
FOCUS double charm baryon search
Summary
An extensive search for fully reconstructed doubly-charmed baryon candidates using
FOCUS data was conducted in 2000.
Using reconstructed D0, D+, and Lambda_c particles, a search for 21 decay modes of two
possible doubly-charmed baryons (ccu and ccd) yielded no evidence for such states.
All of the slides shown here can also be obtained
in several other formats .
Analysis technique
- A single charm candidate (D0, D+, or Λc) is found by reconstructing
K−π+, K−π+π+,
K−π+π−π+, or
pK−pi+
- A double charm candidate (Ξcc+ or Ξcc++) is found by combining the
reconstructed single charm momentum vector with other tracks/objects
- The double charm candidate momentum vector is used to seed the primary vertex.
A cartoon of an event is shown below (secondary vertices are labeled in the order found, opposite
to the order produced):
- Initial cuts required a confidence level better than 1% for all three vertices,
all three (between primary & double charm, primary & single charm, double charm & single charm)
L/sigma (separation/separation error) greater than 0, and Cerenkov cuts on kaons and protons.
Cut selection
Cuts were chosen by maximizing S/sqrt(B) where S is determined from Monte Carlo
simulated events and B is taken from the data over the mass range 3.4 to 4.1 GeV.
The double charm baryon states were assumed to have a mass of 3.6 GeV and a lifetime
of 1.0 ps (Ξcc++) and 0.2 ps (Ξcc+). Since Pythia does not create these states by
default, the single charm Cascade_c (csd or csu) with a mass of 3.6 GeV was used to
produce the particles.
Final (optimized) cuts
Cuts are listed in approximate order of importance. The cut ranges over all decay modes are shown;
the actual cut depends on decay mode.
- L/sigma(btw primary & single charm) > 8 − 15
- L/sigma(btw primary & double charm) > 1 − 5
- L/sigma(btw double charm & single charm) > 0 − 3
- no sec1 tracks in primary isolation < 1 − 0.0001
- no non-primary tracks in sec1 isolation < 1 − 0.0001
- kaon hypothesis favored over pion (kaons) > 0 − 3
- proton hypothesis favored over pion (protons) > 2 − 5
- proton hypothesis favored over kaon (protons) > −0.01 − 2
- Kshort or Lambda0 normalized mass < 2.5 − 3.0
- summed transverse momentum of daughter tracks wrt candidate momentum vector > 0 − 0.5
- error on separation btw primary and single charm < 0.25 − 0.10 cm
- lifetime of single charm < 8 − 1~ps
- | normalized D/Λc mass | < 3 sigma
- confidence level of sec1 vertex > 2 − 5\%
- confidence level of sec2 vertex > 2 − 5\%
- piconsistency > -8 − -5
- primary vertex < 2 sigma out of target
Examples of Λc and D meson yields from FOCUS:
The mass plots below are an example of the statistics of singly charmed particles available at
FOCUS. The first plot shows a Λc → pK−pi+ signal
(19,444 events) while the second plot is a combined plot of D0 → K−π+,
K−π+π−π+ and
D+ → K−π+π+ (over 1 million reconstructed charm mesons).
Double charm baryon results
Below is a plot of all double charm baryon candidates which were searched for (shown separately):
Below is a plot of all double charm baryon candidates which were searched for (combined):
Below are plots of all double charm baryon candidates which were searched for as well as just the two decay modes searched for
by SELEX, with the SELEX signal areas shaded.
Since the plots are nearly background free and the SELEX ground state signal areas contain zero events we can obtain a
Rolke-Lopez 90% upper limit of 2.21 events. The efficiency relative to the 19,444 reconstructed Λc events is
about 5% for Ξcc+ → Λc K pi and 13% for Ξcc++ → Λc K pi pi. Therefore, at 90% CL no more than
2.21/0.05/19,444 = 0.23% of the FOCUS Λc candidates come from Ξcc+ and no more than
2.21/0.13/19,444 = 0.09% of the FOCUS Λc candidates come from Ξcc++. By contrast, SELEX finds 15.8/0.10/1650 = 9.6% of their
Λc baryons come from Ξcc+ → Λc K pi and 8/0.05/1650 = 9.7% of their Λc baryons come from Ξcc++ → Λc K pi pi.
This implies a production difference between double charm baryons and
Λc baryons of greater than a factor of 42 (Ξcc+) to 111 (Ξcc++) between SELEX and FOCUS. For FOCUS, the efficiency numbers are obtained
for a double charm baryon produced as described in Cut Selection.
The above information is summarized in the following slide (click for postscript):
Estimating double charm yield from "first" principles
- In photoproduction, charm is about 1/100 of hadronic cross section so assume double charm is 1/100 of charm
- Assume a factor of 10% for overlapping wave functions (between two charm quarks to form a baryon)
- Normalize total produced charm to FOCUS Monte Carlo (using D meson states)
- Use double charm branching ratios from Bjorken (plus guesses for ones not considered)
- Include efficiencies from MC include acceptance, reconstruction efficiency (of entire decay chain),
and cut efficiency.
The table below indicates the expected yield of doubly-charmed baryons given the assumptions
above. A postscript file of the table below is also available.
| Parent | Decay mode |
BR(D or /\c) | BR(ccu) | Expected Signal |
| (ccu) | D0(Kπ) Λ0 π+ π+ | 3.83% | 3.2% | 1.0 |
| (ccu) | D0(K3π) Λ0 π+ π+ | 7.5% | 3.2% | 0.5 |
| (ccu) | D0(Kπ) KS0 p π+ | 3.83% | 0.69% | 0.2 |
| (ccu) | D0(K3π) KS0 p π+ | 7.5% | 0.69% | 0.1 |
| (ccu) | D+ K− π+ p | 9.0% | 1.0% | 0.2 |
| (ccu) | D+ Λ0 π+ | 9.0% | 1.92% | 0.8 |
| (ccu) | D+ Λ0 π+ π− π+ | 9.0% | 0.32% | 0.1 |
| (ccu) | D+ KS0 p | 9.0% | 1.03% | 0.5 |
| (ccu) | Λc+ K− π+ π+ | 5.0% | 5.0% | 1.0 |
| (ccu) | Λc+ KS0 π+ | 5.0% | 1.72% | 0.4 |
| (ccu) | Λc+ KS0 π+ π− π+ | 5.0% | 1.72% | 0.2 |
| Total(ccu) | | | | 5.0 |
| Parent | Decay mode |
BR(D or /\c) | BR(ccd) | Expected Signal |
| (ccd) | D0(Kπ) K− p π+ | 3.83% | 1.0% | 0.1 |
| (ccd) | D0(K3π) K− p π+ | 7.5% | 1.0% | 0.1 |
| (ccd) | D0(Kπ) Λ0 π+ | 3.83% | 4.47% | 0.5 |
| (ccd) | D0(K3π) Λ0 π+ | 7.5% | 4.47% | 0.4 |
| (ccd) | D0(Kπ) Λ0 π+ π− π+ | 3.83% | 0.32% | 0.0 |
| (ccd) | D0(K3π) Λ0 π+ π− π+ | 7.5% | 0.32% | 0.0 |
| (ccd) | D0(Kπ) KS0 p | 3.83% | 1.03% | 0.1 |
| (ccd) | D0(K3π) KS0 p | 7.5% | 1.03% | 0.1 |
| (ccd) | D+ K− p | 9.0% | 1.0% | 0.5 |
| (ccd) | D+ Λ0 | 9.0% | 1.6% | 0.4 |
| (ccd) | D+ Λ0 π+ π− | 9.0% | 0.96% | 0.2 |
| (ccd) | D+ KS0 p π− | 9.0% | 0.69% | 0.1 |
| (ccd) | Λc+ K− π+ | 5.0% | 3.0% | 0.3 |
| (ccd) | Λc+ K− π+ π− π+ | 5.0% | 0.1% | 0.0 |
| (ccd) | Λc+ KS0 | 5.0% | 0.69% | 0.1 |
| (ccd) | Λc+ KS0 π− π+ | 5.0% | 0.69% | 0.0 |
| Total(ccd) | | | | 2.8 |