Abstract
The inelastic response of a Borromean trimer composed of three identical bosons is explored. To this end we use the quadrupole approximation as the excitation mechanism of the bosonic system from its ground state. We utilize the hyperspherical-harmonics expansion to solve the Schroedinger equation and the Lorentz integral transform method to calculate the reaction. It is found that the magnitude of the response function and corresponding sum rules increase as a power law when approaching the three-body threshold. It is also found that this increase is governed by unnatural exponents.
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Greene C.: Universal insights from few body land. Phys. Today 63(3), 40 (2010)
Gross N., Shotan Z., Machtey O., Kokkelmans S., Khaykovich L.: Study of Efimov physics in two nuclear-spin sublevels of 7Li. C. R. Physique 12, 4 (2011)
Thompson S.T., Hodby E., Wieman C.E.: Ultracold molecule production via a resonant oscillating magnetic field. Phys. Rev. Lett. 95, 190404 (2005)
Lompe T. et al.: Radio-frequency association of Efimov trimers. Science 330, 940 (2010)
Liverts E., Bazak B., Barnea N.: Quadrupole response of a weakly bound bosonic trimer. Phys. Rev. Lett. 108, 112501 (2012)
Fedorov D.V., Jensen A.S., Riisager K.: Three-body halos: gross properties. Phys. Rev. C 49, 201 (1994)
Kievsky A., Rosati S., Viviani M., Marcucci L.E., Girlanda L.: A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states. J. Phys. G 35, 063101 (2008)
Fenin Y.I., Efros V.D.: To K harmonics method in problem of several nucleons. Sov. J. Nucl. Phys. 15, 497 (1972)
Barnea N., Novoselsky A.: Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups. Ann. Phys. N. Y. 256, 192 (1997)
Barnea N., Novoselsky A.: Hyperspherical wave functions with orthogonal and permutational symmetry. Phys. Rev. A 57, 48 (1998)
Efros V.D., Leidemann W., Orlandini G.: Response functions from integral transforms with a Lorentz kernel. Phys. Lett. B 338, 130 (1994)
Efros V.D., Leidemann W., Orlandini G., Barnea N.: The Lorentz integral transform (LIT) method and its applications to perturbation-induced reactions. J. Phys. G 34, R459 (2007)
Efros V.D., Leidemann W., Orlandini G.: Electromagnetic few-body response functions with the Lorentz integral transform method. Few Body Syst. 26, 251 (1999)
Andreasi D., Leidemann W., Reiß C., Schwamb M.: New inversion methods for the Lorentz integral transform. Eur. Phys. J. A 24, 361 (2005)
Barnea N., Liverts E.: Analytic Lorentz integral transform of an arbitrary response function and its application to the inversion problem. Few Body Syst. 48, 11 (2010)
Efimov V.: Qualitative treatment of three-nucleon properties. Nucl. Phys. A 362, 45 (1981)
Ostrovsky V.N.: Threshold laws for multiparticle fragmentation. Few Body Syst. 31, 113 (2002)
Sadeghpour H.R. et al.: Collisions near threshold in atomic and molecular physics. J. Phys. B 33, R93 (2000)
Marchisio M., Barnea N., Leidemann W., Orlandini G.: Efficient method for Lorentz integral transforms of reaction cross sections. Few Body Syst. 33, 259–276 (2003)
Gazit D., Barnea N., Bacca S., Leidemann W., Orlandini G.: Photonuclear sum rules and the tetrahedral configuration of 4He. Phys. Rev. C 74, 061001 (2006)
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Bazak, B., Liverts, E. & Barnea, N. The Quadrupole Response of Borromean Bosonic Trimers. Few-Body Syst 54, 667–671 (2013). https://doi.org/10.1007/s00601-012-0437-8
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DOI: https://doi.org/10.1007/s00601-012-0437-8