# On influence of experimental resolution on the statistical significance of a signal : implication for pentaquark searches.

## Abstract

An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a rigorous least-squares regression analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the constructed trajectories do not have nonlinear behavior. A similar regularity may exist for lowest-mass mesons. The linear baryonic trajectories are well described by a semiclassical picture based on a spinning relativistic string with tension. The obtained numerical solution of this model was used to extract the (di)quark masses.

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC); Russian Foundation for Basic Research

- OSTI Identifier:
- 960368

- Report Number(s):
- ANL-HEP-PR-07-47

Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US0904385

- DOE Contract Number:
- DE-AC02-06CH11357

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys. Rev. D; Journal Volume: 75; Journal Issue: 2007

- Country of Publication:
- United States

- Language:
- ENGLISH

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANGULAR MOMENTUM; BARYONS; CONSTRUCTION; MESONS; NUMERICAL SOLUTION; REGRESSION ANALYSIS; RESOLUTION; TRAJECTORIES

### Citation Formats

```
Chekanov, S., Levchenko, B. B., High Energy Physics, and Skobeltsyn Inst. of Nuclear Physics.
```*On influence of experimental resolution on the statistical significance of a signal : implication for pentaquark searches.*. United States: N. p., 2007.
Web. doi:10.1103/PhysRevD.75.014007.

```
Chekanov, S., Levchenko, B. B., High Energy Physics, & Skobeltsyn Inst. of Nuclear Physics.
```*On influence of experimental resolution on the statistical significance of a signal : implication for pentaquark searches.*. United States. doi:10.1103/PhysRevD.75.014007.

```
Chekanov, S., Levchenko, B. B., High Energy Physics, and Skobeltsyn Inst. of Nuclear Physics. Mon .
"On influence of experimental resolution on the statistical significance of a signal : implication for pentaquark searches.". United States.
doi:10.1103/PhysRevD.75.014007.
```

```
@article{osti_960368,
```

title = {On influence of experimental resolution on the statistical significance of a signal : implication for pentaquark searches.},

author = {Chekanov, S. and Levchenko, B. B. and High Energy Physics and Skobeltsyn Inst. of Nuclear Physics},

abstractNote = {An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a rigorous least-squares regression analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the constructed trajectories do not have nonlinear behavior. A similar regularity may exist for lowest-mass mesons. The linear baryonic trajectories are well described by a semiclassical picture based on a spinning relativistic string with tension. The obtained numerical solution of this model was used to extract the (di)quark masses.},

doi = {10.1103/PhysRevD.75.014007},

journal = {Phys. Rev. D},

number = 2007,

volume = 75,

place = {United States},

year = {Mon Jan 01 00:00:00 EST 2007},

month = {Mon Jan 01 00:00:00 EST 2007}

}

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