Isospin dependent Pairing Interaction

Carlos Bertulani, Texas A&M University at CommerceHong Feng Lu, China Agricultural University/UoAHiroyuki Sagawa, University of Aizu

M. StoitsovW.NazarewiczG.Bertsch

M.YamagamiY.R.Shimizu

UNEDF

Isospin dependent Pairing Interaction

0 1 2

1 P(1,2) , ( )

2pair zV V g r r

1 2, , ,z z zg g g

1s n

0 0

, 1 f ( ) f ( )s n

z z s z ng

J.Margueron, HS and K. HaginoPRC76,064316(2007) and PRC77,054309(2008)

s n n

( ) ( )f ( ) 1 f ( ), f ( )

( )n p

z z z z z

r rr

0

s n

nn scattering length, , , pairing gaps in nuclear and neutron matters n

V

Sn PbIS+IV 0.27 0.26

IS 0.42 0.60

12/A1/2 0.31 0.29

M.Stoitsov, HFB (preliminary)

PreliminaryIsospin Dependent Pairing

No free parameters!

0

s n

nn scattering length, , , pairing gaps in nuclear and neutron matters n

V

9

To be clarifiedTo be clarified

• Extension to isotones (I2 term (Yamagami) + Two-body Coulomb)

• IS+IV pairing interaction looks promising for the fitting purpose.

• Can pairing correlation properties be isolated from the full functional?

Universal Pairing Density Functional with Isospin Dependent Pairing

Summary

Isospin dependent interaction is applied to describe the pairing properties of finite nuclei successfully.Toward universal pairing density functional.

Core Polarization Effect in Finite Nuclei still needs to be clarified.

Preliminary M.Stoitsov, H.F.Lu