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Isospin dependent Pairing Interaction. Carlos Bertulani, Texas A&M University at Commerce Hong Feng Lu, China Agricultural University/UoA Hiroyuki Sagawa, University of Aizu. M.Yamagami Y.R.Shimizu. M. Stoitsov W.Nazarewicz G.Bertsch. UNEDF. Isospin dependent Pairing Interaction. - PowerPoint PPT Presentation
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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