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Description of resonant states in the shell model

  • XIV International Seminar on Electromagnetic Interactions of Nuclei “EMIN-2015” Moscow, October 5–8, 2015
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Abstract

A technique for describing scattering states within the nuclear shell model is proposed. This technique is applied to scattering of nucleons by particles based on ab initio No-Core Shell Model calculations of 5He and 5Li nuclei with JISP16 NN interaction.

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References

  1. V. D. Efros, W. Leidemann, G. Orlandini, and N. Barnea, “The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions”, J. Phys. G 34, R459 (2007).

  2. W. Leidemann and G. Orlandini, “Modern ab initio approaches and applications in few-nucleon physics with”, Prog. Part. Nucl. Phys. 68, 158 (2013).

    Article  ADS  Google Scholar 

  3. I. Stetcu, S. Quaglioni, S. Bacca, B. R. Barrett, C. W. Johnson, P. Navrátil, N. Barnea, W. Leidemann, and G. Orlandini, “Benchmark calculation of inclusive electromagnetic responses in the four-body nuclear system”, Nucl. Phys. A 785, 307 (2007).

    Article  ADS  Google Scholar 

  4. A. Volya, “From nuclear structure to reactions with a unified continuum shell model approach”, J. Phys. Conf. Ser. 49, 67 (2006).

    Article  Google Scholar 

  5. K. M. Nollett, S. C. Pieper, R. B. Wiringa, J. Carlson, and G. M. Hale, “Quantum Monte Carlo calculations of neutron- scattering”, Phys. Rev. Lett. 99, 022502 (2007).

    Article  ADS  Google Scholar 

  6. G. Papadimitriou, J. Rotureau, N. Michel, M. Płoszajczak, and B. R. Barrett, “Ab initio no-core Gamow shell model calculations with realistic interactions”, Phys. Rev. C 88, 044318 (2013).

    Article  ADS  Google Scholar 

  7. P. Navrátil, S. Quaglioni, I. Stetcu, and B. R. Barrett, “Recent developments in no-core shell-model calculations”, J. Phys. G 36, 083101 (2009).

    Article  ADS  Google Scholar 

  8. B. R. Barrett, P. Navrátil, and J. P. Vary, “Ab initio no core shell model”, Prog. Part. Nucl. Phys. 69, 131 (2013).

    Article  ADS  Google Scholar 

  9. H. A. Yamany and L. Fishman, “matrix method: Extensions to arbitrary angular momentum and to Coulomb scattering”, J. Math. Phys. 16, 410 (1975).

    Article  ADS  Google Scholar 

  10. G. F. Filippov and I. P. Okhrimenko, “Use of an oscillator basis for solving continuum problems”, Sov. J. Nucl. Phys. 32, 480 (1980)

    Google Scholar 

  11. G. F. Filippov, “On taking into account correct asymptotic behavior in oscillatorbasis expansions”, Sov. J. Nucl. Phys. 33, 488 (1981).

    Google Scholar 

  12. J. M. Bang, A. I. Mazur, A. M. Shirokov, Yu. F. Smirnov, and S. A. Zaytsev, “R-matrix and -matrix approaches: Coulomb asymptotics in the harmonic oscillator representation of scattering theory”, Ann. Phys. (N.Y.) 280, 299 (2000).

    Article  ADS  MATH  Google Scholar 

  13. A. M. Shirokov, J. P. Vary, A. I. Mazur, and T. A. Weber, “Realistic nuclear Hamiltonian: Ab exitu approach”, Phys. Lett. B 644, 33 (2007).

    Article  ADS  Google Scholar 

  14. S. A. Zaitsev, Yu. F. Smirnov, and A. M. Shirokov, “True many-particle scattering in the oscillator representation”, Theor. Math. Phys. 117, 1291 (1998).

    Article  MATH  Google Scholar 

  15. J. R. Taylor, Scattering theory. Quantum theory of nonrelativistic collisions (Dover Publications, Inc., N.Y., 1972), p. 478.

    Google Scholar 

  16. S. N. More, A. Ekström, R. J. Furnstahl, G. Hagen, and T. Papenbrock, “Universal properties of infrared oscillator basis extrapolations”, Phys. Rev. C 87, 044326 (2013).

    Article  ADS  Google Scholar 

  17. P. Maris, M. Sosonkina, J. P. Vary, E. G. Ng, and C. Yang, “Scaling of ab-initio nuclear physics calculations on multicore computer architectures”, Procedia Computer Science 1, ICCS 2010 (Elsevier, Amsterdam, 2010), p. 97

    Google Scholar 

  18. H. M. Aktulga, C. Yang, E. G. Ng, P. Maris, and J. P. Vary, “Topology-Aware Mappings for Large-Scale Eigenvalue Problems”, Lect. Notes Comput. Sci. 7484, 830 (2012)

    Article  Google Scholar 

  19. H. M. Aktulga, C. Yang, E. G. Ng, P. Maris, and J. P. Vary, “Improving the scalability of a symmetric iterative eigensolver for multi-core platforms”, Concurrency Computat.: Pract. Exper. 26, 2631 (2014). doi: 10.1002/cpe.3129

    Article  Google Scholar 

  20. J. E. Bond and F. W. K. Firk, “Determination of -function and physical-state parameters for n-4He elastic scattering below 21 MeV”, Nucl. Phys. A 287, 317 (1977).

    Article  ADS  Google Scholar 

  21. A. M. Shirokov, A. I. Mazur, J. P. Vary, and E. A. Mazur, “Inverse scattering -matrix approach to nucleonnucleus scattering and the shell model”, Phys. Rev. C 79, 014610 (2009).

    Article  ADS  Google Scholar 

  22. A. Csótó and G. M. Hale, “matrix and -matrix determination of the low-energy 5He and 5Li resonance parameters”, Phys. Rev. C 55, 536 (1997).

    Article  ADS  Google Scholar 

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Mazur, I.A., Shirokov, A.M., Mazur, A.I. et al. Description of resonant states in the shell model. Phys. Part. Nuclei 48, 84–89 (2017). https://doi.org/10.1134/S1063779617010142

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  • DOI: https://doi.org/10.1134/S1063779617010142

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