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# Progress of Theoretical Physics

About: Progress of Theoretical Physics is an academic journal. The journal publishes majorly in the area(s): Nucleon & Meson. Over the lifetime, 12252 publication(s) have been published receiving 207897 citation(s).

Topics: Nucleon, Meson, Scattering, Quark, Pion

##### Papers published on a yearly basis

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Kyoto University

^{1}TL;DR: In this article, it was shown that no CP-violating interactions exist in the quartet scheme without introducing any other new fields, and that the strong interaction must be chiral SU ( 4) X SU( 4) invariant as precisely as the conservation of the third component of the iso-spin.

Abstract: In a framework of the renormalizable theory of weak interaction, problems of CP-violation are studied. It is concluded that no realistic models of CP-violation exist in the quartet scheme without introducing any other new fields. Some possible models of CP-violation are also discussed. When we apply the renormalizable theory of weak interaction1l to the hadron system, we have some limitations on the hadron model. It is well known that there exists, in the case of the triplet model, a difficulty of the strangeness chang ing neutral current and that the quartet model is free from this difficulty. Fur thermore, Maki and one of the present authors (T.M.) have shown2l that, in the latter case, the strong interaction must be chiral SU ( 4) X SU ( 4) invariant as precisely as the conservation of the third component of the iso-spin 13 • In addi tion to these arguments, for the theory to be realistic, CP-violating interactions should be incorporated in a gauge invariant way. This requirement will impose further limitations on the hadron model and the CP-violating interaction itself. The purpose of the present paper is to investigate this problem. In the following, it will be shown that in the case of the above-mentioned quartet model, we cannot make a CP-violating interaction without introducing any other new fields when we require the following conditions: a) The mass of the fourth member of the quartet, which we will call (, is sufficiently large, b) the model should be con sistent with our well-established knowledge of the semi-leptonic processes. After that some possible ways of bringing CP-violation into the theory will be discussed. We consider the quartet model with a charge assignment of Q, Q -1, Q -1 and Q for p, n, A. and (, respectively, and we take the same underlying gauge group SUweak (2) X SU(1) and the scalar doublet field cp as those of Weinberg's original model.1l Then, hadronic parts of the Lagrangian can be devided in the following way:

5,101 citations

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TL;DR: In this article, the scattering probability of conduction electrons to the second Born approximatism was calculated based on the s-d interaction model for dilute magnetic alloys, and it was shown that J should be negative in alloys which show a resistance minimum.

Abstract: Based on the s-d interaction model for dilute magnetic alloys we have calculated the scattering probability of the conduction electrons to the second Born approximatism. Because of the dynamical character of the localized spin system, the Pauli principle should be taken into account in the intermediate states of the second order terms. Thus the effect of the Fermi sphere is involved in the scattering probability and gives rise to a singular term in the resistivity which involves clog T as a factor, where c is the concentration of impurity atoms. When combin:::d with the lattice resistivity, this gives rise to a resistance min~mum, provided the s-d exchan:~e integral J is negative. The temperature at which the minimum cccurs is proportional to c 15 and the depth of the minimum to c, as is observed. The predicted log T dependence is tested with available experiments and is confirmed. The value of J to have fit with experimmts is about -0.2 ev, which is of reasonable magnitude. Our conclusion is that J should be negative in alloys which show a resistance minimum. It is argued that the resistance minimum is a result of the sharp Fermi surface.

2,786 citations

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TL;DR: In this article, a particle mixture theory of neutrino is proposed assuming the existence of two kinds neutrinos, and a possible unified model of elementary particles is constructed by generalizing the Sakata-Nagoya model, which gives a natural explanation of smallness of leptonic decay rate of hyperons as well as subtle difference of G_ν's between µ-e and β-decay.

Abstract: A particle mixture theory of neutrino is proposed assuming the existence of two kinds of neutrinos. Based on the neutrino-mixture theory, a possible unified model of elementary particles is constructed by generalizing the Sakata-Nagoya model. Our scheme gives a natural explanation of smallness of leptonic decay rate of hyperons as well as the subtle difference of G_ν's between µ-e and β-decay.

2,732 citations

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Kyoto University

^{1}TL;DR: In this article, the effect of the spin-orbit interaction on random potential scattering in two dimensions by the renormalization group method is studied. And the localization behaviors are classified in the three different types depending on the symmetry.

Abstract: Effect of the spin-orbit interaction is studied for the random potential scattering in two dimensions by the renormalization group method. It is shown that the localization behaviors are classified in the three different types depending on the symmetry. The recent observation of the negative magnetoresistance of MOSFET is discussed. In recent experiments on MOSFET by Kawaguchi et al.,u it was found that electrons confined in the MOS inversion layer exhibit the negative magnetoresist ance. This effect is closely related to the localization problem in a random potential. In two dimensions, the quantum inter ference is important and, if the impurity scattering is spin-independent, the con ductivity vanishes at zero temperature even when the scattering is very weak. 2>

1,993 citations