Abstract:
A study is made of the order of the energy levels of bound two-particle systems described by relativistic equations that can be transformed to a local form. It is found that the energy levels of the quasi-potential equation are normally ordered if the quasipotential is a nonincreasing function of the energy. A method is proposed for numerical solution of the quasipotential equation with the relativistic kinematics taken into account explicitly and the relativistic dynamics taken into account by perturbation theory.
Citation:
V. O. Galkin, R. N. Faustov, “Some properties of the solutions of a quasipotential equation”, TMF, 85:1 (1990), 155–160; Theoret. and Math. Phys., 85:1 (1990), 1119–1123
This publication is cited in the following 10 articles:
V. O. Galkin, E. M. Savchenko, “Relativistic description of asymmetric fully heavy tetraquarks in the diquark–antidiquark model”, Eur. Phys. J. A, 60:5 (2024)
Rudolf Faustov, Vladimir Galkin, Elena Savchenko, “Fully Heavy Tetraquark Spectroscopy in the Relativistic Quark Model”, Symmetry, 14:12 (2022), 2504
D. Ebert, V. O. Galkin, R. N. Faustov, “Mass spectrum of orbitally and radially excited heavy-light mesons in the relativistic quark model”, Phys. Rev. D, 57:9 (1998), 5663
A. S. Vshivtsev, V. O. Galkin, A. V. Tatarintsev, R. N. Faustov, “Spectral problem for the radial Schrödinger equation with power confining potentials”, Theoret. and Math. Phys., 113:3 (1997), 1530–1542
D. Ebert, R. N. Faustov, V. O. Galkin, “Exclusive nonleptonic decays ofBmesons”, Phys. Rev. D, 56:1 (1997), 312
R. N. Faustov, V. O. Galkin, A. Yu. Mishurov, “Relativistic description of exclusive semileptonic decays of heavy mesons”, Phys. Rev. D, 53:3 (1996), 1391
R. N. Faustov, V. O. Galkin, A. Yu. Mishurov, “Relativistic description of exclusive heavy-to-light semileptonic decaysB→π(ρ)eν”, Phys. Rev. D, 53:11 (1996), 6302
R.N Faustov, V.O Galkin, A.Yu Mishurov, “Exclusive semileptonic decays of B mesons into light mesons in the relativistic quark model”, Physics Letters B, 356:4 (1995), 516
R. N. Faustov, V. O. Galkin, “Relativistic description of the exclusive rare radiative decays ofBmesons”, Phys. Rev. D, 52:9 (1995), 5131
R. N. Faustov, V. O. Galkin, “Heavy quark 1/m Q expansion of meson weak decay form factors in the relativistic quark model”, Z. Phys. C - Particles and Fields, 66:1-2 (1995), 119
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