Isospin dependent interactions in RMF & ρNN tensor coupling

• Introduction• ρNN tensor coupling in RMF

• Some results

• Summary

Wei-Zhou JIANG Collaborators: Y.L.ZHAO, et.al.

Shanghai Institute of Applied Physics

Brockmann,Machleidt ， PRC42,1965(1990)

Li Bao-An,PRL88,192701(2002)

RM

F

• Reveal the relationship between the single neutron separation energy and the trength of the halo neutron–proton HBT. Results show that neutron–proton HBT results are sensitive to binding energy or separation energy.

Y.B.Wei, Y.G.Ma, et.al., Exploring the binding energy and separation energy dependences of HBT strength, Phys. Lett. B 586(2004)225

Nuclear Structure Density dependence of the symmetry energy (DDSE)• Abundance of information:Binding Energy, Densit

y distribution, Deformations, Excitations, etc• More definite: structure information

• Deficiency ： Nuclei far off stability ； Insensitivity of DDSE at low density

RMFNN tensor coupling

with

A large NN tensor Coupling:

The dispersion-theoretical analysis of the nucleon electromagnetic form factorsG.Höler, E.Pietarinen, NPB95(1975) 210; P.Mergell, et.al. NPA596(1996)367

The analysis of the NN scattering G.E.Brown, R.Machleidt, PRC 50(1994)1731

The light cone sum rulesS.L.Zhu, PRC59(1999)435

1.Inclusion of isoscalar-isovector coupling: Modify neutron thickness of 208Pb other than its proton distribution

改变 Pb 的中子而非电荷分布

2.Particularity of light exotic nuclei: Coupling between the neighboring shells of neutron and proton influences the charge distribution; Experimentally yet to be measured

邻近中子质子壳耦合 , 对电荷分布影响如何 ? 实验上待测

3.NN tensor couling:

不改变核物质性质 (RMF) 而影响有限核性质

(1) Influence the properties of finite nuclei without changing those of nuclear matter in RMF

(2) The isoscalar-isovector coupling modifies the source term of rho meson (also the tensor coupling)

(3)Tensor coupling is relevant to the gradient of the related density

RMF Eqs:

Establish data to data correlation of neutron thickness of 208Pb and nucleon radii of light exotic nuclei

At Jefferson Lab

Charge distribution measurement at GSI and RIKEN in future

0.35, 0.5, 083 for 2s1/2 of 22,23,24O

Model dependence ( NL3, S271)

• Same saturation density kF=1.30fm-1

• Same binding energy per nucleon (16.24MeV)

• Same and incompressibility (271MeV)

• But different effective mass: For NL3: 0.59M; for S271 : 0.7M

Another Role of rho NN tensor coupling:

26Ne

Influence on halos

Summary• 23,24O, 25,26F, 26Ne 208Pb with isoscalar-isovector couplings

• Charge radii of exotic nuclei sensitive to the density dependence of symmetry energy

NN tensor coupling enhances the sensitivity, subject to the 2S1/2 occupancy

• NN tensor coupling reduces the model dependence

PLB617(2005)33; PRC(2005) to be published

Acknowledgment

• 兰州重离子加速器国家实验室理论物理中心• CAS Knowledge Innovation Project No.KJCX2-

N11• National Natural Sciences Foundation of Chin

a under grant No.10405031, 10235030 • Major State Basic Research Development Prog

ram under grant No. G200077400

谢谢谢谢 !!Thanks!Thanks!

FUTURE EFFORTS

• Nuclear structure of exotic nuclei

• Superheavy nuclei

• Hypernuclei

• Neutron stars

• In thermodynamics