On the existence of antihydrogen-deuterium and antihydrogen-tritium bound-states

Abstract

A theorem is presented which proves the existence of a bound state composed of one hydrogen atom and one antihydrogen atom. The extension of the theorem to antihydrogen-deuterium and antihydrogen-tritium systems is discussed.

Borromean bindings in muonic molecular ions with screened Coulomb potentials

“…Investigations on Borromean systems are also concerned with the mass dependence of the complex mechanism of building up large aggregates of particles instead of smaller pieces [15]. Borromean systems have been known in nuclear physics for several years, for example, the 6 He isotope of ordinary helium is stable against spontaneous dissociation, while 5 He is not. Now examples of Borromean systems are also known in molecular physics [19,22,23].…”

Gauge symmetry, chirality and parity effects in four-particle systems: Coulomb's law as a universal function for diatomic molecules

“…Obtaining theoretical PECs is difficult in contrast with (2a) and (2b). Some of the difficulties in trying to find solutions for N-particle (particleantiparticle) systems have been studied before (Richard, 1992, Abdel-Raouf, 1992, Abdel-Raouf et al, 1998. In this work, this algebraic symmetry is respected throughout, as it is a first principles element of Coulomb's law, conforming to gauge symmetry, and secures that scaling can not lead to distortions when going from the left to the right branch of PECs.…”

Novel Consequences of Coexistence of Matter and Antimatter in Nature

“…positronium, protonium true muonium ant pionium) was confirmed by many authors, (for a review see Abdel-Raouf 2019 [1]). The coexistence of antihydrogen with hydrogen, deuterium and tritium was mathematically proved by Abdel-Raouf and Ladik [2] based on the theory of four-body system (see [3], [4] and [5]). A computational code was developed for performing quite elaborate calculations for four-body systems using Ritz' variational method, (for a review, see Abdel-Raouf [6]).…”