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Three-Body Forces and Neutron-Rich Exotic Nuclei

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Abstract

Physics of three-body forces in connection to exotic nuclei will be discussed. Three-nucleon forces (3NF), especially Fujita–Miyazawa 3NF, are shown to be the key for the solution to the long-standing problem of oxygen drip line, which deviates from basic trend towards the stability line. Three-body forces produce repulsive modifications to effective interaction between valence neutrons, and make the ground states less bound. The oxygen drip line is then located at the right place. The relation to the neutron matter is presented. Applications to Ca isotopes will be presented. The shell evolution due to the 3NF depicts the raising of single-particle energies and the widening of splitting among the orbits. This is in contrast to the so-called shell quenching. The 2+ levels are calculated for Ca isotopes, suggesting about the same sub-magic structure for N = 32 and 34.

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References

  1. Tanihata I. et al.: Measurements of Interaction Cross Sections and Nuclear Radii in the Light p-Shell Region. Phys. Rev. Lett. 55, 2676 (1985)

    Article  ADS  Google Scholar 

  2. Hansen P.G., Jonson B.: The Neutron Halo of Extremely Neutron-Rich Nuclei. Europhys. Lett. 4, 409 (1987)

    Article  ADS  Google Scholar 

  3. Otsuka, T.: Exotic nuclei and nuclear forces. Physics with radioactive beams. In: Proceedings of Nobel Symposium 152. Goteborg, Sweden, 10–15 June 2012 (Phys. Scr., T152, 2013, 014007)

  4. Otsuka T., Suzuki T., Fujimoto R., Grawe H., Akaishi Y.: Evolution of Nuclear Shells due to the Tensor Force. Phys. Rev. Lett. 95, 232502 (2005)

    Article  ADS  Google Scholar 

  5. Otsuka T. et al.: Magic Numbers in Exotic Nuclei and Spin-Isospin Properties of the NN Interaction. Phys. Rev. Lett. 87, 082502 (2001)

    Article  ADS  Google Scholar 

  6. Otsuka T. et al.: Novel Features of Nuclear Forces and Shell Evolution in Exotic Nuclei. Phys. Rev. Lett. 104, 012501 (2010)

    Article  ADS  Google Scholar 

  7. Tsunoda N. et al.: Renormalization persistency of the tensor force in nuclei. Phys. Rev. C 84, 044322 (2011)

    Article  ADS  Google Scholar 

  8. Langevin M. et al.: Production of neutron-rich nuclei at the limits of particles stability by fragmentation of 44 MeVu 40Ar projectiles. Phys. Lett. B 150, 71 (1985)

    Article  ADS  Google Scholar 

  9. Guillemaud-Mueller D. et al.: Particle stability of the isotopes 26O and 32Ne in the reaction 44 MeV/nucleon 48Ca+Ta. Phys. Rev. C 41, 937 (1990)

    Article  ADS  Google Scholar 

  10. Fauerbach M. et al.: New search for 26O. Phys. Rev. C 53, 647 (1996)

    Article  ADS  Google Scholar 

  11. Sakurai H. et al.: Evidence for particle stability of 31F and particle instability of 25N and 28O. Phys. Lett. B 448, 180 (1999)

    Article  ADS  Google Scholar 

  12. Otsuka T., Suzuki T., Holt J., Schwenk A., Akaishi Y.: Three-Body Forces and the Limit of Oxygen Isotopes. Phys. Rev. Lett. 105, 032501 (2010)

    Article  ADS  Google Scholar 

  13. Fujita J., Miyazawa H.: Pion Theory of Three-Body Forces. Prog. Theor. Phys. 17, 360 (1957)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Hjorth-Jensen M., Kuo T.T.S., Osnes E.: Realistic effective interactions for nuclear systems. Phys. Rep. 261, 125 (1995)

    Article  ADS  Google Scholar 

  15. Green A.M.: Nucleon resonance in nuclei. Rep. Prog. Phys. 39, 1109 (1976)

    Article  ADS  Google Scholar 

  16. Entem D.R., Machleidt R.: Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory. Phys. Rev. C 68, 041001(R) (2003)

    Article  ADS  Google Scholar 

  17. Epelbaum E., Hammer H.-W., Meissner U.-G.: Modern theory of nuclear forces. Rev. Mod. Phys. 81, 1773 (2009)

    Article  ADS  Google Scholar 

  18. van Kolck U.: Few-nucleon forces from chiral Lagrangians. Phys. Rev. C 49, 2932 (1994)

    Article  ADS  Google Scholar 

  19. Epelbaum E. et al.: Three-nucleon forces from chiral effective field theory. Phys. Rev. C 66, 064001 (2002)

    Article  ADS  Google Scholar 

  20. Utsuno Y., Otsuka T., Mizusaki T., Honma M.: Varying shell gap and deformation in N~20 unstable nuclei studied by the Monte Carlo shell model. Phys. Rev. C 60, 054315 (1999)

    Article  ADS  Google Scholar 

  21. Utsuno Y., Otsuka T., Mizusaki T., Honma M.: Onset of intruder ground state in exotic Na isotopes and evolution of the N = 20 shell gap. Phys. Rev. C 70, 044307 (2004)

    Article  ADS  Google Scholar 

  22. Honma M., Otsuka T., Brown B.A., Mizusaki T.: Effective interaction for pf-shell nuclei. Phys. Rev. C 65, 061301(R) (2002)

    Article  ADS  Google Scholar 

  23. Honma M., Otsuka T., Brown B.A., Mizusaki T.: New effective interaction for pf-shell nuclei and its implications for the stability of the N = Z = 28 closed core. Phys. Rev. C 69, 034335 (2004)

    Article  ADS  Google Scholar 

  24. Honma, M., Otsuka, T., Brown, B.A., Mizusaki, T.: Shell-model description of neutron-rich pf-shell nuclei with a new effective interaction GXPF1. Eur. Phys. J. A 25(s01), 499 (2005)

    Google Scholar 

  25. Honma M. et al.: Shell-model description of neutron-rich Ca isotopes . RIKEN Accel. Prog. Rep. 41, 32 (2008)

    Google Scholar 

  26. Zuker A.P.: Three-Body Monopole Corrections to Realistic Interactions. Phys. Rev. Lett. 90, 042502 (2003)

    Article  ADS  Google Scholar 

  27. Hagen G. et al.: Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes. Phys. Rev. Lett. 108, 242501 (2012)

    Article  ADS  Google Scholar 

  28. Brown G.E., Green A.M.: Three-body forces in nuclear matter. Nucl. Phys. A 137, 1 (1969)

    Article  ADS  Google Scholar 

  29. Fritsch S., Kaiser N., Weise W.: Chiral approach to nuclear matter: role of two-pion exchange with virtual delta-isobar excitation. Nucl. Phys. A 750, 259 (2005)

    Article  ADS  Google Scholar 

  30. Tolos, L., Friman, B., Schwenk, A.: Neutron matter at finite temperature. Nucl. Phys. A 806, 105 (2008)

    Google Scholar 

  31. Hebeler, K., Schwenk, A.: Chiral three-nucleon forces and neutron matter. arXiv:0911.0483 [nucl-th] (2010)

  32. Holt J., Otsuka T., Schwenk A., Suzuki T.: Three-body forces and shell structure in calcium isotopes. J. Phys. G Nucl. Part. Phys. 39, 085111 (2012)

    Article  ADS  Google Scholar 

  33. Hagen G. et al.: Evolution of Shell Structure in Neutron-Rich Calcium Isotopes. Phys. Rev. Lett. 109, 032502 (2012)

    Article  ADS  Google Scholar 

  34. Suzuki, T., Otsuka, T., Honma, M.: Spin-dependent modes in nuclei and nuclear forces. In: Proceedings of International Symposium on Nuclear Structure and Dynamics. Opatija (2012) [AIP Conference Proceeding 1491, 21 (2012)]

  35. Caurier E. et al.: The shell model as a unified view of nuclear structure. Rev. Mod. Phys. 77, 427 (2005)

    Article  ADS  Google Scholar 

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Correspondence to Takaharu Otsuka.

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Otsuka, T., Suzuki, T. Three-Body Forces and Neutron-Rich Exotic Nuclei. Few-Body Syst 54, 891–896 (2013). https://doi.org/10.1007/s00601-013-0667-4

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  • DOI: https://doi.org/10.1007/s00601-013-0667-4

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