A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme.

Autor:	Hadizadeh MR; College of Engineering, Science, Technology and Agriculture, Central State University, Wilberforce, OH, 45384, USA. mhadizadeh@centralstate.edu.; Department of Physics and Astronomy, Ohio University, Athens, OH, 45701, USA. mhadizadeh@centralstate.edu., Radin M; Department of Physics, K. N. Toosi University of Technology, Tehran, Iran., Mohseni K; Department of Physics, K. N. Toosi University of Technology, Tehran, Iran.
Jazyk:	angličtina
Zdroj:	Scientific reports [Sci Rep] 2020 Feb 06; Vol. 10 (1), pp. 1949. Date of Electronic Publication: 2020 Feb 06.
DOI:	10.1038/s41598-020-58577-4
Abstrakt:	In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial wave decomposition. The inputs for the three-dimensional Faddeev integral equation are the off-shell boost two-body t-matrices, which are calculated directly from the boost two-body interactions by solving the Lippmann-Schwinger equation. The matrix elements of the boost interactions are obtained from the nonrelativistic interactions by solving a nonlinear integral equation using an iterative scheme. The relativistic effects on three-body binding energy are calculated for the Malfliet-Tjon potential. Our calculations show that the relativistic effects lead to a roughly 2% reduction in the three-body binding energy. The contribution of different Faddeev components in the normalization of the relativistic three-body wave function is studied in detail. The accuracy of our numerical solutions is tested by calculation of the expectation value of the three-body mass operator, which shows an excellent agreement with the relativistic energy eigenvalue.
Databáze:	MEDLINE
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