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