# Resonances from lattice QCD

## Abstract

The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for the determination of resonant electroweak amplitudes from finite-volume matrix elements. I use the recent calculation of the πγ* → ππ amplitude as an example illustrating the power of this formalism. From such amplitudes one can determine transition form factors of resonances. I close by reviewing on-going efforts to generalize these ideas to increasingly complex reactions and I then give a outlook of the field.

- Authors:

- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1432456

- Report Number(s):
- JLAB-THY-17-2578; DOE/OR/23177-4236

Journal ID: ISSN 2100-014X; PII: epjconf_lattice2018_01016; TRN: US1802525

- Grant/Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- EPJ Web of Conferences

- Additional Journal Information:
- Journal Volume: 175; Conference: 35. International Symposium on Lattice Field Theory (Lattice 2017), Granada (Spain), 18-24 Jun 2017; Journal ID: ISSN 2100-014X

- Publisher:
- EDP Sciences

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Briceno, Raul A.
```*Resonances from lattice QCD*. United States: N. p., 2018.
Web. doi:10.1051/epjconf/201817501016.

```
Briceno, Raul A.
```*Resonances from lattice QCD*. United States. doi:10.1051/epjconf/201817501016.

```
Briceno, Raul A. Mon .
"Resonances from lattice QCD". United States. doi:10.1051/epjconf/201817501016. https://www.osti.gov/servlets/purl/1432456.
```

```
@article{osti_1432456,
```

title = {Resonances from lattice QCD},

author = {Briceno, Raul A.},

abstractNote = {The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for the determination of resonant electroweak amplitudes from finite-volume matrix elements. I use the recent calculation of the πγ* → ππ amplitude as an example illustrating the power of this formalism. From such amplitudes one can determine transition form factors of resonances. I close by reviewing on-going efforts to generalize these ideas to increasingly complex reactions and I then give a outlook of the field.},

doi = {10.1051/epjconf/201817501016},

journal = {EPJ Web of Conferences},

number = ,

volume = 175,

place = {United States},

year = {Mon Mar 26 00:00:00 EDT 2018},

month = {Mon Mar 26 00:00:00 EDT 2018}

}