Research Grants 15/11828-5 - Núcleos exóticos, Condensado de Bose-Einstein - BV FAPESP
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Few-body approaches in nuclear and atomic condensates

Abstract

After Efimov states and Bose-Einstein condensed states have been realized in atomic physics, some analogues are looked for in nuclear physics community as well. For example, in halo nuclei systems, one can consider Carbon-22 as a Carbon-20 core plus two neutron system, which has attracted much attention (see refs. [1,2,3]) and in fact that nucleus has experimentally been confirmed to have an anomalously large radius [4]. This system may also be considered as a two-neutron halo nucleus similarly to a famous Lithium-11. The first excited 0^+ state of Carbon-12 is called Hoyle state that plays a decisive role in synthesizing Carbon-12 from Helium-4 in stars. This resonant state is discussed from the point of view of Bose-Einstein condensation. The members of the present project have been working on those problems, which are particularly important in weakly bound systems. By extending our experience, we would like to study one of the most interesting current topics, possible an Efimov and Bose-condensed states, in the Calcium-60 region. Though it is not yet observed experimentally, the system Ca-60 with a neutron is expected to have an extremely large S-wave scattering length [5]. Therefore Ca-60 plus few neutrons may present a good system for studying Efimov physics as well as Bose-condensations. A nontrivial problem here is that Ca-60 is not a point particle but a composite system, which may result a relevant effect on the valence neutrons due to the Pauli principle. Another interesting subject is to exploit the hyperspherical approach [6,7,8] to describe large-scale dynamics of a system. So far its application is limited to three-body systems. We would like to extend to more-particle system. As a real application we examine how two-proton and two-neutron system changes with its hyperradius. Based on this study we calculate the resonance energy and width of the first excited state of Helium-4. This study will be a first step forward describing unbound states of many-body systems in a consistent approach. References:[1] W. Horiuchi and Y. Suzuki, Phys. Rev. C74, 034311 (2006).[2] M.T. Yamashita, R.S. Marques de Carvalho, T. Frederico, and L. Tomio, Phys. Lett.B 697, 90 (2011).[3] T. Inakura, W. Horiuchi, Y. Suzuki, and T. Nakatsukasa, Phys. Rev. C89, 064316 (2014).[4] K. Tanaka et al., Phys. Rev. Lett. 104, 062701 (2010).[5] G. Hagen, P. Hagen, H.-W. Hammer, and L. Platter, Phys. Rev. Lett. 111, 132501 (2013).[6] M.V. Zhukov, B.V. Danilin, D.V. Fedorov, J.M. Bang, I.J. Thompson, and J.S. Vaagen, Phys. Rep. 231, 151 (1993).[7] C.D. Lin, Phys. Rep. 257, 1 (1995).[8] E. Nielsen, D.V. Fedorov, A.S. Jensen, and E. Garrido, Phys. Rep. 347, 373 (2001). (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
HORIUCHI, W.; SUZUKI, Y.; SHALCHI, M. A.; TOMIO, LAURO. ossible halo structure of Ca-62,Ca-72 by forbidden-state-free locally peaked Gaussian. PHYSICAL REVIEW A, v. 105, n. 2, . (15/11828-5, 17/05660-0)

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