# Valid QCD sum rules for vector mesons in nuclear matter

## Abstract

QCD sum rules for vector mesons ({rho}, {omega}, {phi}) in nuclear matter are reexamined with an emphasis on the reliability of various sum rules. Monitoring the continuum contribution and the convergence of the operator product expansion plays a crucial role in determining the validity of a sum rule. The uncertainties arising from less than precise knowledge of the condensate values and other input parameters are analyzed via a Monte Carlo error analysis. Our analysis leaves no doubt that vector-meson masses decrease with increasing density. This resolves the current debate over the behavior of the vector-meson masses and the sum rules to be used in extracting vector meson properties in nuclear matter. We find a ratio of {rho}-meson masses of {ital m}{sub {rho}}{sup *}/{ital m}{sub {rho}}=0.78{plus_minus}0.08 at nuclear matter saturation density.

- Authors:

- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 (Canada)

- Publication Date:

- OSTI Identifier:
- 132956

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, C

- Additional Journal Information:
- Journal Volume: 52; Journal Issue: 6; Other Information: PBD: Dec 1995

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; NUCLEAR MATTER; VECTOR MESONS; SUM RULES; ERRORS; MASS; MONTE CARLO METHOD; OPERATOR PRODUCT EXPANSION; QUANTUM CHROMODYNAMICS

### Citation Formats

```
Jin, X., and Leinweber, D.B.
```*Valid QCD sum rules for vector mesons in nuclear matter*. United States: N. p., 1995.
Web. doi:10.1103/PhysRevC.52.3344.

```
Jin, X., & Leinweber, D.B.
```*Valid QCD sum rules for vector mesons in nuclear matter*. United States. doi:10.1103/PhysRevC.52.3344.

```
Jin, X., and Leinweber, D.B. Fri .
"Valid QCD sum rules for vector mesons in nuclear matter". United States. doi:10.1103/PhysRevC.52.3344.
```

```
@article{osti_132956,
```

title = {Valid QCD sum rules for vector mesons in nuclear matter},

author = {Jin, X. and Leinweber, D.B.},

abstractNote = {QCD sum rules for vector mesons ({rho}, {omega}, {phi}) in nuclear matter are reexamined with an emphasis on the reliability of various sum rules. Monitoring the continuum contribution and the convergence of the operator product expansion plays a crucial role in determining the validity of a sum rule. The uncertainties arising from less than precise knowledge of the condensate values and other input parameters are analyzed via a Monte Carlo error analysis. Our analysis leaves no doubt that vector-meson masses decrease with increasing density. This resolves the current debate over the behavior of the vector-meson masses and the sum rules to be used in extracting vector meson properties in nuclear matter. We find a ratio of {rho}-meson masses of {ital m}{sub {rho}}{sup *}/{ital m}{sub {rho}}=0.78{plus_minus}0.08 at nuclear matter saturation density.},

doi = {10.1103/PhysRevC.52.3344},

journal = {Physical Review, C},

number = 6,

volume = 52,

place = {United States},

year = {1995},

month = {12}

}