Relativistic three-particle bound states in scalar quantum field theory
Keyword(s):
We derive relativistic three-particle wave equations for scalar particles [Formula: see text], [Formula: see text], and [Formula: see text], interacting via a massive or massless scalar field, χ. The variational method, within the Hamiltonian formalism of quantum field theory, is used to obtain the equations using a simple [Formula: see text] Ansatz. Approximate solutions of these equations are presented for various strengths of the coupling. The magnitude of the relativistic effects in the three-particle energies and wave functions is illustrated by comparison with nonrelativistic results.
Keyword(s):
Keyword(s):
1999 ◽
Vol 11
(05)
◽
pp. 519-532
◽
Keyword(s):
2013 ◽
Vol 91
(4)
◽
pp. 279-292
◽
2016 ◽
Vol 31
(11)
◽
pp. 1650052
◽
1994 ◽
Vol 09
(10)
◽
pp. 1677-1702
◽
Keyword(s):
2018 ◽
Vol 27
(11)
◽
pp. 1843001
◽
1990 ◽
Vol 31
(6)
◽
pp. 1467-1477
◽
Keyword(s):
2019 ◽
Vol 59
(2)
◽
pp. 641-641
◽