Global fitting of pairing density functional; the isoscalar-density dependence revisited. Masayuki YAMAGAMI ( University of Aizu ). Motivation. Construction of energy density functional for description of static and dynamical properties across the nuclear chart.
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(University of Aizu)
Construction of energy density functional for description of
static and dynamical properties across the nuclear chart
⇒ Focusing on the pairing part (pairing density functional)
Determination of r–dependence (Not new problem, but one of bottlenecks in DF calc.)
Connection to drip-line regions
Density dependence of pairing in nuclei
Standard density functional for pairing
Our question:How to determine h0 ??
Mass number A dependence of pairing
J. Dobaczewski, W. Nazarewicz, Prog. Theor. Phys. Supp. 146, 70 (2002)
Neutron excess a=(N-Z)/Adependence
(same dependence for proton pairing)
Mass data: G. Audi et al., NPA729, 3 (2003)
Dn,exp: 3-point mass difference formula
Pairing density functional with isoscalar & isovector density dep.
Data: G. Audi et al., NPA729, 3 (2003)
Dexp: 3-point mass difference formula
- Skyrme SLy4 case -
(à laBertsch & Esbensen)
Validity of assumption V0=Vvac
Procedure 1;V0=Vvac + optimized (h0, h1, h2)
Procedure 2;Optimized (h0, h1, h2, V0)
m*/m=0.7~0.8 ⇒ Good coincidence
Procedure 1 ~Procedure 2
m*/m=1.0⇒ stotof 1 & 2 are comparable,
although the minimum positions are different.
r-dependence of the pairing part of local energy density functional is studied.
All even-even nuclei with experimental data are analyzed by Skyrme-HFB.
Strong r–dep. (h0～0.8) for typical Skyrme forces
r1–tems should be included.
Connection todrip-line regions, if m*/m=0.7~0.8.
12 Skyrme parameters
SKT6 (k=0.00), SKO’ (0.14), SKO (0.17), SLy4 (0.25), SLy5 (0.25), SKI1 (0.25), SKI4 (0.25), BSK17 (0.28), SKP (0.36), LNS (0.37), SGII (0.49), SkM* (0.53)
a -dependence of effective masses