Deuteron properties from muonic atom spectroscopy

Abstract

Leading order ($\alpha^4$) finite size corrections in muonic deuterium are evaluated within a few body formalism for the $\mu^- p n$ system in muonic deuterium and found to be sensitive to the input of the deuteron wave function. We show that this sensitivity, taken along with the precise deuteron charge radius determined from muonic atom spectroscopy can be used to determine the elusive deuteron D-state probability, $P_D$, for a given model of the nucleon-nucleon (NN) potential. The radius calculated with a $P_D$ of 4.3\% in the chiral NN models and about 5.7\% in the high precision NN potentials is favoured most by the $\mu^-d$ data.Comment: 14 pages, 2 figure

Different manifestations of S-matrix poles

“…The virtual state is 1 S 0 . Without entering into the details of the amount of the above admixture (which can range between 3 -7 % [49]) and nuclear physics aspects, we attempt to calculate the np total cross section using the above formula for s-wave scattering. In Fig.…”

Short range interactions in the hydrogen atom

“…Today it has become a laboratory for precision physics (especially from the experimental point of view) where several areas of physics are combined to explain the intricacies of this rather simple system. The inputs required are taken from particle physics [1] (as such the hydrogen atom constitutes also a testing ground for fundamental theories like Quantum Electrodynamics (QED) and its electroweak extension [2]), quantum field theories which provide the necessary formalism (the two body Breit equation [3,4], the one-body Dirac equation or the Bethe-Salpeter equation [5]) and nuclear (or hadronic) physics contributing to the physics of the finite extension of the central nucleus [6,7]. Indeed, latest efforts in the field tend to extract the static properties of the proton from hydrogen transitions [6,8,9].…”

Assessment of nonlocal nuclear potentials in α decay

“…(19)) is solved to obtain U P B L (r). Taking initially the potentials U N and U P B L to be constant in order to derive the transcendental equation, U P B L exp [ µβ 2 2 2 (E − U P B L )] = U N , and then introducing the r dependence to get (19) introduces an inconsistency at small r which will be discussed in Section IV.…”

“…The cosmological lithium problem is a recent example of such a situation where conventional methods overestimated the 7 Li abundance but the introduction of Tsallis statistics within these methods solved the problem [1]. Another recent example is that of pinning down the Dstate probability in the deuteron (a topic which has been a classic problem of nuclear physics) using modern precise measurements of the Lamb shift in the muonic deuterium atom [2]. In the context of the present work, we note that the models for the strong nuclear interaction within the nonlocal framework, have been studied since decades with the pioneering works in Refs.…”