effect of tensor on halo and subshell structure in ne, o and mg isotopes chen qiu supervisor: prof....
DESCRIPTION
The shell structure of nuclei has formed a fundamental basis for understanding their properties. O, Ne and Mg has abundance of orbit near drip line. Tensor correlation plays an important role on the properties of finite nuclei. IntroductionTRANSCRIPT
Effect of tensor on halo and subshell structure in Ne, O and Mg
isotopes
Chen QiuSupervisor: Prof. Xian-rong Zhou
Xiamen University
April. 13 , 2012
Content
Introduction
Theoretical Framework
Result and discussion
Summary
The shell structure of nuclei has formed a fundamental basis for understanding their properties.
O, Ne and Mg has abundance of orbit near drip line.
Tensor correlation plays an important role on the properties of finite nuclei.
Introduction
Introduction
Why consider tensor force ?Theoretical framework
G.Colo , H.Sagawaet.al,PLB,646,(2007)227
June 9th 2009, Japan RIKEN center found halo structure of 31Ne
Introduction
0.29 1.64nS MeV
Theoretical framework
Hartree-Fock equation
Skyrme interaction
Tensor force
Hartree-Fock theory
Skyrme-Hartree-Fock equation:
Theoretical framework
EE effHH
Slater determinant 1-body density matrix
• The unknown exact energy is set equal (ansatz!) to a much simpler expectation value on a Slater determinant.
The energy density founctional for centeral exchange and tensor part ：
])[(161)(
161 22
212
2211 npsg JJttJxtxtH
)(245)(
245 22
pnpntensor JJUJJUTH
pnpn JJJJH )(21 22
TcTc ,
)(rJqis the spin density
Theoretical framework
)(]')(31)')('{[(
2 212
2121 rrkkkTVtensor
Tensor Force:]})(
31))()[(( 2
212121 kkkrr
)]')(()(31))(()'[( 21212211 kkrrkrrkU
Numerical detailApply harmonic oscillator basis to solve equation
Given pairing force:V0= -410MeV
Use different skyrme parameter sets
Theoretical framework
Skyrme force para. sets
with tensor without tensorSLy5+T SLy5
T31,T41 SLy4
T24,T44 SGII
…… ……
Results and discussion
Bulk properties of Ne isotopes
Halo structure in 31Ne
Density distribution of Ne isotopes
Shell structure of N=16
Result and discussion
Ne isotopes(deformation value:beta)
SLy5 and SLy5+T both give spherical shape at 30Ne
34Ne is drip line nucleus
Result and discussion
Ne isotopes
Di-neutron separation energy can fit experimental data well except for SGII
Calculated Result is between the error range of Japan RIKEN
Result and discussion
Ne isotopes (radii)
Slope of neutron radius changes steep at 18Ne --- Shell effect
Slope of neutron radius changes steep at 30Ne ---halo ???
Result and discussion
Ne isotopes (neutron density distribution)
Neutron density has no abnormal changes at r axis.
Neutron density has significant dispersion at z axis
Result and discussion
Binding energy per A of O and Mg
Result and discussion
Calculation of Mg can fit experiment data well.
Calculation of O is over experimental data.
Mg isotopes
Odd-even difference is well reproduced.
Curve steep changes at N=16 with tensor.
Result and discussion
O isotopes
Calculation with tensor can fit experimental data at N=16 to N=18 perfect.
Result and discussion
Summary:
Calculation obtains unstable 31Ne halo structure.
Calculation reveals that 31Ne is prolate deformation.
N=16 could be a subshell between N=8 and N=20
Summary
