### Abstract

We present calculations of ion-atom collisions using a partial-wave expansion of the projectile wavefunction. Most calculations of ion-atom collisions have typically used classical or plane-wave approximations for the projectile wavefunction, since partial-wave expansions are expected to require prohibitively large numbers of terms to converge scattering quantities. Here we show that such calculations are possible using modern high-performance computing. We demonstrate the utility of our method by examining elastic scattering of protons by hydrogen and helium atoms, problems familiar to undergraduate students of atomic scattering. Application to ionization of helium using partial-wave expansions of the projectile wavefunction, which has long been desirable in heavy-ion collision physics, is thus quite feasible.

Original language | English (US) |
---|---|

Pages (from-to) | 447-452 |

Number of pages | 6 |

Journal | European Journal of Physics |

Volume | 30 |

Issue number | 3 |

DOIs | |

State | Published - Jul 10 2009 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*European Journal of Physics*,

*30*(3), 447-452. https://doi.org/10.1088/0143-0807/30/3/002

**Treatment of ion-atom collisions using a partial-wave expansion of the projectilewavefunction.** / Wong, Thomas; Foster, M.; Colgan, J.; Madison, D. H.

Research output: Contribution to journal › Article

*European Journal of Physics*, vol. 30, no. 3, pp. 447-452. https://doi.org/10.1088/0143-0807/30/3/002

}

TY - JOUR

T1 - Treatment of ion-atom collisions using a partial-wave expansion of the projectilewavefunction

AU - Wong, Thomas

AU - Foster, M.

AU - Colgan, J.

AU - Madison, D. H.

PY - 2009/7/10

Y1 - 2009/7/10

N2 - We present calculations of ion-atom collisions using a partial-wave expansion of the projectile wavefunction. Most calculations of ion-atom collisions have typically used classical or plane-wave approximations for the projectile wavefunction, since partial-wave expansions are expected to require prohibitively large numbers of terms to converge scattering quantities. Here we show that such calculations are possible using modern high-performance computing. We demonstrate the utility of our method by examining elastic scattering of protons by hydrogen and helium atoms, problems familiar to undergraduate students of atomic scattering. Application to ionization of helium using partial-wave expansions of the projectile wavefunction, which has long been desirable in heavy-ion collision physics, is thus quite feasible.

AB - We present calculations of ion-atom collisions using a partial-wave expansion of the projectile wavefunction. Most calculations of ion-atom collisions have typically used classical or plane-wave approximations for the projectile wavefunction, since partial-wave expansions are expected to require prohibitively large numbers of terms to converge scattering quantities. Here we show that such calculations are possible using modern high-performance computing. We demonstrate the utility of our method by examining elastic scattering of protons by hydrogen and helium atoms, problems familiar to undergraduate students of atomic scattering. Application to ionization of helium using partial-wave expansions of the projectile wavefunction, which has long been desirable in heavy-ion collision physics, is thus quite feasible.

UR - http://www.scopus.com/inward/record.url?scp=67649854152&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67649854152&partnerID=8YFLogxK

U2 - 10.1088/0143-0807/30/3/002

DO - 10.1088/0143-0807/30/3/002

M3 - Article

AN - SCOPUS:67649854152

VL - 30

SP - 447

EP - 452

JO - European Journal of Physics

JF - European Journal of Physics

SN - 0143-0807

IS - 3

ER -