M. Matsuo, PRC73(’06) Matter Calc.
Two-particle density
Dipole Excitations Response to the dipole field: Smearing: Experimental proof of di-neutron
Comparison with expt. data ( 11 Li) E peak =0.66 MeV B(E1) = 1.31 e 2 fm 2 (E < 3.3 MeV) T. Nakamura et al., PRL96,252502(2006) E peak ~ 0.6 MeV B(E1) = (1.42 +/- 0.18) e 2 fm 2 (E < 3.3 MeV) T. Aumann et al., PRC59, 1259(1999)
Constraining the size of 11 Li by various experiments R r H. Esbensen et al., Phys. Rev. C (2007).
Geometry of Borromean nuclei 11 Li 6 He B(E1) matter radius ( 11 Li) ( 6 He) K.Hagino and H. S.,PRC76(’07) “experimental” mean opening angle C.A. Bertulani and M.S. Hussein, PRC76(’07) 12
11 Li three-body break-up cross sections K. Hagino, H.S.,T.Nakamura and S.Shimoura, PRC80,031301(R)(2009)
Dalitz Plot of Triple coincidence experiments Exp. T. Nakamura et al., to be published
Nakamura-san’s slides
Double differential strength function for 11 Li full calculation (with FSI) ( without FSI) (with FSI) No V n-core (No V n-core virtual s-state!
full calculationNo V n-core (with FSI) ( without FSI)
Di-proton correlation in a proton-rich Borromean nucleus 17 Ne Tomohiro Oishi A, Kouichi Hagino A, Hiroyuki Sagawa B A Tohoku Univ., B Univ. of Aizu PRC82, (2010)
2.2 Pairing interaction 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: MeV.
2.3 Single-particle basis Woods-Saxon + Coulomb potential for p-Core
3.1 Results (1)
3.2 Results (2) “Di-proton correlation”
Summary I Application of three-body model to Borromean nuclei 11 Li Di-neutron wave function for each R Concentration of a Cooper pair on the nuclear surface Relation to BCS-BEC crossover phenomenon E1 response and geometry of Borromean nuclei n-n coincidence cross sections from 11Li* and 6He* importance of n-core interaction clear evidence of virtual s-state in n-9Li system correlation angle is determined experimentally. strong pair correlations in di-neutrons 12
Di-neutron correlations in 11 Li and 6 He K.Hagino and H. S., PRC72(’05) K.H.agino and H. S., PRC75(’07)021301(R). K.Hagino, H. S., J. Carbonell, and P. Schuck, PRL99(’07) H. Esbensen, K.Hagino, P. Mueller, and H. S., PRC76(’07) K.Hagino and H. S., PRC76(’07) energy and angular n-n coincidence cross sections Recent publications: K.Hagino, H.S.,T. Nakamura and S. Shimoura, PRC80, (R)(2009). Di-proton correlations in 17Ne T.Oishi, K. Hagino and HS, PRC82, (2010). Strong di-proton correlations is found in 17Ne Two body Coulomb interaction decreases 13% of di-proton correlations. Summary II
Spatial structure of neutron Cooper pair in infinite matter M. Matsuo, PRC73(’06) BCS Crossover region
BCS-BEC crossover behavior in infinite nuclear matter Neutron-rich nuclei Weakly bound levels dilute density around surface (halo/skin) pairing gap in infinite nuclear matter M. Matsuo, PRC73(’06)044309