matter using recently constructed baryon-baryon potentials which are constrained by SU(3) symmetry. All possible interaction channels within the baryon octet (consisting of N , Λ, Σ, and Ξ) are considered. It is found that a small Λ fraction in nuclear matter slightly increases binding, but that larger fractions (> 10%) rapidly cause a decrease....

This paper deals with periodic solutions of the Hamilton equation ẋ(t) = J∇xH(x(t), λ), where H ∈ C2,0(R2n × Rk,R) and λ ∈ Rk is a parameter. Theorems on global bifurcation of solutions with periods 2π j , j ∈ N, from a stationary point (x0, λ0) ∈ R2n × Rk are proved. ∇xH(x0, λ0) can be singular. However, it is assumed that the local topological degree of ∇xH(·, λ0) at x0 is nonzero. For system...

Inspired by a recent proposal for a Higgs description of QCD we study the possible formation of a color-octet/flavor-octet quark-anti-quark condensate in the instanton liquid model. For this purpose we calculate two-point correlation functions of color-singlet and octet quark-anti-quark operators. We find long range order in the standard 〈ψ̄ψ〉 channel, but not in the color-octet channel. We emph...

The top quark may get its large mass not from a fundamental scalar but a NambuJona-Lasinio mechanism involving a strongly coupled gauge sector that triggers topquark condensation. Forbidding a large hierarchy in the gap equation implies that top quark condensation is a spectator to electroweak symmetry breaking, which must be accomplished mainly by another sector. The properties of the electrow...

Within the collective coordinate approach to chiral soliton models we suggest that breaking of SU(3) flavor symmetry mainly resides in the baryon wave–functions while the charge operators have no (or only small) symmetry breaking components. In this framework we study the gA/gV ratios for hyperon beta–decay as well as the various quark flavor components of the axial charge of the nucleon and th...