Abstract
For the Σ–Σ–α system we theoretically look into the possible existence of a quasi-bound state in the framework of Faddeev calculations. We are particularly interested in the state of total iso-spin T=2, because there is no strong conversion between Ξ–N–α and \({\Lambda-\Lambda-\alpha}\) . An analytic continuation using the point method is applied to search the eigenvalue in the complex energy plane. In our results the Σ–Σ–α three-body system has two quasi-bound states (J π = 0+) where, depending on the potential parameters in the Nijmegen NSC97 model potential, the energy ranges between −1.4 and −2.4 MeV and the level width is about 0.4 MeV for the ground state. In addition, we obtained the excited state at −0.15 MeV (width 4 MeV).
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Danysz M. et al.: The identification of a double hyperfragment. Nucl. Phys. A 49, 121–132 (1963)
Prowse D.J. et al.: \({{_{\Lambda \Lambda}^{6}}}\) He double hyperfragment. Phys. Rev. Lett. 17, 782–785 (1966)
Aoki S. et al.: Direct observation of sequential weak decay of a double hypernucleus. Prog. Theor. Phys. 85, 1287–1298 (1991)
e.g., Nakazawa, K.: Experimental Study of the Interaction between Two Lambda Hyperons. Proceedings of this conference.
Rijken Th. et al.: Soft-core hyperon–nucleon potentials. Phys. Rev. C 59, 21–40 (1999)
Stoks V.G.J., Yamamoto Y.: Soft-core baryon–baryon potentials for the complete baryon octet. Phys. Rev. C 59, 3009–3020 (1999)
Rijken Th. A., Yamamoto Y.: Recent Nijmegen soft-core hyperon–nucleon and hyperon–hyperon interactions. Nucl. Phys. A 691, 322c–328c (2001)
Reuber A., Holinde K., Speth J.: Meson-exchange hyperon–nucleon interactions in free scattering and nuclear matter. Nucl. Phys. A 570, 543–579 (1990)
Fujiwara Y., Nakamoto C., Suzuki Y.: Effective meson-exchange potentials in the SU6 quark model for NN and YN interactions. Phys. Rev. C 54, 2180–2200 (1996)
Akaishi, Y., Shinmura, S. private communication.
Oo H.H., Mynint K. S., Kamada H., Glöckle W.: Does Σ-Σ- α Form a Quasi-Bound State?. Prog. Theor. Phys 113, 809–820 (2005)
Nagels M.M. et al.: Baryon–baryon scattering in a one-boson-exchange-potential approach. II. Hyperon-nucleon scattering. Phys. Rev. D 15, 2547 (1977)
Glöckle W.: The Quantum Mechanical Few-Body Problem. Springer, Berlin (1983)
Oo, H.H.: Doctoral thesis, 2004, Mandalay University, unpublished
Schlessinger L.: Use of analyticity in the calculation of nonrelativistic scattering amplitudes. Phys. Rev. 167, 1411–1423 (1986)
Kamada H., Koike Y., Glöckle W.: Complex energy method for scattering processes. Prog. Theor. Phys. 109, 869–874 (2003)
Phyu A.M. et al.: The complex energy method applied to the Nd scattering with a model three-body force. Prog. Theor. Phys. 127, 1033–1039 (2012)
Uzu, E., Kamada, H., Koike, Y.: Complex energy method in four-body Faddeev–Yakubovsky equations. Phys. Rev. C. 68, 061001(R) (2003)
Deltuva, A., Fonseca, A.C.: Neutron-3 H scattering above the four-nucleon breakup threshold. Phys. Rev. C. 86, 011001(R) (2012)
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Oo, H.H., Myint, K.S., Kamada, H. et al. Does Σ–Σ–α Form Quasi-Bound States?. Few-Body Syst 54, 1283–1286 (2013). https://doi.org/10.1007/s00601-013-0601-9
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DOI: https://doi.org/10.1007/s00601-013-0601-9