Method to study complex systems of mesons in lattice QCD
Abstract
Correlation functions involving many hadrons allow finite density systems to be explored with Lattice QCD. Recently, systems with up to 12 $$\pi^+$$'s or $K^+$'s have been studied to determine the the $$3$$-$$\pi^+$$ and $$3$$-$K^+$ interactions and the corresponding chemical potential has been determined as a function of density in each case. We derive recursion relations between correlation functions that allow us to extend this work to systems of arbitrary numbers of mesons and to systems containing arbitrary different types of mesons such as $$\pi^+$$'s, $K^+$'s, $D^0$'s and $B^+$'s. These relations allow for the study of finite-density systems in arbitrary volumes, and the study of high-density systems. Systems comprised of up to N=12 m mesons can be explored with Lattice QCD calculations utilizing $$m$$ different sources for the quark propagators. As the recursion relations require only a small, N-independent, number of operations to derive the N+1 meson contractions from the N meson contractions, they are compuationally feasible.
- Authors:
-
- College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Univ. of Washington, Seattle, WA (United States)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1256901
- Report Number(s):
- JLAB-THY-10-1121; DOE/OR/23177-1068; arXiv:1001.2768
Journal ID: ISSN 1550-7998; PRVDAQ
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 82; Journal Issue: 1; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Detmold, William, and Savage, Martin J. Method to study complex systems of mesons in lattice QCD. United States: N. p., 2010.
Web. doi:10.1103/PhysRevD.82.014511.
Detmold, William, & Savage, Martin J. Method to study complex systems of mesons in lattice QCD. United States. https://doi.org/10.1103/PhysRevD.82.014511
Detmold, William, and Savage, Martin J. Fri .
"Method to study complex systems of mesons in lattice QCD". United States. https://doi.org/10.1103/PhysRevD.82.014511. https://www.osti.gov/servlets/purl/1256901.
@article{osti_1256901,
title = {Method to study complex systems of mesons in lattice QCD},
author = {Detmold, William and Savage, Martin J.},
abstractNote = {Correlation functions involving many hadrons allow finite density systems to be explored with Lattice QCD. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the the $3$-$\pi^+$ and $3$-$K^+$ interactions and the corresponding chemical potential has been determined as a function of density in each case. We derive recursion relations between correlation functions that allow us to extend this work to systems of arbitrary numbers of mesons and to systems containing arbitrary different types of mesons such as $\pi^+$'s, $K^+$'s, $D^0$'s and $B^+$'s. These relations allow for the study of finite-density systems in arbitrary volumes, and the study of high-density systems. Systems comprised of up to N=12 m mesons can be explored with Lattice QCD calculations utilizing $m$ different sources for the quark propagators. As the recursion relations require only a small, N-independent, number of operations to derive the N+1 meson contractions from the N meson contractions, they are compuationally feasible.},
doi = {10.1103/PhysRevD.82.014511},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 1,
volume = 82,
place = {United States},
year = {Fri Jul 30 00:00:00 EDT 2010},
month = {Fri Jul 30 00:00:00 EDT 2010}
}
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Works referenced in this record:
High statistics analysis using anisotropic clover lattices. II. Three-baryon systems
journal, October 2009
- Beane, Silas R.; Detmold, William; Luu, Thomas C.
- Physical Review D, Vol. 80, Issue 7
Helium nuclei in quenched lattice QCD
journal, June 2010
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journal, February 2008
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Multipion states in lattice QCD and the charged-pion condensate
journal, July 2008
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Kaon condensation with lattice QCD
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- Detmold, William; Orginos, Kostas; Savage, Martin J.
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Works referencing / citing this record:
Multi-hadron systems in lattice QCD
journal, July 2013
- Detmold, William
- The European Physical Journal A, Vol. 49, Issue 7
Hadrons and nuclei
journal, November 2019
- Detmold, William; Edwards, Robert G.; Dudek, Jozef J.
- The European Physical Journal A, Vol. 55, Issue 11