Abstract
Nuclear responses involve the information on nuclear dynamics as well as underlying interactions. To describe them theoretically, one faces the difficulty in treating many-body continuum states. A newly developed time-dependent correlated Gaussian basis allows us to describe the response function without explicit construction of the many-body continuum states. As simple examples, the photoabsorption reactions of \(^2\)H and \(^3\)He are presented. In both cases, the calculations are remarkably improved compared to those with time-independent correlated Gaussian.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. Fukuda et al., Coulomb and nuclear breakup of a halo nucleus \(^{11}\)Be. Phys. Rev. C 70, 054606 (2004)
S. Aoyama, T. Myo, K. Katō, K. Ikeda, The complex scaling method for many-body resonances and its applications to three-body resonances. Prog. Theor. Phys. 116, 1–35 (2006)
G.V. Efros, W. Leidemann, G. Orlandini, N. Baenea, The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions. J. Phys. 34, R459 (2007)
H. Suno, Y. Suzuki, P. Descouvemont, Precise calculation of the triple-\(\alpha \) reaction rates using the transmission-free complex absorbing potential method. Phys. Rev. C 94, 054607 (2016)
T. Kido, K. Yabana, Y. Suzuki, Coulomb breakup mechanism of neutron-halo nuclei in a time-dependent method. Phys. Rev. C 53, 2296–2303 (1996)
K. Varga, Y. Suzuki, Precise solution of few-body problems with the stochastic variational method on a correlated Gaussian basis. Phys. Rev. C 52, 2885–2905 (1995)
Y. Suzuki, K. Varga, Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems. Lecture Notes in Physics Monographs (Springer, Berlin, 1998)
J. Mitroy, S. Bubin, W. Horiuchi, Y. Suzuki, L. Adamowicz, W. Cencek, K. Szalewicz, J. Komasa, D. Blume, K. Varga, Theory and application of explicitly correlated Gaussians. Rev. Mod. Phys. 85, 693 (2013)
R. Sekine, W. Horiuchi, Solving the time-dependent few-body Schrödinger equation within a basis expansion method. in EPJ Web of Conferences on 21st International Conference on Few-Body Problems in Physics, Chicago, May 18–22, 2015 (2016), p. 03020
K. Varga, Solution of the time-dependent Schrödinger equation using time-dependent basis functions. Phys. Rev. E 85, 016705 (2012)
R.D. Thompson, M. Lemere, C.Y. Tang, Systematic investigation of scattering problems with the resonanting-group method. Nucl. Phys. A 286, 53–66 (1977)
P. Ring, P. Schuck, The Nuclear Many-Body Problem. Texts and Monographs in Physics (Springer, New York, 1980)
Y.K. Hara et al., Photodisintegration of deuterium and big bang nucleosynthesis. Phys. Rev. D 68, 072001 (2003). (and references therein)
N.V. Fetisov, N.A. Gorbunov, T.A. Varfolomeev, Nuclear photoeffect on three-particle nuclei. Nucl. Phys. A 71, 305 (1965)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article belongs to the Topical Collection “The 23rd European Conference on Few-Body Problems in Physics”.
Rights and permissions
About this article
Cite this article
Sekine, R., Horiuchi, W. Time-Dependent Correlated Gaussian Approach to the Nuclear Response of Few-Nucleon Systems. Few-Body Syst 58, 115 (2017). https://doi.org/10.1007/s00601-017-1282-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-017-1282-6