M. Matsuo, PRC73(’06)044309

Matter Calc.

Two-particle density

Dipole Excitations

Response to the dipole field:

Smearing:

Experimental proof of di-neutron

Comparison with expt. data (11Li)

Epeak=0.66 MeVB(E1) = 1.31 e2fm2 (E < 3.3 MeV)

T. Nakamura et al., PRL96,252502(2006)

Epeak ~ 0.6 MeVB(E1) = (1.42 +/- 0.18) e2fm2 (E < 3.3 MeV)

T. Aumann et al., PRC59, 1259(1999)

Constraining the size of 11Li by various experiments

R

r

H. Esbensen et al., Phys. Rev. C (2007).

Geometry of Borromean nuclei

11Li

6He

B(E1)

matter radius

(11Li)

(6He)

K.Hagino and H. S.,PRC76(’07)047302

“experimental” mean opening angle

C.A. Bertulani and M.S. Hussein, PRC76(’07)051602

12

11 e n

1

2e

2

Li9

１１ Li three-body break-up cross sections

2n

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 11Li

full calculation(with FSI)

（ without FSI)

(with FSI) No Vn-core

(No Vn-core

virtual s-state!virtual s-state!

full calculation No Vn-core

(with FSI)

（ without FSI)

Di-proton correlation in aproton-rich Borromean

nucleus 17Ne

Tomohiro OishiA,Kouichi HaginoA, Hiroyuki SagawaB

ATohoku Univ., BUniv. of Aizu

PRC82, 024315(2010)http://arxiv.org/abs/1007.0835

])(exp[1)(

1

4)()(),(

101

210

2

12121

aRr

vvrg

rr

ergrrrrVpp

2.2 Pairing interaction

Density-dependent contact interaction

Explicit Coulomb interaction

2

22

0 ,2

22

mE

kak

a

mv C

CnnC

nn

(fm) 5.18

, )2('

)1(

nn

Cljnnlj

a

E

We need cutoff:EC to determine v0 (pairing in vacuum).

Other parameters are fixed to obtain g.s.energy of 17Ne:-0.944 MeV.

2.3 Single-particle basis

smillm

lmsmsliljm

iljminljinljm

rYmjmmlr

rrRr

)ˆ(,|,21;,),ˆ(

, ),ˆ()()(

,

)()(1

)()(

)()()(

200 rVrf

dr

d

rsVrrfV

rVrVrV

Clmbls

ClmbWSpC

])(exp[1

1)(

CoreCore aRrrf

)( 4

1

)( 32

1

4

1)(

2

0

22

0

CoreC

CoreCoreCore

CClmb

Rrr

eZ

RrR

r

R

eZrV

Woods-Saxon + Coulomb potential for p-Core

3.1 Results (1)

(C)ppV excluding

, (fm) 81.7ppa

0.14 )(

)(

Npp

Cpp

V

V

2NNr

22 CNr

Core

22

2

2

C

C12

1-12

3

2A

AE1 , coscos CN

C reZ

B

Corer

2

221 CNrz

z

3.2 Results (2)

1222

1221 sin24),( rrrrr

1222122222

1/2221 sin , cos , ), ; z( rxrzxzrr CN

Ne17C16

“Di-proton correlation”

Summary IApplication of three-body model to Borromean nuclei

11Li

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 11Li and 6He

K.Hagino and H. S., PRC72(’05) 044321.K.H.agino and H. S., PRC75(’07)021301(R).K.Hagino, H. S., J. Carbonell, and P. Schuck, PRL99(’07)022506.H. Esbensen, K.Hagino, P. Mueller, and H. S., PRC76(’07)024302.K.Hagino and H. S., PRC76(’07) 047302.

energy and angular n-n coincidence cross sections

Recent publications:Recent publications:Recent publications:Recent publications:

K.Hagino, H.S. ,T. Nakamura and S. Shimoura, PRC80,031301 (R)(2009).

Di-proton correlations in 17Ne

T.Oishi, K. Hagino and HS, PRC82,024315 (2010).

Strong di-proton correlations is found in 17NeTwo body Coulomb interaction decreases 13% of di-proton correlations.

Summary II

Spatial structure of neutron Cooper pair in infinite matter

M. Matsuo, PRC73(’06)044309

BCS

Crossover region

BCS-BEC crossover behavior in infinite nuclear matter

Neutron-rich nuclei Weakly bound levelsdilute density around surface (halo/skin)

pairing gap in infinite nuclear matter

M. Matsuo, PRC73(’06)044309