Abstract
We investigate the possibility of calculating the parameters of few-body resonances using the oscillator trap boundary conditions. We place the few-body system in an oscillator trap and calculate the energy spectrum and the strength function of a suitably chosen transition. Broader resonances are identified as Lorentzian peaks in the strength function. Narrower resonances are identified through the pattern of avoided crossings in the spectrum of the system as function of the trap size. As an example we calculate \({0^+_2}\) and \({0^+_3}\) resonances in 12C within the 3α model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Elander N. et al.: The resonance wave function – is it relevant?. AIP Conf. Proc. 998, 43–58 (2008)
Fedorov D.V., Garrido E., Jensen A.S.: Complex scaling of the hyperspheric coordinates and Faddeev equations. Few Body Syst. 33, 153–171 (2003)
Leidemann W.: Calculation of a narrow resonance with the LIT method. Few-Body Syst. 42, 139–151 (2008)
Maier C.H., Cederbaum L.S., Domcke W.: Spherical-box approach to resonances. J. Phys. B 13, L119–24 (1980)
Zhang L. et al.: Real stabilization method for nuclear single-particle resonances. Phys. Rev. C 77, 014312–6pp (2008)
Thøgersen M., Fedorov D.V., Jensen A.S.: N-body Efimov states of trapped bosons. EPL 83, 30012–6pp (2008)
Fedorov D.V., Jensen A.S.: The three-body continuum Coulomb problem and the 3 alpha structure of C-12. Phys. Lett. B 389, 631–636 (1996)
Nielsen E. et al.: The three-body problem with short-range interactions. Physics Reports 347, 373–459 (2001)
Pushkin A., Jonson B., Zhukov M.V.: E1 strength function for two-neutron halo nuclei in an analytical threebody approach. J. Phys. G 22, L95–L98 (1996)
Fedotov S.I. et al.: 3alpha-cluster structure of the 0+ states in 12C and the effective alpha–alpha interactions. Phys. Rev. C 70, 014006–7pp (2004)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article is based on the presentation by D. Fedorov at the Fifth Workshop on Critical Stability, Erice, Sicily.
Rights and permissions
About this article
Cite this article
Fedorov, D.V., Jensen, A.S., Thøgersen, M. et al. Calculating Few-Body Resonances Using an Oscillator Trap. Few-Body Syst 45, 191–195 (2009). https://doi.org/10.1007/s00601-009-0043-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-009-0043-6