Abstract
Having demonstrated in a recent study that the wave packet method based on the time-dependent Faddeev equations (abbreviated as TDFE-WP method) provide a viable computational tool for three-particle scattering problems, a variant of the said method is explored in the present study. In the TDFE-WP method, each Faddeev component of the time-dependent wave-packet is expanded in a basis appropriate for the corresponding rearrangement. In the present version, the basis for each rearrangement consists of a Jacobi subset suitable to describe the spectator-bound pair final states and another subset that is more appropriate for three free particles. The expectation that such a mixed basis may be more efficient to describe the time evolution of Faddeev components is borne out by present calculations.
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References
M.L. Goldberger, K.M. Watson, Collision Theory (Wiley, New York, 1964)
J.R. Taylor, Scattering Theory (Wiley, New York, 1972)
Z.C. Kuruoglu, F.S. Levin, Phys. Rev. Lett. 64, 1701 (1990)
Z. C. Kuruoglu, in Time Dependent Quantum Molecular Dynamics, Ed. J. Broeckhove ( Plenum Press, NATO ASI Series, 1992). pp 167-179
Z.C. Kuruoglu, F.S. Levin, Phys. Rev. A 46, 2304 (1992)
Z.C. Kuruoglu, Phys. Rev. C 101, 024002 (2020)
E.W. Schmid, H. Ziegelmann, The Quantum Mechanical Three-Body Problem (Pergamon Press, Oxford, 1974)
W. Glockle, The Quantum Mechanical Few Body Problem (Springer, Berlin, 1983)
O.A. Rubtsova, V.N. Pomerantsev, V.I. Kukulin, A. Faessler, Phys. Rev. C 86, 034004 (2012)
S.B.S. Miller, A. Ekstrom, K. Hebeler, Phys. Rev. C 106, 024001 (2022)
V.M. Suslov, B. Vlahovic, Phys. Rev. C 69, 044003 (2004)
P.A. Belov, S.L. Yakovlev, Phys. Atom. Nucl. 76, 126 (2013)
E. Garrido, A. Kievsky, M. Viviani, Phys. Rev. C 90, 014607 (2014)
J. Huang, S. Liu, D.H. Zhang, R.V. Krems, Phys. Rev. Lett. 120, 143401 (2018)
D.H. Zhang, H. Guo, Annu. Rev. Phys. Chem. 67, 135 (2016)
J. Crawford, G.A. Parker, J. Chem. Phys. 138, 054513 (2013)
W. Hu, G.C. Schatz, J. Chem. Phys. 125, 132301 (2006)
R.A. Malfliet, J.A. Tjon, Nucl. Phys. 127, 407 (1969)
J.L. Friar et al., Phys. Rev. C 42, 1838 (1990)
P.M. Prenter, Splines and Variational Methods (Wiley, New York, 1975)
Z.C. Kuruoglu, Phys. Rev. C 44, 1354 (1991)
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Kuruoğlu, Z.C. Wave-Packet Solution of Time-Dependent Faddeev Equations Using a Mixed Basis in Jacobi and Hypersherical Momenta. Few-Body Syst 64, 49 (2023). https://doi.org/10.1007/s00601-023-01835-8
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DOI: https://doi.org/10.1007/s00601-023-01835-8