Δ E and Mbc in 2-body production
Label particles with masses M1 and M2.
p ≡ |p1|2 = |p2|2
ECM ≡ 2 * Ebeam.
Δ E ≡ E1 - Ebeam.
Mbc2 ≡ Ebeam2 -
p2.
Δ E = (M12 - M22) /
(2 * ECM).
Mbc2 = ½ (M12 +
M22) - (Δ E)2.
p2 = (½ECM)2 - ½
(M12
+ M22) + (Δ E)2.
For the scan:
MD ≈ 1869 MeV
MD* ≈ 2010 MeV
MDs ≈ 1969 MeV
MDs* ≈ 2112 MeV
ECM ≈ 3970, 3990, 4010, 4015, 4030, 4060, 4120, 4140,
4160, 4170, 4180, 4200, 4260 MeV
ΔE, Mbc, and p at scan energies
| CM Energy | DD |
DD* | D*D* |
DsDs |
DsDs* |
| ΔE | Mbc | p |
ΔE | Mbc | p |
ΔE | Mbc | p |
ΔE | Mbc | p |
ΔE | Mbc | p |
| 3970 | 0 | 1869.4 | 667.5 | 68.69 | 1939.75 | 421.38 | N/A | N/A | N/A | 0 | 1968.3 | 256.94 | N/A | N/A | N/A |
| 3990 | 0 | 1869.4 | 696.68 | 68.35 | 1939.76 | 466.17 | N/A | N/A | N/A | 0 | 1968.3 | 325.3 | N/A | N/A | N/A |
| 4010 | 0 | 1869.4 | 724.82 | 68.01 | 1939.78 | 507.22 | N/A | N/A | N/A | 0 | 1968.3 | 381.86 | N/A | N/A | N/A |
| 4015 | 0 | 1869.4 | 731.71 | 67.92 | 1939.78 | 517 | N/A | N/A | N/A | 0 | 1968.3 | 394.78 | N/A | N/A | N/A |
| 4030 | 0 | 1869.4 | 752.04 | 67.67 | 1939.79 | 545.36 | 0 | 2010 | 141.86 | 0 | 1968.3 | 431.3 | N/A | N/A | N/A |
| 4060 | 0 | 1869.4 | 791.35 | 67.17 | 1939.81 | 598.35 | 0 | 2010 | 284.25 | 0 | 1968.3 | 496.68 | N/A | N/A | N/A |
| 4120 | 0 | 1869.4 | 865.41 | 66.19 | 1939.84 | 693.25 | 0 | 2010 | 451.1 | 0 | 1968.3 | 607.77 | 71.2 | 2040.22 | 284.75 |
| 4140 | 0 | 1869.4 | 888.95 | 65.87 | 1939.85 | 722.39 | 0 | 2010 | 494.77 | 0 | 1968.3 | 640.85 | 70.86 | 2040.23 | 349.76 |
| 4160 | 0 | 1869.4 | 911.99 | 65.55 | 1939.86 | 750.54 | 0 | 2010 | 535.07 | 0 | 1968.3 | 672.45 | 70.52 | 2040.24 | 404.7 |
| 4170 | 0 | 1869.4 | 923.34 | 65.4 | 1939.87 | 764.28 | 0 | 2010 | 554.18 | 0 | 1968.3 | 687.76 | 70.35 | 2040.25 | 429.63 |
| 4180 | 0 | 1869.4 | 934.58 | 65.24 | 1939.87 | 777.8 | 0 | 2010 | 572.71 | 0 | 1968.3 | 702.77 | 70.18 | 2040.25 | 453.25 |
| 4200 | 0 | 1869.4 | 956.73 | 64.93 | 1939.88 | 804.26 | 0 | 2010 | 608.19 | 0 | 1968.3 | 731.98 | 69.85 | 2040.27 | 497.28 |
| 4260 | 0 | 1869.4 | 1020.9 | 64.01 | 1939.91 | 879.55 | 0 | 2010 | 704.84 | 0 | 1968.3 | 814.06 | 68.86 | 2040.3 | 611.6 |
Mbc, and p for daughter particles (center value)
| CM Energy |
DD* | D*D* |
DsDs* |
| Mbccenter,2 | pcenter,2 |
Mbccenter,2 | pcenter,2 |
Mbccenter,2 | pcenter,2 |
| 3970 | 1940.98 | 415.7 | N/A | N/A | N/A | N/A |
| 3990 | 1942.33 | 455.38 | N/A | N/A | N/A | N/A |
| 4010 | 1943.68 | 492.05 | N/A | N/A | N/A | N/A |
| 4015 | 1944.02 | 500.83 | N/A | N/A | N/A | N/A |
| 4030 | 1945.04 | 526.34 | 2006.06 | 189.49 | N/A | N/A |
| 4060 | 1947.09 | 574.22 | 2008.04 | 297.77 | N/A | N/A |
| 4120 | 1951.22 | 660.54 | 2012.02 | 441.99 | 2038.02 | 300.1 |
| 4140 | 1952.61 | 687.16 | 2013.36 | 480.91 | 2039.32 | 355.06 |
| 4160 | 1954.01 | 712.91 | 2014.7 | 517.07 | 2040.62 | 402.79 |
| 4170 | 1954.7 | 725.48 | 2015.37 | 534.29 | 2041.27 | 424.73 |
| 4180 | 1955.41 | 737.88 | 2016.05 | 551.01 | 2041.93 | 445.64 |
| 4200 | 1956.81 | 762.14 | 2017.41 | 583.14 | 2043.24 | 484.9 |
| 4260 | 1961.06 | 831.33 | 2021.5 | 671.11 | 2047.22 | 588.02 |