13–17 oct. 2008
Ettore Majorama Centre for Scientific Culture
Fuseau horaire Europe/Paris

Challenges and achievements in the ab-initio three- and four-body scattering calculations: the Coulomb force

13 oct. 2008, 16:10
35m
Ettore Majorama Centre for Scientific Culture

Ettore Majorama Centre for Scientific Culture

ERICE, Sicily
Normal Talks at Critical Stability V (Erice, October 2008) Surface and scattering

Orateur

Dr Arnoldas Deltuva (Centro de F ́ısica Nuclear, University of Lisbon, Portugal)

Description

There is a long history of theoretical prescriptions for the solution of the Coulomb problem in three-nucleon continuum. Most of them employ configuration-space framework [1, 2, 3]. In contrast, we solve momentum-space integral equations. The method we use for the inclusion of the Coulomb interaction is based on the ideas proposed in Ref. [4] for two charged particle scattering and extended in Ref. [5] for three-particle scattering, but differs significantly from those earlier works in the practical realization. The Coulomb potential is screened, standard scattering theory for short-range potentials is used, and the renormalization procedure is applied to recover the unscreened limit. In our method [6] the Coulomb potential is screened in a novel way that allows successful application of the numerical techniques developed previously for solving three-nucleon equations without Coulomb and avoids approximations on the nuclear interaction and the treatment of screened Coulomb used in Ref. [5]. The outcome of our method are fully converged calculations for observables of proton-deuteron (pd) elastic scattering and breakup, pd radiative capture, and electromagnetic disintegration of 3 He nuclei; the results for pd elastic scattering agree well with the ones obtained using configuration-space techniques [7]. The method has been extended successfully to four-nucleon scattering [8] and to three-body nuclear reactions [9, 10] involving 4 He, 11 Be or 12 C nuclei. References [1] A. Kievsky, M. Viviani, and S. Rosati, Phys. Rev. C 64, 024002 (2001). [2] C. R. Chen, J. L. Friar, and G. L. Payne, Few-Body Syst. 31, 13 (2001). [3] S. Ishikawa, Few-Body Syst. 32, 229 (2003). [4] J. R. Taylor, Nuovo Cimento B23, 313 (1974); M. D. Semon and J. R. Taylor, ibid. A26, 48 (1975). [5] E. O. Alt et al., Phys. Rev. C 65, 064613 (2002). [6] A. Deltuva, A. C. Fonseca, and P. U. Sauer, Phys. Rev. C 71, 054005 (2005); 72, 054004 (2005). [7] A. Deltuva et al., Phys. Rev. C 71, 064003 (2005). [8] A. Deltuva and A. C. Fonseca, Phys. Rev. Lett. 98, 162502 (2007); Phys. Rev. C 76, 021001(R) (2007). [9] A. Deltuva, Phys. Rev. C 74, 064001 (2006). [10] A. Deltuva et al., Phys. Rev. C 76, 064602 (2007). References [1] G. M. Bruun, A. D. Jackson, and E. E. Kolomeitsev, Phys. Rev. A, 71 052713. [2] P. Massignan, G. M. Bruun, and H. T. C. Stoof, arXiv:0805.3667.

Auteur principal

Dr Arnoldas Deltuva (Centro de F ́ısica Nuclear, University of Lisbon, Portugal)

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