Stochastic variational method for elastic scattering

Jun-Yi Zhang, James Mitroy

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    The stochastic variational method is used with a confining potential of the form V=? r12 to generate correlated basis sets capable of accurately describing low-energy elastic scattering. Stabilization concepts are then used to extract the phase shifts and other scattering observables. The method is applied to positron scattering from H and He, and Ps scattering from H and He. The results of the calculations are in uniformly good agreement with previous high quality calculations or with experiment. In particular, the scattering length for Ps-He scattering is found to be 1.566 a0 while the zero-energy Z1 eff was 0.1157. The Ps-He s -wave phase shift is found to be incompatible with experimental momentum transfer cross sections obtained by the Doppler broadening technique. � 2008 The American Physical Society.
    Original languageEnglish
    Pages (from-to)012703-1-012703-11
    Number of pages11
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume78
    Issue number1
    Publication statusPublished - 2008

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    elastic scattering
    scattering
    phase shift
    confining
    momentum transfer
    positrons
    stabilization
    energy
    cross sections

    Cite this

    Zhang, Jun-Yi ; Mitroy, James. / Stochastic variational method for elastic scattering. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2008 ; Vol. 78, No. 1. pp. 012703-1-012703-11.
    @article{723ca6fab01b4c729326a827675eaf7f,
    title = "Stochastic variational method for elastic scattering",
    abstract = "The stochastic variational method is used with a confining potential of the form V=? r12 to generate correlated basis sets capable of accurately describing low-energy elastic scattering. Stabilization concepts are then used to extract the phase shifts and other scattering observables. The method is applied to positron scattering from H and He, and Ps scattering from H and He. The results of the calculations are in uniformly good agreement with previous high quality calculations or with experiment. In particular, the scattering length for Ps-He scattering is found to be 1.566 a0 while the zero-energy Z1 eff was 0.1157. The Ps-He s -wave phase shift is found to be incompatible with experimental momentum transfer cross sections obtained by the Doppler broadening technique. � 2008 The American Physical Society.",
    keywords = "Elastic scattering, Helium, Ordinary differential equations, Phase shift, Stochastic programming, American Physical Society (APS), Basis sets, Doppler broadening, High quality (HQ), Low energies, Momentum transfer cross sections, Positron scattering, Scattering lengths, Variational methods, Wave phase, Scattering",
    author = "Jun-Yi Zhang and James Mitroy",
    year = "2008",
    language = "English",
    volume = "78",
    pages = "012703--1--012703--11",
    journal = "Physical Review A",
    issn = "1050-2947",
    publisher = "American Physical Society",
    number = "1",

    }

    Zhang, J-Y & Mitroy, J 2008, 'Stochastic variational method for elastic scattering', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 78, no. 1, pp. 012703-1-012703-11.

    Stochastic variational method for elastic scattering. / Zhang, Jun-Yi; Mitroy, James.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 78, No. 1, 2008, p. 012703-1-012703-11.

    Research output: Contribution to journalArticleResearchpeer-review

    TY - JOUR

    T1 - Stochastic variational method for elastic scattering

    AU - Zhang, Jun-Yi

    AU - Mitroy, James

    PY - 2008

    Y1 - 2008

    N2 - The stochastic variational method is used with a confining potential of the form V=? r12 to generate correlated basis sets capable of accurately describing low-energy elastic scattering. Stabilization concepts are then used to extract the phase shifts and other scattering observables. The method is applied to positron scattering from H and He, and Ps scattering from H and He. The results of the calculations are in uniformly good agreement with previous high quality calculations or with experiment. In particular, the scattering length for Ps-He scattering is found to be 1.566 a0 while the zero-energy Z1 eff was 0.1157. The Ps-He s -wave phase shift is found to be incompatible with experimental momentum transfer cross sections obtained by the Doppler broadening technique. � 2008 The American Physical Society.

    AB - The stochastic variational method is used with a confining potential of the form V=? r12 to generate correlated basis sets capable of accurately describing low-energy elastic scattering. Stabilization concepts are then used to extract the phase shifts and other scattering observables. The method is applied to positron scattering from H and He, and Ps scattering from H and He. The results of the calculations are in uniformly good agreement with previous high quality calculations or with experiment. In particular, the scattering length for Ps-He scattering is found to be 1.566 a0 while the zero-energy Z1 eff was 0.1157. The Ps-He s -wave phase shift is found to be incompatible with experimental momentum transfer cross sections obtained by the Doppler broadening technique. � 2008 The American Physical Society.

    KW - Elastic scattering

    KW - Helium

    KW - Ordinary differential equations

    KW - Phase shift

    KW - Stochastic programming

    KW - American Physical Society (APS)

    KW - Basis sets

    KW - Doppler broadening

    KW - High quality (HQ)

    KW - Low energies

    KW - Momentum transfer cross sections

    KW - Positron scattering

    KW - Scattering lengths

    KW - Variational methods

    KW - Wave phase

    KW - Scattering

    M3 - Article

    VL - 78

    SP - 012703-1-012703-11

    JO - Physical Review A

    JF - Physical Review A

    SN - 1050-2947

    IS - 1

    ER -