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Title: High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems

Abstract

We present the results of an exploratory Lattice QCD calculation of three-baryon systems through a high-statistics study of one ensemble of anisotropic clover gauge-field configurations with a pion mass of m_\pi ~ 390 MeV. Because of the computational cost of the necessary contractions, we focus on correlation functions generated by interpolating-operators with the quantum numbers of the $$\Xi^0\Xi^0 n$$ system, one of the least demanding three baryon systems in terms of the number of contractions. We find that the ground state of this system has an energy of E_{\Xi^0\Xi^0n}= 3877.9\pm 6.9\pm 9.2\pm3.3 MeV corresponding to an energy-shift due to interactions of \delta E_{\Xi^0\Xi^0n}=E_{\Xi^0\Xi^0n}-2M_{\Xi^0} -M_n=4.6\pm 5.0\pm 7.9\pm 4.2 MeV. There are a significant number of time-slices in the three-baryon correlation function for which the signal-to-noise ratio is only slowly degrading with time. This is in contrast to the exponential degradation of the signal-to-noise ratio that is observed at larger times, and is due to the suppressed overlap of the source and sink interpolating-operators that are associated with the variance of the three-baryon correlation function onto the lightest eigenstates in the lattice volume (mesonic systems). As one of the motivations for this area of exploration is the calculation of the structure andmore » reactions of light nuclei, we also present initial results for a system with the quantum numbers of the triton (pnn). This present work establishes a path to multi-baryon systems, and shows that Lattice QCD calculations of the properties and interactions of systems containing four and five baryons are now within sight.« less

Authors:
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
977154
Report Number(s):
JLAB-THY-09-984; DOE/OR/23177-0704
Journal ID: ISSN 1550-7998; PRVDAQ; TRN: US1002801
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 80; Journal Issue: 7; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BARYONS; CLOVER; CORRELATION FUNCTIONS; EIGENSTATES; EXPLORATION; GROUND STATES; LIGHT NUCLEI; PIONS; QUANTUM CHROMODYNAMICS; QUANTUM NUMBERS; SIGNAL-TO-NOISE RATIO; STATISTICS

Citation Formats

Andre Walker-Loud, Will Detmold, William Detmold, Aaron Torok, Konstantinos Orginos, Silas Beane, Tom Luu, Martin Savage, Assumpta Parreno. High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems. United States: N. p., 2009. Web. doi:10.1103/PhysRevD.80.074501.
Andre Walker-Loud, Will Detmold, William Detmold, Aaron Torok, Konstantinos Orginos, Silas Beane, Tom Luu, Martin Savage, Assumpta Parreno. High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems. United States. https://doi.org/10.1103/PhysRevD.80.074501
Andre Walker-Loud, Will Detmold, William Detmold, Aaron Torok, Konstantinos Orginos, Silas Beane, Tom Luu, Martin Savage, Assumpta Parreno. 2009. "High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems". United States. https://doi.org/10.1103/PhysRevD.80.074501. https://www.osti.gov/servlets/purl/977154.
@article{osti_977154,
title = {High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems},
author = {Andre Walker-Loud, Will Detmold, William Detmold, Aaron Torok, Konstantinos Orginos, Silas Beane, Tom Luu, Martin Savage, Assumpta Parreno},
abstractNote = {We present the results of an exploratory Lattice QCD calculation of three-baryon systems through a high-statistics study of one ensemble of anisotropic clover gauge-field configurations with a pion mass of m_\pi ~ 390 MeV. Because of the computational cost of the necessary contractions, we focus on correlation functions generated by interpolating-operators with the quantum numbers of the $\Xi^0\Xi^0 n$ system, one of the least demanding three baryon systems in terms of the number of contractions. We find that the ground state of this system has an energy of E_{\Xi^0\Xi^0n}= 3877.9\pm 6.9\pm 9.2\pm3.3 MeV corresponding to an energy-shift due to interactions of \delta E_{\Xi^0\Xi^0n}=E_{\Xi^0\Xi^0n}-2M_{\Xi^0} -M_n=4.6\pm 5.0\pm 7.9\pm 4.2 MeV. There are a significant number of time-slices in the three-baryon correlation function for which the signal-to-noise ratio is only slowly degrading with time. This is in contrast to the exponential degradation of the signal-to-noise ratio that is observed at larger times, and is due to the suppressed overlap of the source and sink interpolating-operators that are associated with the variance of the three-baryon correlation function onto the lightest eigenstates in the lattice volume (mesonic systems). As one of the motivations for this area of exploration is the calculation of the structure and reactions of light nuclei, we also present initial results for a system with the quantum numbers of the triton (pnn). This present work establishes a path to multi-baryon systems, and shows that Lattice QCD calculations of the properties and interactions of systems containing four and five baryons are now within sight.},
doi = {10.1103/PhysRevD.80.074501},
url = {https://www.osti.gov/biblio/977154}, journal = {Physical Review D},
issn = {1550-7998},
number = 7,
volume = 80,
place = {United States},
year = {Thu Oct 01 00:00:00 EDT 2009},
month = {Thu Oct 01 00:00:00 EDT 2009}
}