Houston Medium-Energy Physics Group
 
Brookhaven National Laboratory
E931 Experiment
"A Study of the 
Δ I=1/2 Rule in the Weak Decay of S-Shell Hypernuclei"


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(Site Under Construction)


 The Experiment

 B.N.L. E931  -
Study of the 
Δ I=1/2 Rule
In The Weak Decay of S-Shell Hypernuclei

Spokesmen
D. Dehnhard, E. V. Hungerford, V. Zeps

Status
Data Taking Completed At AGS Beam C8,
Analysis Underway

 

This experiment was devised to address an unresolved fundamental question of 'why' and 'when' to apply the
Δ I=1/2 rule to the weak decay of strange hadrons.  After completion of the experiment runs and data-taking phases, the calibration and analysis is underway, to determine if this apparently universal rule applies to the non-mesonic weak decay of a Λ , by studying particle emission from the weak decay of lambda hypernucleus Λ 4H. The experiment used NMS, Neutral Meson Spectrometer, and the LESBII Beam line as its two central elements.


 
 Collaboration
 


Arizona State University:  J. R. Comfort, C. Gauland
Brookhaven National Laboratory: R.  E. Chrein, R. Gill, M. May, P. H. Pile, A. Rusek, R. Sutter
Carnegie-Mellon University: G. B. Franklin, B. Quinn, J. Parker
CEBAF: L. Tang
Christopher Newport College: J. Gerald
George Washington University:W. Briscoe
Los Alamos National Laboratory: J. Amann, D. Boudrie, C. Edwards, B. F. Gibson, C. Morris,
J. O'Donnell, J-C. Peng, A. Thiessen
Louisiana Technical University: M. Barakat, K. Johnston
North Carolina A&T: R. Sawafta
R. Boskovic Institute: I. Supek
Tohoku University: O. Hashimoto
University of California at Los Angeles: B. Nefkens, W. B. Tippens
University of Colorado: G. A. Peterson
University of Houston: M. Ahmed, M. Bukhari, Y. Cui, A. Empl, E. V. Hungerford, A. Lan, Y. Li,
B. Mayes, L. Pinsky, G. Xu
University of Kentucky: V. Zeps
University of Maryland: P. G. Roos
University of Minnesota: D. Dehnhard, H. Juengst, J. Liu
University of Texas at Austin: G. Glass, C. Fred Moore, H. Ward
University of Zagreb:  D. Androic, I. Bertovic, M. Furic, T. Petkovic, M. Planinic



Proposal
 

Original  E931 Experiment Proposal (PDF)

 
P931 Proposal Update 1997



Physics
 

Basic Concepts:

Hyperons are subatomic particles of the class known as baryons. Like all baryons, they are composed of three quarks. The term hyperon is generally used for a baryon containing one or more strange (s ) quarks, as opposed (for example) to the proton and neutron, which contain only up (u) and down (d) quarks. The strange quark being unstable, hyperons decay into lighter baryons (such as protons or neutrons) plus mesons, with typical lifetimes of approximately 1/10 of a nanosecond. At high energies, these lifetimes are sufficient for a hyperon to travel several meters before decaying, since the hyperon can be moving at very nearly the speed of light and thus experience the time-dilation effect of Special Relativity. This long decay distance makes hyperon  experiments (such as the 931 experiment) feasible.

Hypernuclei are the nuclei with one or more hyperons embedded in them, such as Λ 4H (1p, 1n,1 Λ ). These can be formed in stopped or in-flight reactions. Hypernuclei are incredibly short-lived, surviving for less than a billionth of a second, and typically decay into a pair of strange mesons, such as kaons. 35 varieties of hypernuclei are already known from physics experiments, though it is expected to see completely new hypernuclei, such as a hydrogen-7-lambda (Λ 7H), comprised of one proton, five neutrons, and one exotic lambda particle, a hyperon that includes a strange quark.
 
Isospin is a quantum number, a vector quantity, and a property of particles established after Heisenberg's idea of isospin which is in simple words different projections of the same particle. For instance, proton and neutron are considered two projections of the same nucleon, hence two different isospins or isospin quantum numbers. Isospin law is one of the conservation laws in physics which originates from the symmetries in nature.

Isospin invariance follows from the fact that the strong interactions are independent of quark type, and so do not distinguish up quarks from down quarks. Furthermore, the masses of the up and down quarks are small compared to their energy in a proton or neutron, and thus protons and neutrons have close to equal masses. As far as strong interactions are concerned, protons and neutrons behave identically. Isospin is the invariance that relates strong interaction  processes or states that differ only by replacing some number of protons by an equal number of neutrons.

Following chart depicts a relationship between Hypercharge (Y) and the third component of Isospin (T3), which summarizes one of the symmetries involved between baryons:

 


The E931 Experiment:

The E931 experiment was conceived to study and resolve the fundamental question in hadronic physics that why and when to apply the ΔI=1/2 rule to the weak decay of strange hadrons. The basic underlying methodology was observing the neutron to proton stimulated (non-mesonic) decay of the lambda hypernucleus,  Λ 4H. Neutral Meson Spectormeter played a central role in the experiment by virtue of its function to tag the formation of the hypernucleus. NMS by detecting the pion from the He-Kaon-stopped reaction tags the formation of a Hydrogen hypernucleus and therefore identifies when this hypernucleus is the source of secondary particle emission from the target region. Thus the confluence of the NMS with the high kaon flux of the AGS C8  beamline provided a unique situation for this kind of hypernuclear physics studies.


The non-leptonic strangeness-changing weak decays, ΔS=1, of kaons and hyperons are enhanced when the change in isospin is by half. This observation is generalized into the ΔI=1/2 rule, which states that the non-leptonic decays of all strange hadrons proceed through Δ I=1/2 amplitudes. However there is no universal explanation for this apparently universal rule and most likely the effect is due to complicated dynamics in the decay process. In fact the rule may only be associated with pion decay, as these are the non-leptonic decay processes which have been recently studied in detail. However the rule is applied to all non-leptonic decays.

Non-mesonic hyperon decays occur because a Lambda (Λ ) embedded in a nucleus finds that its mesonic decay channel is Pauli blocked, as the nucleon recoil in its decay channel to N and pion has momentum much lower that the Fermi momentum of bound nucleons in the nucleus. This interaction, which proceeds through a four-fermion weak vertex can only be studied within hypernuclei and the high momentum transfer involved in the process probably enhances sub-nucleon degrees of freedom. In any event, the applicability of the  rule to this process is experimentally undetermined and theoretically questionable.

The operation of the NMS can be briefly summarized in short as, that  it determines the energy of the emitted pion by measuring the opening angle of the two decay photons under the conditions that they almost equally share the reaction  energy. Thus geometry rather than calorimetry determines the energy resolution to the first order.

The pion is detected by measuring the energy and position of each of the two decay photon showers in two out-of-beam crystal arrays of the Neutral Meson Spectrometer (NMS). Using the conversion points of the photons and the position of the reaction vertex, the opening angle of the two photon decay and thus the energy of the pion was determined to higher accuracy than is possible by measurement of the energies deposited in the crystal arrays.

The resolution of the opening angle measurement dictates the energy resolution of the pion detection. The opening angle in turn depends on the ATC vertex and the NMS conversion point measurements.


Instrumentation/Electronics


Principal Components:

 Following schematic illustrates an overview of the detectors and target in the experiment (PDF Format):



Detector Layout

The pictures below illustrate a realistic view of some of the components being installed during the initial setup. The NMS, target chamber and Neutron Detectors are prominent:





The  schematic diagram below illustrates an overview of the NMS Calibration setup utilizing a K+ beam and a copper target at the BNL C8 beamline. This setup has been incorporated in Houston and CMU calibration involving the run numbers 5146-5152.



As shown in the figure, the Neutral Meson Spectrometer (NMS) constitutes two detector arms (Forward and Backward), with two layers of Wire Strip Chambers and BGO's on each arm.  Each arm has sixty 10.6 x 10.6 cm Cesium Iodide (CsI) crystals (plus the CsI light-guides) connected optically to PMT's, which convert the scintillations into signals which are conveyed to the read-out electronics and archived by DAQ.



Drawings and Pictures


Technical Schematics

Engineering Drawings

Technical drawings and engineering drawings of some components of the experiment, especially NMS, shall be posted here soon.




Calibration OF NMS
 

Neutral Meson Spectrometer (NMS) calibration has been one of the main tasks in 931 analysis.


Here is a very detailed paper written by 907 collaboration on NMS calibration. This paper gives a detailed account on the NMS calibration carried out in the initial stages of the experiment E907.


The results and details of calibration carried out by the CMU can be downloaded from the Joe Parker's Webpage at CMU website.

Houston team has also been involved in the calibration of NMS and analysis of data. The results will be posted soon.

At the initial stage of analysis, we identified the bad crystals in Cesium Iodide arrays, which was really helpful in identifying and isolating the crystals which were giving systematic errors and a constant output. Plot below illustrates an inverse plot of crystals. The bad crystals, such as 1,1,1 ;1,1,6; and 2,1,6,  stand out in the histogram whereas the good crystals give an expected output.



In addition, data from individual crystals, after conditioning and appropriate clustering algorithm cuts, was written and analyzed, in an attempt to understand the behavior and performance of each crystal. For instance, here the data from channel 2 (crystal number 1,1,2) is plotted in a histogram (binned in a number of 512 bins).



At this stage, we at Houston are concerned with the energy reconstruction of the detected pion by means of the In-target stopped Kaon decay process via the hadronic channel (B.R. 21.13%), by utilizing the k+ runs and the calibration of CsI crystals and PMT's in the NMS. The aim of this reconstruction is to achieve an energy resolution better than a factor of 5%. By measuring the energy deposited by this pair in CsI crystals (and later adding the energy deposited in BGO's), we can estimate the energy deposition in NMS and reconstruct the energy of original pion.



Analysis & Software

 

Software for analysis, mainly IDA (Interactive Data Analyzer), can be downloaded from the Greg Franklin's IDA & IDA DAQ pages at the CMU website . The site contains helpful details on this package, installation, usage and the SYNOP database.


931 K+ Calibration Data:

 931 K+ Data files can be downloaded here. This is a selection of comparatively more reliable calibration runs:


 
Current Updates


Analysis updates by CMU can be downloaded from the Joe Parker's Webpage here.
 

Analysis updates by UHMEP group can be downloaded here (password protected).

 



Links
 
Brookhaven National Laboratory

Ed Hungerford's Webpages at Houston MEP

Carnegie Mellon University Physics

Joe Parker's 931 Webpage at CMU

Henry Juengst's "HyperHall" Webpages at JLab

Zeps' University of Kentucky E931 Update Webpage

Riedel's University of Montana 931 Web Update

Jefferson National Laboratory


 
Contacts
 

Prof. Ed. V. Hungerford III (Principal Investigator)

Masroor Bukhari, Research Assistant (PhD III)
 


Houston MEP Group Picture

 
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