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Yukawa potential
About: Yukawa potential is a research topic. Over the lifetime, 8375 publications have been published within this topic receiving 192904 citations.
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TL;DR: In this paper, the authors give an explanation of the conservation of strong interactions which includes the effects of pseudoparticles, and they find it is a natural result for any theory where at least one flavor of fermion acquires its mass through a Yukawa coupling to a scalar field which has nonvanishing vacuum expectation value.
Abstract: We give an explanation of the $\mathrm{CP}$ conservation of strong interactions which includes the effects of pseudoparticles. We find it is a natural result for any theory where at least one flavor of fermion acquires its mass through a Yukawa coupling to a scalar field which has nonvanishing vacuum expectation value.
5,545 citations
TL;DR: In this article, the relativistic $S$-matrix formalism of Feynman is applied to the bound-state problem for two interacting Fermi-Dirac particles.
Abstract: The relativistic $S$-matrix formalism of Feynman is applied to the bound-state problem for two interacting Fermi-Dirac particles. The bound state is described by a wave function depending on separate times for each of the two particles. Two alternative integral equations for this wave function are derived with kernels in the form of an expansion in powers of ${g}^{2}$, the dimensionless coupling constant for the interaction. Each term in these expansions gives Lorentz-invariant equations. The validity and physical significance of these equations is discussed. In extreme nonrelativistic approximation and to lowest order in ${g}^{2}$ they reduce to the appropriate Schr\"odinger equation.One of these integral equations is applied to the deuteron ground state using scalar mesons of mass $\ensuremath{\mu}$ with scalar coupling. For neutral mesons the Lorentz-invariant interaction is transformed into the sum of the instantaneous Yukawa interaction and a retarded correction term. The value obtained for ${g}^{2}$ differs only by a fraction proportional to ${(\frac{\ensuremath{\mu}}{M})}^{2}$ from that obtained by using a phenomenological Yukawa potential. For a purely charged meson theory a correction term is obtained by a direct solution of the relativistic integral equation using only the first term in the expansion of the kernel. This correction is due to the fact that a nucleon can emit, or absorb, positive and negative mesons only alternately. The constant ${g}^{2}$ is increased by a fraction of $1.1(\frac{\ensuremath{\mu}}{M})$ or 15 percent.
1,962 citations
TL;DR: Hard (infinitely hard) and soft (Yukawa) core potentials have been fit to Yale and Livermore phase parameters and low-energy data as discussed by the authors, and it is found that neither the short-range behavior of the potentials nor the central-to-tensor ratio in the 3 S 1 - 3 D 1 state is well determined by the data.
1,818 citations
TL;DR: In this article, the authors presented the first complete next-to-next-toleading order analysis of the Standard Model Higgs potential, showing that at the Planck scale, absolute stability of the potential is not guaranteed at 98% C.L. for Mh < 126 GeV.
Abstract: We present the rst complete next-to-next-to-leading order analysis of the Standard Model Higgs potential. We computed the two-loop QCD and Yukawa corrections to the relation between the Higgs quartic coupling ( ) and the Higgs mass (Mh), reducing the theoretical uncertainty in the determination of the critical value of Mh for vacuum stability to 1 GeV. While at the Planck scale is remarkably close to zero, absolute stability of the Higgs potential is excluded at 98% C.L. for Mh < 126 GeV. Possible consequences of the near vanishing of at the Planck scale, including speculations about the role of the Higgs eld during ination, are discussed.
1,429 citations
Book•
01 Mar 1994
TL;DR: The unity of science was celebrated by Planck, Einstein, and Bohr as mentioned in this paper who gave a last smile to the three greats -Curie, Mendeleev, Kramers, and Yukawa.
Abstract: Science smiles three greats - Planck, Einstein, Bohr the unity of science More greats - Curie, Mendeleev, Kramers, Yukawa more of Bohr and Einstein words of greeting challenges scientists facing the great issues - perspectives on policy a last smile
1,308 citations