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Quantum field theory free from ultraviolet divergence (UV - ∞) is developed here and subsequent papers. For this purpose we introduce a closed 3-dimensional Riemannian momentum space in the rest system of cosmic background radiation and formulate QFT there in tensorial form. To make a transformation to another reference system, we follow general relativity. Thus, our new QFT is general relativistic, violationg Lorentz invariance, or equivalently, special relativity. The finite volume of our momentum space makes all momentum integrals finite, i.e., our QFT is free from UV - ∞. The zero-point vibration of quantized fields gives a contribution to the energy of our expanding universe, which is now finite in our QFT, but is (∞) 4 - (∞) 4 in the conventional Lorentz invariant QFT. Extremely stringent conditions must be satisfied in order to keep the theoretical energy density (due to the zero-point motion of elementary boson and fermion fields in our universe) from exceeding the critical density, ρ crit (3 meV) 4 . Hence softly broken SUSY is absolutely required here, and there is no room for dark matter and/or dark energy.

The Riemannian phase space theory is developed here. It is a generalization of the usual Lorentz invariant theory. Its basic formulation is given in order to apply quantum physics, i.e., quantum mechanics (QM) and quantum field theories (QFT). It is one of the theories of general relativity and the rest system of cosmic background radiation plays a specific role, in which the Riemannian energy-momentum space is isotropic and homogeneous, the 3 dimensional surface of the 4 dimensional sphere (radius K) in E 4 . If desirable the space (spatial part in the space-time of the Big Bang universe) can be quantized. Its application to (examples in) QM and QFT shall be presented here and in the forthcoming paper.

Assuming that the momentum space for a particle is the surface of the 4 dimensional sphere (radius K) and its position vector x i is given by boost operators B i multiplied by 1/K in the same 4 dimensional Eucledian space, one can construct quantum mechanics. This theory predicts that the very high energy paticles run at the velocity slower (or faster) than light velocity (depending upon a choice of the Hamiltonian of particles), which may be tested by proton beams in LHC, or even by SPS or Tevatron.

We study the time evolution of an unstable particle which decays through a weak interaction. We conclude that, in general, the «survival» probability of any unstable particle contains a «new» mode inversely proportional to a certain power of time, apart from the well-known exponential decay mode which is overwhelmingly dominant. We discuss briefly this new decay mode

We have developed the general theory of resonance scattering on the basis of the scattering and reaction theory- of quantum mechanics. Furthermore, we have calculated exactly the scattering solutions for non-relativistic two coupled channel models with square well potentials and separable potentials, which exhibit explicitly the resonance

We investigate parity violation in neutron·nucleus collisions in the very low energy region (E 5:100 eV), including resonance states. We use the coupled channel formalism for resonances with radiative emission. The parity mixing between resonances with opposite parities is taken into account. Finally, our theory is applied to the medium heavy nuclei where large parity violation occurs and the relevant remarks are given.

The general expressions, the dlfferential cross section, and the polarization of the recoil nucleon of the photonnucleon scattering are given. Then experimental data of the photon-nucleon scattering at high energies are analyzed in terms of the shadow scattering of the photonpion production. (auth)

A model of strong interactions is discussed. We divide strong interactions into two classes: the very strong global interactions and the moderately strong charge independent interactions. Most of our discussions are given for the global interactions. Our aim is to transfer the content of the composite theory proposed by the author into the framework of the Yukawa theory. We find several interesting relations between the coupling constants for meson-baryon interactions (valid in the global approximation). The classifications (in the global approximation) and the “G” transformations of the mesons and the baryons are introduced.

Under the assumption that the parity conservation does not hold for the decay processes of strange particles, we examine loth the angular distribution of the final decay product for the cascade decay of E hyperon and the asymmetrical distribution of decay product about the production plane of hyperons which are produced by K- -p interaction. So far as our kinematical study for these processes is concerned, it is impossible to know whether the decay interaction is invariant under the time reversal. However, there exists a possibility of solving this problem by making use of the values of phase shifts for 11:- N scattering. Namely, if the two decay interactions, E-->A+rr and A~N+rr, are invariant under the time reversal, we may expect that the fore-aft asymmetry (with respect to the direction of motion of A) of the final decay product for the cascade decay will be ol:served, while if they are simultaneously invariant under the charge conju­ gation, we cannot probably confirm the existence of asymmetrical angular distribution.

Using the concepts of "eigen-phase shifts" and "eigenchannels", multichannel processes like nuclear reactions are discussed. A simple one-level formula is derived. The formulation of collision processes enables an explicit determination of the reaction amplitudes in cases where interference between resonance and potential scattering exists or two resonance levels are close together within their widths. Situations in which reactions via Bohr's"compound nucleus" occur are discussed. Finally, anomaly (e.g., "cusp" behavior) of the elastic scattering at the threshold, where a new channel becomes open, is considered. The anomaly is demonstrated using a straight-forward generalization of Bethe's derivation of effective range theory. (auth)

資料番号: SA1004713000

Strangeness conserving BETA -decays of the SIGMA hyperons are discussed. Their partial decay rates are known to be smaller than those predicted by universality. It is noticed that this fact is more consistent with the Goldhaber picture of hyperons than other possibilities. (auth) kawa coupling theory about the interaction of bosons and baryons are also investignted. It is shown that the coupling constant of pion to nucleon is correctly given independent of the details of our method. Comments on the properties of nuclear forces in the inner region are given. (auth)

Photo- 7r±- and nO-mesons from deuterium, which are expected to give us a definite clue to photo­ mesons from neutrons and spin. and charge.dependences of photo.mesonic processes, are discussed phenomenologically, adopting the so-called impulse approximation. Energy spectra of mesons at three angles (0, 45 and 90 degrees) are given in figures (Figs. 9.1-9.18) for incident r-rays with 200,250, 300 and 350 Mev. Our results will be useful for direct comparison with observed data.

The beta decay of the neutron is th20retically discussed and compared with the experimental results of Robson As was fiirst pointed out .by Berectetsky and Pomeranchuk, the form of the beta-spectrum derived on the pseudoscalar interaction is different from the so-called allowed spectrum_ The final decision about the type of interaction is not, however, offered from the beta-spectrum alone_ Attempts are therefore made to obtain some theoretical predictions which might be useful for the decision of the interaction type when compared with some future experiments_ They are the angular correlation of electrons and protons and the momentum spectrum of protons_ The calculation shows that in principle it is possible, though not easy, to carry through such experiments. The beta-spectrum obtained by Robson is not reliable in the low energy region, but an explanation is given how 'to account for the shape of the spectrum in this region, if the observed spectrum is correct there.

On the basis of the so-called Al=1(2 law, the decay processes of 1:- and A-hyperons are discussed .. In particular, the asymmetry coefficients of the pion coming from the hyperon decay are expressed in terms of ratios of partial decay rates of J:+-and x--hyperons, and these are useful to test the original assumption of the Al=1/2 law. The connection between the 1:- and A-decay interactions is also men-­tioned briefly.

Various meson reactions in deuterium are investigated on the basis of impulse approximation. Then one obtains the close connection between deuteron data and nucleon data, which is shown to be useful to get an insight into the spin- and charge-dependences of meson-nucleon interaction. The brief dis­ cussions of available results of experiments are also given.

The magnetic octupole moment !J of the nucleus is discussed on the basis of the shell and collective models. In the strong coupling case of the collective model, !2 becomes smaller than the shell model tuult because of the quenching of the moment along the symmetry axis of the deformed core. This fact is in agreement with experimental data (for Ga71, 73, In115, and Jl27) available at present.

High-energy neutrino-electron and neutrino-nucleon collisions are discussed. In particular, the "elastic" processes nu p yields n + e+ and nu + n yields p + e- are investigated in detail. The cross section of nu + n yields p + e- is estimated to be approximately -0.8 x 10-38 cm 2 for neutrino energy in lab system>1 bev under the reasonable assumptions.

We propose in this short note a new scheme to second-quantize strongly coupled systems, which turns out to be fully in accord with Heisenberg-Pauli's general procedure to quantize interacting fields. The method described below can, for example, be applied to formulate quantum field theory of extended hadrons, which will be fully described in Ref. 1) (to be published shortly). To illustrate our proposed scheme, let us take an example of strongly coupled quarkgluon system, in which we have a nontopological soliton (bound state). For simplicity and clarity, we adopt a system composed of a quark (U0), an anti-quark (V0) and scalar gluon (f/J 0). Then, the semi-classical soliton at rest is described, in usual notation, by2l (a! J7+~m-gr/Jo(31Uo=~~Uo, l

The possibility of detecting weak neutral currents and the parity violating effect in e/sup +/e/sup -/ yields mu /sup +/ mu /sup -/, e/sup +/e/ sup -/ yields SIGMA SIGMA ( LAMBDA LAMBDA ) e/sup +/e/sup -/ yields pi / sup +/ pi /sup -/, and e/sup +/e/sup -/ yields pX ( LAMBDA X, SIGMA /sup +/X) colliding-beam interactions is discu ssed. It is concluded that, at prcscnt, the practical possibility is limited to the pure leptonic processes. ( Ll3S)