Perturbation theory of three-body exchange nonadditivity and application to helium trimer

2000 ◽  
Vol 112 (1) ◽  
pp. 112-121 ◽  
Author(s):  
Victor F. Lotrich ◽  
Krzysztof Szalewicz
Keyword(s):  
Perturbation Theory ◽  
Helium Trimer ◽  
Three Body

scholarly journals Symmetry‐adapted perturbation theory of nonadditive three‐body interactions in van der Waals molecules. I. General theory

1995 ◽  
Vol 103 (18) ◽  
pp. 8058-8074 ◽  
Author(s):  
Robert Moszynski ◽  
Paul E. S. Wormer ◽  
Bogumil Jeziorski ◽  
Ad van der Avoird
Keyword(s):  
Perturbation Theory ◽  
General Theory ◽  
Van Der Waals ◽  
Van Der Waals Molecules ◽  
Three Body

Symmetry-adapted perturbation theory of three-body nonadditivity in the Ar2HF trimer

1998 ◽  
Vol 108 (12) ◽  
pp. 4725-4738 ◽  
Author(s):  
Victor F. Lotrich ◽  
Piotr Jankowski ◽  
Krzysztof Szalewicz
Keyword(s):  
Perturbation Theory ◽  
Three Body

Resonant and non-resonant contributions of B → K∗(p1,𝜖1){Kπ,ππ,KK} decay modes

2019 ◽  
Vol 34 (06) ◽  
pp. 1950043
Author(s):  
Mahboobeh Sayahi
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Branching Ratio ◽  
Heavy Meson ◽  
Chiral Perturbation ◽  
Decay Modes ◽  
Qcd Factorization ◽  
Three Body ◽  
Good Agreement

In this paper, the non-leptonic three-body decays [Formula: see text], [Formula: see text], [Formula: see text] are studied by introducing two-meson distribution amplitude for the [Formula: see text], [Formula: see text] and [Formula: see text] pairs in naive and QCD factorization (QCDF) approaches, such that the analysis is simplified into quasi-two body decays. By considering that the vector meson is being ejected in factorization, the resonant and non-resonant contributions are analyzed by using intermediate mesons in Breit–Wigner resonance formalism and the heavy meson chiral perturbation theory (HMChPT), respectively. The calculated values of the resonant and non-resonant branching ratio of [Formula: see text], [Formula: see text] and [Formula: see text] decay modes are compared with the experimental data. For [Formula: see text] and [Formula: see text], the non-resonant contributions are about 70–80% of experimental data, for which the total results by considering resonant contributions are in good agreement with the experiment.

scholarly journals Hubbard-Stratonovich-like Transformations for Few-Body Interactions

2018 ◽  
Vol 175 ◽  
pp. 11012
Author(s):  
Christopher Körber ◽  
Evan Berkowitz ◽  
Thomas Luu
Keyword(s):  
Perturbation Theory ◽  
Great Accuracy ◽  
Quantum Systems ◽  
Collective Phenomena ◽  
Many Body ◽  
Chiral Perturbation ◽  
Body Level ◽  
The Many ◽  
Three Body ◽  
Number Of Particles

Through the development of many-body methodology and algorithms, it has become possible to describe quantum systems composed of a large number of particles with great accuracy. Essential to all these methods is the application of auxiliary fields via the Hubbard-Stratonovich transformation. This transformation effectively reduces two-body interactions to interactions of one particle with the auxiliary field, thereby improving the computational scaling of the respective algorithms. The relevance of collective phenomena and interactions grows with the number of particles. For many theories, e.g. Chiral Perturbation Theory, the inclusion of three-body forces has become essential in order to further increase the accuracy on the many-body level. In this proceeding, the an-alytical framework for establishing a Hubbard-Stratonovich-like transformation, which allows for the systematic and controlled inclusion of contact three-and more-body inter-actions, is presented.

Sign in / Sign up

Export Citation Format

Share Document