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Relativistic effects in three-body bound states

1986; American Institute of Physics; Volume: 33; Issue: 2 Linguagem: Inglês

10.1103/physrevc.33.709

1538-4497

W. Glöckle, T.-S. H. Lee, F. Coester,

Nuclear physics research studies

We formulate relativistic and nonrelativistic two-particle dynamics in such a manner that the two-body binding energies are the same for both. We then formulate and solve the relativistic Faddeev equations for a simple s-wave potential (Malfliet-Tjon V). The relativistic effects are small (about 3%) and reduce the three-body binding energy. The expectation value of the relativistic energy operator with the nonrelativistic wave function is a fairly good approximation, but approximate expressions involving expansions in powers of the momentum are shown to be quite unreliable.