Particle Properties
=====================

The particle properties input file is **optional**. Provide the path using the **particle_properties_input_file** if you are not using the Calculation Engine, and enable the **output_particle_properties** option in the config file to generate its output.

Since this file does not have requirements, the output will have the same columns as the input file, plus the lepton densities, chemical potentials, and masses appended at the end as:

+-------------------------------------------------+---------------+
| **Variable**                                    | **Unit**      |
+=================================================+===============+
| Electron chemical potential (:math:`\mu_e`)     | MeV           |
+-------------------------------------------------+---------------+
| Neutrino chemical potential (:math:`\mu_{\nu}`) | MeV           |
+-------------------------------------------------+---------------+
| Electron density (:math:`n_e`)                  | fm\ :sup:`-3` |
+-------------------------------------------------+---------------+
| Muon density (:math:`n_{\mu}`)                  | fm\ :sup:`-3` |
+-------------------------------------------------+---------------+
| Tau density (:math:`n_{\tau}`)                  | fm\ :sup:`-3` |
+-------------------------------------------------+---------------+
| Neutrino density (:math:`n_{\nu}`)              | fm\ :sup:`-3` |
+-------------------------------------------------+---------------+
| Electron mass (:math:`m_e`)                     | MeV           |
+-------------------------------------------------+---------------+
| Muon mass (:math:`m_{\mu}`)                     | MeV           |
+-------------------------------------------------+---------------+
| Tau mass (:math:`m_{\tau}`)                     | MeV           |
+-------------------------------------------------+---------------+
| Neutrino mass (:math:`m_{\nu}`)                 | MeV           |
+-------------------------------------------------+---------------+

 
One can generate the `charge_neutrality_particle_properties.csv` or the `beta_equilibrium_particle_properties.csv` file by enabling the **output_particle_properties** option in the config file
in addition to the **use_charge_neutrality** or **use_beta_equilibrium** options, respectively.
In the beta-equilibrated case, the input file will be interpolated to give the value of the quantities at the beta-equilibrated point.


For the purely Leptonic EoS, the associated particle properties follows:

+------------------------------------------------------------+------------------+
| **Variable**                                               | **Unit**         |
+============================================================+==================+
| Temperature (T)                                             | MeV              |
+------------------------------------------------------------+------------------+
| Lepton chemical potential (:math:`\mu_\text{leptons}`)      | MeV              |
+------------------------------------------------------------+------------------+
| Neutrino chemical potential (:math:`\mu_\text{neutrino}`)   | MeV              |
+------------------------------------------------------------+------------------+
| Electron mass (:math:`m_e`)                                 | MeV              |
+------------------------------------------------------------+------------------+
| Muon mass (:math:`m_\mu`)                                   | MeV              |
+------------------------------------------------------------+------------------+
| Tau mass (:math:`m_\tau`)                                   | MeV              |
+------------------------------------------------------------+------------------+
| Electron neutrino mass (:math:`m_{\nu_e}`)                  | MeV              |
+------------------------------------------------------------+------------------+
| Muon neutrino mass (:math:`m_{\nu_\mu}`)                    | MeV              |
+------------------------------------------------------------+------------------+
| Tau neutrino mass (:math:`m_{\nu_\tau}`)                    | MeV              |
+------------------------------------------------------------+------------------+
| Electron chemical potential (:math:`\mu_e`)                 | MeV              |
+------------------------------------------------------------+------------------+
| Muon chemical potential (:math:`\mu_\mu`)                   | MeV              |
+------------------------------------------------------------+------------------+
| Tau chemical potential (:math:`\mu_\tau`)                   | MeV              |
+------------------------------------------------------------+------------------+
| Electron neutrino chemical potential (:math:`\mu_{\nu_e}`)  | MeV              |
+------------------------------------------------------------+------------------+
| Muon neutrino chemical potential (:math:`\mu_{\nu_\mu}`)    | MeV              |
+------------------------------------------------------------+------------------+
| Tau neutrino chemical potential (:math:`\mu_{\nu_\tau}`)    | MeV              |
+------------------------------------------------------------+------------------+
| Electron density (:math:`n_e`)                              | fm\ :sup:`-3`    |
+------------------------------------------------------------+------------------+
| Muon density (:math:`n_\mu`)                                | fm\ :sup:`-3`    |
+------------------------------------------------------------+------------------+
| Tau density (:math:`n_\tau`)                                | fm\ :sup:`-3`    |
+------------------------------------------------------------+------------------+
| Electron neutrino density (:math:`n_{\nu_e}`)               | fm\ :sup:`-3`    |
+------------------------------------------------------------+------------------+
| Muon neutrino density (:math:`n_{\nu_\mu}`)                 | fm\ :sup:`-3`    |
+------------------------------------------------------------+------------------+
| Tau neutrino density (:math:`n_{\nu_\tau}`)                 | fm\ :sup:`-3`    |
+------------------------------------------------------------+------------------+