Abstract:
The methods of the theory of extensions to an auxiliary Hilbert space
are used to construct in the two-particle sector a scattering theory for particles possessing internal structure. The analytic properties of the amplitudes of resonance scattering and Green's functions corresponding to a class of singular energy-dependent interactions are
investigated.
Citation:
Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. I. Two-body problem”, TMF, 75:3 (1988), 431–444; Theoret. and Math. Phys., 75:3 (1988), 630–639
This publication is cited in the following 12 articles:
V.I. Kukulin, O.A. Rubtsova, M.N. Platonova, V.N. Pomerantsev, H. Clement, “Role of the d⁎(2380) dibaryon in NN interaction”, Physics Letters B, 801 (2020), 135146
V. I. Kukulin, O. A. Rubtsova, M. N. Platonova, V. N. Pomerantsev, H. Clement, T. Skorodko, “Nature of \varvecS-wave \varvecNN interaction and dibaryon production at nucleonic resonance thresholds”, Eur. Phys. J. A, 56:9 (2020)
Pomerantsev V.N. Kukulin V.I. Rubtsova O.A., “Model With Coupled Internal and External Channels For <Bold>2N</Bold> and <Bold>3N</Bold> Systems”, Few-Body Syst., 60:3 (2019), UNSP 48
A. A. Arsen'ev, “Mathematical Model of Resonances and Tunneling in a System with a Bound State”, Theoret. and Math. Phys., 136:3 (2003), 1336–1345
Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the ˉpd system”, Theoret. and Math. Phys., 118:1 (1999), 60–76
Yan V. Fyodorov, Hans-Jürgen Sommers, “Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance”, Journal of Mathematical Physics, 38:4 (1997), 1918
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A. K. Motovilov, “Algebraic version of extension theory for a quantum system with internal structure”, Theoret. and Math. Phys., 97:2 (1993), 1217–1228
A. A. Kiselev, B. S. Pavlov, N. N. Penkina, M. G. Suturin, “Allowance for interaction symmetry in the theory of extensions”, Theoret. and Math. Phys., 91:2 (1992), 453–461
A. N. Safronov, “Effects of particle structure in the three-body problem”, Theoret. and Math. Phys., 89:3 (1991), 1310–1323
Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. II. Three-body problem”, Theoret. and Math. Phys., 76:2 (1988), 834–847