dorsal/arxiv
View Schema$\Lambda$$\Lambda$ interactions in finite-density QCD sum rules
| Authors | X. H. Zhong, P. Z. Ning |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609022 |
| URL | https://arxiv.org/abs/nucl-th/0609022 |
| DOI | 10.1103/PhysRevC.75.055206 |
| Journal | Phys.Rev.C75:055206,2007 |
Abstract
The properties of $\Lambda$-hyperons in pure $\Lambda$ matter are studied with the finite-density QCD sum rule approach. The first order quark and gluon condensates in $\Lambda$ nuclear matter are deduced from the chiral perturbation theory. The sum rule predictions are sensitive to the four-quark condensates, $<\bar{q}q>^2_{\rho}$ and $<\bar{q}q>_{\rho}<\bar{s}s>_{\rho}$, and the $\pi N$ sigma term. When $<\bar{q}q>^2_{\rho}$ is nearly independent of density and $<\bar{q}q>_{\rho}<\bar{s}s>_{\rho}$ depends strongly on density, we can obtain weakly attractive $\Lambda$$\Lambda$ potentials (about several MeV) in low $\Lambda$ density region, which agree with the information from the latest double $\Lambda$ hyper-nucleus experiments. The nearly no density dependence of $<\bar{q}q>^2_{\rho}$ and strong density dependence of $<\bar{q}q>_{\rho}<\bar{s}s>_{\rho}$ can be explained naturally if the properties of $<\bar{q}q>^2_{\rho}$ and $<\bar{q}q>_{\rho}<\bar{s}s>_{\rho}$ are assumed to be similar to those of $\pi\pi$ and $\bar{K} K$ in nuclear medium, respectively.
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"abstract": "The properties of $\\Lambda$-hyperons in pure $\\Lambda$ matter are studied\nwith the finite-density QCD sum rule approach. The first order quark and gluon\ncondensates in $\\Lambda$ nuclear matter are deduced from the chiral\nperturbation theory. The sum rule predictions are sensitive to the four-quark\ncondensates, $\u003c\\bar{q}q\u003e^2_{\\rho}$ and $\u003c\\bar{q}q\u003e_{\\rho}\u003c\\bar{s}s\u003e_{\\rho}$,\nand the $\\pi N$ sigma term. When $\u003c\\bar{q}q\u003e^2_{\\rho}$ is nearly independent of\ndensity and $\u003c\\bar{q}q\u003e_{\\rho}\u003c\\bar{s}s\u003e_{\\rho}$ depends strongly on density,\nwe can obtain weakly attractive $\\Lambda$$\\Lambda$ potentials (about several\nMeV) in low $\\Lambda$ density region, which agree with the information from the\nlatest double $\\Lambda$ hyper-nucleus experiments. The nearly no density\ndependence of $\u003c\\bar{q}q\u003e^2_{\\rho}$ and strong density dependence of\n$\u003c\\bar{q}q\u003e_{\\rho}\u003c\\bar{s}s\u003e_{\\rho}$ can be explained naturally if the\nproperties of $\u003c\\bar{q}q\u003e^2_{\\rho}$ and $\u003c\\bar{q}q\u003e_{\\rho}\u003c\\bar{s}s\u003e_{\\rho}$\nare assumed to be similar to those of $\\pi\\pi$ and $\\bar{K} K$ in nuclear\nmedium, respectively.",
"arxiv_id": "nucl-th/0609022",
"authors": [
"X. H. Zhong",
"P. Z. Ning"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.055206",
"journal_ref": "Phys.Rev.C75:055206,2007",
"title": "$\\Lambda$$\\Lambda$ interactions in finite-density QCD sum rules",
"url": "https://arxiv.org/abs/nucl-th/0609022"
},
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