It is well known that Yukawa potentials permit bound states in the Schrödinger equation only if the ratio of exchanged mass to bound mass is below a critical multiple of the coupling constant. However arguments suggested by the Darwin term imply a more complex situation. By studying numerically the Dirac equation with a Yukawa potential we investigate this ”amplification” effect. PACS. 03.65.Ge...

The problem of bound states in effective field theories is studied. A rescaled version of nonrelativistic effective field theory is formulated which makes the velocity power counting of operators manifest. Results obtained using the rescaled theory are compared with known results from NRQCD. The same ideas are then applied to study Yukawa bound states in 1 + 1 and 3 + 1 dimensions, and to analy...

K-nearest neighbors (KNN) method is used in many supervised learning classification problems. Potential Energy (PE) method is also developed for classification problems based on its physical metaphor. The energy potential used in the experiments are Yukawa potential and Gaussian Potential. In this paper, I use both applet and MATLAB program with real life benchmark data to analyze the performan...

Using the renormalisation group and a conjecture concerning the perturbation series for the effective potential, the leading logarithms in the effective potential are exactly summed for O(N) scalar and Yukawa theories.

We apply a fundamental definition of time delay, as the difference between the time a particle spends within a finite region of a potential and the time a free particle spends in the same region, to determine results for photoionization of an electron by an extreme ultraviolet laser field using numerical simulations on a grid. Our numerical results are in good agreement with those of the Wigner...

We present a new constraint on a lepton mixing matrix V from lepton-flavor violating (LFV) processes in supersymmetric standard models with massive neutrinos. Here, we assume Yukawa-coupling unification fν3 ≃ ftop, in which τ -neutrino Yukawa coupling fν3 is unified into top-quark Yukawa coupling ftop at the unification scale M∗ ≃ 3 × 1016 GeV. We show that the present experimental bound on μ →...

How long do neutron star mountains last? The durability of elastically deformed crust is important for neutron star physics including pulsar glitches, emission of gravitational waves from static mountains, and flares from star quakes. The durability is defined by the strength properties of the Yukawa crystals of ions, which make up the crust. In this paper we extend our previous results [Mon. N...