Abstract
The approach adopted for the microscopic ab initio description of clustered systems is developed. For these purposes, the basis combining ordinary shell-model components and translationally invariant cluster- channel terms is constructed. Transformation of clustered wave functions to the uniform shell-model-like type is performed using the concept of cluster coefficients. The resulting basis of orthonormal wave functions is used to calculate the eigenvalues and eigenvectors of Hamiltonians based on quantum chromodynamics. The calculations of the ground and lowest resonance states of 5He, 9Be, and 9B show the functionality and efficiency of this approach.
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References
P. Navratil et al., Phys. Rev. Lett. 99, 042501 (2007).
P. Maris, J. P. Vary, and A. M. Shirokov, Phys. Rev. C 79, 014308 (2009).
P. Maris, A. M. Shirokov, and J. P. Vary, Phys. Rev. C 81, 021301(R) (2010).
P. Maris and J. P. Vary, Int. J. Mod. Phys. E 22, 1330016 (2013).
B. R. Barret, P. Navratil, and J. P. Vary, Prog. Part. Nucl. Phys. 69, 131 (2013).
L. Lui et al., Phys. Rev. C 86, 014304 (2012).
T. Abe et al., Phys. Rev. C 86, 054301 (2012).
T. Dytrych et al., Phys. Rev. Lett. 111, 252501 (2013).
K. Wildermuth and Y.-C. Tang, A Unified Theory of the Nucleus (Veiweg, Braunschweig, 1977).
S. Quaglioni and P. Navratil, Phys. Rev. C 79, 044606 (2009).
Yu. F. Smirnov and Yu. M. Tchuvil’sky, Phys. Rev. C 15, 84 (1977).
Yu. F. Smirnov and Yu. M. Tchuvil’sky, Czech. J. Phys. B 33, 1215 (1983).
Yu. M. Tchuvil’sky et al., Phys. Rev. C 51, 784 (1995).
A. Volya and Yu. M. Tchuvil’sky, Phys. Rev. C 91, 044319 (2015).
O. F. Nemets et al., Nucleon Clusters in Atomic Nuclei and Nuclear Reactions of Multi-Nucleon Transfer (Naukova Dumka, Kiev, 1988) [in Russian].
S. Baroni, P. Navratil, and S. Quaglioni, Phys. Rev. Lett. 110, 022505 (2013).
S. Baroni, P. Navratil, and S. Quaglioni, Phys. Rev. C 87, 034326 (2013).
C. Romero-Robredo et al., Phys. Rev. Lett. 99, 032503 (2014).
J. Langhammer et al., Phys. Rev. C 91, 021301 (2015).
J. Dohet-Eraly et al., Phys. Lett. B 757, 430 (2016).
J. A. Wheeler, Phys. Rev. 52, 1083 (1937).
Y. C. Tang, M. LeMere, and D. R. Thompson, Phys. Rep. 47, 167 (1978).
G. F. Fillipov and I. P. Ohrimenko, Sov. J. Nucl. Phys. 32, 480 (1980).
Yu. F. Smirnov, Nucl. Phys. 39, 346 (1962).
I. V. Kurdyumov et al., Nucl. Phys. A 145, 593 (1970).
A. M. Shirokov et al., Phys. Lett. B 761, 87 (2016).
A. M. Shirokov, A. I. Mazur, I. A. Mazur, and J. P. Vary, Phys. Rev. C 94, 064320 (2016).
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Original Russian Text © D.M. Rodkin, Yu.M. Tchuvil’sky, 2017, published in Yadernaya Fizika i Inzhiniring, 2017, Vol. 8, No. 6, pp. 539–544.
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Rodkin, D.M., Tchuvil’sky, Y.M. Ab Initio Study of Resonant and Weakly Bound States of Light Nuclei with Single-Nucleon Halo Based on First Principles. Phys. Atom. Nuclei 81, 1455–1459 (2018). https://doi.org/10.1134/S1063778818100150
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DOI: https://doi.org/10.1134/S1063778818100150