Holographic Nuclei in Soft-wall Model

Kyung-il Kim

February, 21-24, Hadron-Nuclear Physics 2011

Intro. : Density Distribution in Nuclei

2/11Feb 21-24, 2011, HNP2011

<Radial charge distributions of various nuclei>Ref. B.R. Martin

For medium and heavy nuclei(A>20),

<Density profile of nuclei>

Normal nuclear density is,

Intro. : Soft-wall Model

3/11Feb 21-24, 2011, HNP2011

<AdS/CFT correspondences>

<5D AdS metric>

<Chemical potential and density>

4D generating functional 5D classical effective action

Operator 5D bulk field

[Operator] 5D mass

Current conservation Gauge symmetry

Resonances Klauza-Klein states

where,

Intro. : Soft-wall Model

4/11Feb 21-24, 2011, HNP2011

Ref. Ghergetta, Kapusta, and Kelly(2009)

<5D action for gauge field>

with

scale factor

In soft-wall model, we can reproduce the Regge-like be-havior of the mass spectrum.

Also, we can obtain IR-boundary condition without ambiguity.

Holographic Nuclei in Hard-wall Model

5/11Feb 21-24, 2011, HNP2011

<5D AdS metric in spherical coordinate>

<5D action in hard-wall model>

<Equation of motion in (r,z)-direction>

Ref. K.Kim, Y.Ko, and Y.Kim(2010)

with decomposition as

The general solution

Holographic Nuclei in Hard-wall Model

6/11Feb 21-24, 2011, HNP2011

<IR-boundary condition>

One possible choice!

<The behavior of gauge field solution near UV-boundary>

Two boundary conditions at center r=0 and at surface r=R,

where,

Holographic Nuclei in Hard-wall Model

7/11Feb 21-24, 2011, HNP2011

<Density distribution of nuclei in hard-wall model>

Holographic Nuclei in Soft-wall Model

8/11Feb 21-24, 2011, HNP2011

<Equation of motion in (r, z)-direction>

<5D action and metric>

using separation of variables

Solution for A(r),

Holographic Nuclei in Soft-wall Model

9/11Feb 21-24, 2011, HNP2011

<Asymptotic solution for B(z)>

The general solution when l=0,

Near UV-boundary,

Near IR-boundary,

Converge! Diverge!

Holographic Nuclei in Soft-wall Model

10/11Feb 21-24, 2011, HNP2011

<The result>

Ex) A=20

Summary

• We studied a spherically symmetric dense object in soft-wall model.

• We try to improve the studies in hard-wall model by remov-ing the ambiguity at IR-boundary.

• The density profile obtained from soft-wall model is not so bad until A<30, however it does not have much plateau.

11/11Feb 21-24, 2011, HNP2011

Thank you for your attention!