Exploring Hyperons and Hypernuclei with Lattice QCD
Abstract
In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information regarding the structure and weak decays of light nuclei containing one or two Lambda's, and Sigma's. From a theoretical standpoint, little is known about the hyperonnucleon interaction, which is required input for systematic calculations of hypernuclear structure. Furthermore, the longstanding discrepancies in the Pwave amplitudes for nonleptonic hyperon decays remain to be understood, and their resolution is central to a better understanding of the weak decays of hypernuclei. We present a framework that utilizes Luscher's finitevolume techniques in lattice QCD to extract the scattering length and effective range for LambdaN scattering in both QCD and partiallyquenched QCD. The effective theory describing the nonleptonic decays of hyperons using isospin symmetry alone, appropriate for lattice calculations, is constructed.
 Authors:
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
 Sponsoring Org.:
 USDOE; USDOE Office of Energy Research (ER) (US)
 OSTI Identifier:
 836836
 Report Number(s):
 JLABTHY03229; DOE/ER/401503135; nuclth/0311027
Journal ID: ISSN 03759474; NUPABL; TRN: US0500809
 DOE Contract Number:
 AC0584ER40150
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Nuclear Physics, A; Journal Volume: 747; Other Information: PBD: 1 Jan 2005
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; HYPERNUCLEI; HYPERONS; ISOSPIN; LIGHT NUCLEI; PHYSICS; QUANTUM CHROMODYNAMICS; RESOLUTION; SCATTERING; SCATTERING LENGTHS; SYMMETRY; WEAK HADRONIC DECAY; WEAK INTERACTIONS
Citation Formats
S.R. Beane, P.F. Bedaque, A. Parreno, and M.J. Savage. Exploring Hyperons and Hypernuclei with Lattice QCD. United States: N. p., 2005.
Web.
S.R. Beane, P.F. Bedaque, A. Parreno, & M.J. Savage. Exploring Hyperons and Hypernuclei with Lattice QCD. United States.
S.R. Beane, P.F. Bedaque, A. Parreno, and M.J. Savage. 2005.
"Exploring Hyperons and Hypernuclei with Lattice QCD". United States.
doi:. https://www.osti.gov/servlets/purl/836836.
@article{osti_836836,
title = {Exploring Hyperons and Hypernuclei with Lattice QCD},
author = {S.R. Beane and P.F. Bedaque and A. Parreno and M.J. Savage},
abstractNote = {In this work we outline a program for lattice QCD that would provide a first step toward understanding the strong and weak interactions of strange baryons. The study of hypernuclear physics has provided a significant amount of information regarding the structure and weak decays of light nuclei containing one or two Lambda's, and Sigma's. From a theoretical standpoint, little is known about the hyperonnucleon interaction, which is required input for systematic calculations of hypernuclear structure. Furthermore, the longstanding discrepancies in the Pwave amplitudes for nonleptonic hyperon decays remain to be understood, and their resolution is central to a better understanding of the weak decays of hypernuclei. We present a framework that utilizes Luscher's finitevolume techniques in lattice QCD to extract the scattering length and effective range for LambdaN scattering in both QCD and partiallyquenched QCD. The effective theory describing the nonleptonic decays of hyperons using isospin symmetry alone, appropriate for lattice calculations, is constructed.},
doi = {},
journal = {Nuclear Physics, A},
number = ,
volume = 747,
place = {United States},
year = 2005,
month = 1
}

In this work we outline a program for lattice QCD that wouldprovide a first step toward understanding the strong and weakinteractions of strange baryons. The study of hypernuclear physics hasprovided a significant amount of information regarding the structure andweak decays of light nuclei containing one or two Lambda's, and Sigma's.From a theoretical standpoint, little is known about the hyperonnucleoninteraction, which is required input for systematic calculations ofhypernuclear structure. Furthermore, the longstanding discrepancies inthe Pwave amplitudes for nonleptonic hyperon decays remain to beunderstood, and their resolution is central to a better understanding ofthe weak decays of hypernuclei. We present a frameworkmore »

BINDING ENERGY OF $lambda$$sup 0$ HYPERONS IN HEAVY HYPERNUCLEI (60 < A < 100)
The shortrange hyperfragments from 800 Mev/c K/sup / interactions have been shown to possess mass values in the range A = 60 to 100, and an upper limit of 35 Mev has been placed on the value of their B/sub LAMBDA /. Details are tabulated for five pi mesic decays attributed to hyperfragments of the same order of mass resulting from 0.8 and 1.5 Bev/c k/sup / interactions in emulsion. From these events, a more precise estimate of the upper limit of B/sub LAMBDA / is set at 25 Mev. (H.D.R.)