Demonstrations of 3Dimensional Elastic WIMPNucleus Scattering
for (Directional) Direct Dark Matter Detection Experiments and Phenomenology
ChungLin Shan
Established: March 11, 2021
Last upgraded: March 11, 2022
Appendix
Definitions of the coordinate systems

The (black) Galactic,
the (red) Ecliptic,
and the (blue) Equatorial coordinate systems
Plot credit:
C.L. Shan,
arXiv:1905.11279 [astroph.HE]

The (red) Ecliptic,
the (blue) Equatorial,
and the (lightgreen) Earth coordinate systems
Plot credit:
C.L. Shan,
arXiv:1905.11279 [astroph.HE]

The (lightgreen) Earth,
the (darkgreen) horizontal (left),
and the (darkgreen) laboratory (right) coordinate systems
Plot credit:
C.L. Shan,
arXiv:1905.11279 [astroph.HE]

The (darkgreen) laboratory
and the (lightgreen) incomingWIMP coordinate systems
Plot credit:
C.L. Shan,
arXiv:2103.06485 [hepph]

The orientation of the scattering plane φ_{NR, χin}
and the (equivalent) scattering angle θ_{NR, χin}
Plot credit:
C.L. Shan,
arXiv:2103.06485 [hepph]
Definitions of the observation periods
References
3dimensional WIMP velocity distribution
 C.L. Shan,
"Simulations of the 3Dimensional Velocity Distribution of Halo Weakly Interacting Massive Particles for Directional Dark Matter Detection Experiments",
arXiv:1905.11279 [astroph.HE]
(abstract,
pdf),
May 27, 2019.
 C.L. Shan,
"Annual and Diurnal Modulations of the Angular Distribution of the 3D WIMP Velocity Observed at an Underground Laboratory",
proceedings of the 16th International Conference on Topics in Astroparticle and Underground Physics (TAUP 2019),
J. Phys.: Conf. Ser. 1468, 012017 (2020)
(abstract,
pdf);
arXiv:1910.11763 [astroph.HE]
(abstract,
pdf),
October 25, 2019.
Angular WIMP kineticenergy distribution
 C.L. Shan,
"Simulations of the Angular KineticEnergy Distribution of Halo Weakly Interacting Massive Particles for Directional Dark Matter Detection Experiments"
(abstract,
pdf),
March 11, 2020.
 C.L. Shan,
"Dependence of the WIMP Angular KineticEnergy Distribution on the Solar Galactic Orbital Velocity",
arXiv:2011.06948 [astroph.HE]
(abstract,
pdf),
November 13, 2020.
Angular recoilflux/energy distributions of the WIMPscattered target nuclei
 C.L. Shan,
"Monte Carlo ScatteringbyScattering Simulation of 3Dimensional Elastic WIMPNucleus Scattering Events",
arXiv:2103.06485 [hepph]
(abstract,
pdf),
March 11, 2021.
 C.L. Shan,
"Simulations of the Angular RecoilEnergy Distribution of WIMPScattered Target Nuclei for Directional Dark Matter Detection Experiments",
arXiv:2103.06486 [hepph]
(abstract,
pdf),
March 11, 2021.
 C.L. Shan,
"Annual Modulations of the Angular RecoilFlux/Energy Distributions of WIMPScattered Target Nuclei Observed at an Underground Laboratory",
proceedings of the 17th International Conference on Topics in Astroparticle and Underground Physics (TAUP 2021),
J. Phys.: Conf. Ser. 2156, 012173 (2022)
(abstract,
pdf);
arXiv:2110.05027 [hepph]
(abstract,
pdf),
October 11, 2021.
 C.L. Shan,
"Incident VelocityRecoil Angle Distribution and Angular RecoilEnergy Spectrum of 3Dimensional WIMPNucleus Scattering Events",
arXiv:2203.05805 [hepph]
(abstract,
pdf),
March 11, 2022.
3dimensional WIMP effective velocity distribution
 C.L. Shan,
"3Dimensional Effective Velocity Distribution of Halo Weakly Interacting Massive Particles Scattering off Nuclei in Direct Dark Matter Detectors",
arXiv:2103.06883 [astroph.HE]
(abstract,
pdf),
March 11, 2021.
Determinations of WIMP properties
 C.L. Shan,
"A Possibility of Determining the WIMP Mass by Using the Angular RecoilEnergy Spectra from Directional Direct Dark Matter Detection Experiments",
arXiv:2208.05193 [hepph]
(abstract,
pdf),
August 10, 2022.
More information
 C.L. Shan,
"Script Handbook for Interactive Scientific Website Building, Version 1.73205",
arXiv:1008.1143 [physics.insdet]
(abstract,
pdf);
online templates.