Three-nucleon bound state calculations using the three dimensional formalism

The traditional method of carrying out few-nucleon calculations is based on the angular momentum decomposition of operators relevant to the calculation. Expressing operators using a finite-sized partial wave basis enables the calculations to be carried out using a small amount of numerical work. Unf...

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Bibliographic Details
Main Authors: Topolnicki, Kacper, Golak, Jacek, Skibiński, Roman, Witała, Henryk, Volkotrub, Yuriy, Soloviov, Volodymyr, Grassi, Alessandro
Format: Conference Proceeding
Language:English
Subjects:
Angular momentum
Computer simulation
Decomposition
Formalism
Mathematical analysis
Nucleons
Operators
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Summary:The traditional method of carrying out few-nucleon calculations is based on the angular momentum decomposition of operators relevant to the calculation. Expressing operators using a finite-sized partial wave basis enables the calculations to be carried out using a small amount of numerical work. Unfortunately, certain calculations that involve higher energies or long range potentials, require including a large number of partial waves in order to get converged results. This is problematic because such an approach requires a numerical implementation of heavily oscillating functions. Modern computers made it possible to carry out few-nucleon calculations without using angular momentum decomposition and instead to work directly with the three dimensional degrees of freedom of the nucleons. In this paper we briefly describe the, so called 3D approach and present preliminary results related to the 3 He bound state obtained within this formalism.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201919905021