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Title: State-Specified Protonium Formation in Low-Energy Antiproton-Hydrogen-Atom Collisions

Abstract

We calculate state-specified protonium-formation cross sections in low-energy antiproton-hydrogen-atom collisions by solving the Chew-Goldberger-type integral equation directly instead of integrating the traditional differential scattering equation. Separating the incident wave from the total wave function, we calculate only the scattered outgoing wave propagated by the Green function. The scattering boundary condition is hence automatically satisfied without the tedious procedure of adjusting the wave function at the asymptotic region. The formed protonium atoms tend to be distributed in higher angular momentum l and higher principle quantum number n states as the collision energy increases. The present method has the advantage over the traditional ones in the sense that the required memory size and the computational time are much smaller, and accordingly the problem can be solved with higher accuracy.

Authors:
;  [1];  [2];  [1]
  1. Institute of Materials Science, Graduate School of Pure and Applied Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573 (Japan)
  2. (Japan)
Publication Date:
OSTI Identifier:
20861481
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 97; Journal Issue: 24; Other Information: DOI: 10.1103/PhysRevLett.97.243202; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANGULAR MOMENTUM; ANTIPROTONS; ATOM COLLISIONS; BOUNDARY CONDITIONS; CROSS SECTIONS; GREEN FUNCTION; HYDROGEN; INTEGRAL EQUATIONS; PROTONIUM; SCATTERING; WAVE FUNCTIONS

Citation Formats

Tong, X. M., Hino, K., Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577, and Toshima, N. State-Specified Protonium Formation in Low-Energy Antiproton-Hydrogen-Atom Collisions. United States: N. p., 2006. Web. doi:10.1103/PHYSREVLETT.97.243202.
Tong, X. M., Hino, K., Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577, & Toshima, N. State-Specified Protonium Formation in Low-Energy Antiproton-Hydrogen-Atom Collisions. United States. doi:10.1103/PHYSREVLETT.97.243202.
Tong, X. M., Hino, K., Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577, and Toshima, N. Fri . "State-Specified Protonium Formation in Low-Energy Antiproton-Hydrogen-Atom Collisions". United States. doi:10.1103/PHYSREVLETT.97.243202.
@article{osti_20861481,
title = {State-Specified Protonium Formation in Low-Energy Antiproton-Hydrogen-Atom Collisions},
author = {Tong, X. M. and Hino, K. and Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8577 and Toshima, N.},
abstractNote = {We calculate state-specified protonium-formation cross sections in low-energy antiproton-hydrogen-atom collisions by solving the Chew-Goldberger-type integral equation directly instead of integrating the traditional differential scattering equation. Separating the incident wave from the total wave function, we calculate only the scattered outgoing wave propagated by the Green function. The scattering boundary condition is hence automatically satisfied without the tedious procedure of adjusting the wave function at the asymptotic region. The formed protonium atoms tend to be distributed in higher angular momentum l and higher principle quantum number n states as the collision energy increases. The present method has the advantage over the traditional ones in the sense that the required memory size and the computational time are much smaller, and accordingly the problem can be solved with higher accuracy.},
doi = {10.1103/PHYSREVLETT.97.243202},
journal = {Physical Review Letters},
number = 24,
volume = 97,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}