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The K ¯ - nucleus Elastic Scattering and Momentum Dependent Optical PotentialsPowerPoint Presentation

The K ¯ - nucleus Elastic Scattering and Momentum Dependent Optical Potentials

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### The K¯ -nucleus Elastic Scattering and Momentum Dependent Optical Potentials

Nankai University

Xian-Hui Zhong

K-G equation for K-nucleus interaction

- K-G equation：
where k is the K¯-nucleus interaction wave number ，is the reduce energy， is the coulomb potential. K atom and K¯- nucleus scattering …all need determine Ｋ- nucleus optical potential .

The strong attraction potential of K¯-nucleus

Some results from different models：

- 1、 DD model (fit K atom data)：
-200±20 MeV

- 2、RMF model (fit K atom data) ：-180 ±20 MeV
- 3、analysis K production in heavy ion collision: -80~-120 MeV
- 4、chiral dynamical (K atom)：-50 MeV
Does Ｋ- nucleus optical potential have momentum dependent? PRC,67(2003)047601

The potential model ofＫ- nucleus interaction

- 1、DD(density dependent) model：
with

Nuclear density

Reduce mass

Saturation nuclear density

3、Hybrid model（RMF+DD）

- The real part of potential : RMF model
The virtual part of potential : DD model

The elastic scattering cross section of K¯-nucleus

- 1、the results of DD，RMF and Hybrid model
can not reproduce the experimental data at all！？

2、Considering momentum dependence

- If the optical potential depends the entrance momentum of K¯ and noted：
- where is the real and virtual part of potential independent momentum.

2、The results of Considering momentum dependence

Considering momentum dependence, the experimental data can be fit well！

Summary and outlook

- 1、Ｋ- nucleus optical potential has momentum dependence.
- 2、fitＫ- nucleus elastic scattering experimental data yields：real part potential: -45 -55 MeV；virtual part： -35 MeV (strong absorptive).
- 3、Ｋ- nucleus elastic scattering is sensitive to the potential of the nuclear surface.
- 4、由于K原子、K-核散射、K产生、K凝聚都与K-核相互作用势VK相联系，因而当前K-核势的理论研究受到关注。
- 5、 K-核势的强吸引导致K-的能量EK随着核密度的增加而减小，当减小到比电子化学势还要小就会出现K凝聚。中子星内部是否能够出现K凝聚与KN散射长度和K-核势强度VK0有关

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