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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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Su Shi Chun. From experiments, we found that nuclei are more tightly bounded number of protons or neutrons is 2, 8, 20, 28, 50, 82, 126 (Magic numbers).

Su Shi Chun. From experiments, we found that nuclei are more tightly bounded number of protons or neutrons is 2, 8, 20, 28, 50, 82, 126 (Magic numbers).

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