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Tomohiro Oishi A, Kouichi Hagino A, Hiroyuki Sagawa B A Tohoku Univ., B Univ. of Aizu T.Oishi, K.Hagino, and H.Sagawa, PRC82,024315(2010)

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Dineutron correlation in 2n-Borromean nuclei (theoretically predicted): K.Hagino, and H.Sagawa, PRC72(‘05)044321 Remarkable localization of two neutrons “dineutron correlation”. How about two protons in a weakly bound system?

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Typical “2p-Borromean” nucleus; proton-unbound, stable for proton emission. 17 Ne is an ideal system to analyze diproton correlation.

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Off-diagonal

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Parameters are fixed to output g.s.energy of 17 Ne:-0.944 MeV. Density-dependent contact Explicit Coulomb OR Minnesota

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Fixed to reproduce averaged resonance energies Woods-Saxon + Coulomb potential for p-Core

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Note; In actual calculation, 1) We set cutoff-energy:E CUT = 60 MeV. 2) Continium states are discretized by setting infinite wall at R BOX = 30 fm.

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Determined by H- diagonalization 0 + configuration for g.s. calculation

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“Diproton correlation”

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MinnesotaContact

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We performed three-body-model calculation for 17 Ne with two types of pairing plus explicit Coulomb interaction. 1.Coulomb repulsion contributes about 14% reduction to pairing energy. 2.Existence of strong “diproton correlation”. Future work: application to 2p-emission.

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Woods-Saxon + Coulomb potential for p-Core

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Put infinite wall at r=R box : Continuum states are discretized. Resonances of 16 F at 0.675 MeV (s 1/2 ) and at 1.129 MeV (d 5/2 ) are reproduced.

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Density-dependent contact interaction Explicit Coulomb interaction We need cutoff:E C to determine v 0 (pairing in vacuum). Other parameters are fixed to obtain g.s.energy of 17 Ne:-0.944 MeV.

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S.Hilaire et al., Phys.Lett.B531(2002) protons neutrons Pairing gap of protons and neutrons

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Table of Nuclides, http://atom.kaeri.re.kr/ton/nuc6.html

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