Constants#

Physical and mathematical constants and related functions used throughout the package. Most masses and widths are taken by the Review of Particle Physics by the Particle Data Group [14]. The base unit is taken to be GeV.

dispersionrelations.constants.MeV = 0.001#

Megaelectronvolt, numerically defined as \(10^{-3}\) as a default (so that GeV \(=1\)).

dispersionrelations.constants.eV = 1e-09#

Electronvolt, numerically defined as \(10^{-6}\times\) MeV.

dispersionrelations.constants.keV = 1e-06#

Kiloelectronvolt, numerically defined as \(10^{-3}\times\) MeV.

dispersionrelations.constants.GeV = 1.0#

Gigaelectronvolt, numerically defined as \(10^{3}\times\) MeV.

dispersionrelations.constants.TeV = 1000000.0#

Teraelectronvolt, numerically defined as \(10^{6}\times\) MeV.

dispersionrelations.constants.E_almost_zero = 1e-05#

A small energy, used in order to avoid division by zero.

dispersionrelations.constants.alpha_fs = 0.0072973525205055605#

Electromagnetic fine structure constant \(\alpha_{\text{fs}}\approx1/137\).

dispersionrelations.constants.e2 = 0.09170123627630092#

Electric charge squared, \(e^2 = 4\pi\alpha_{\text{fs}}\).

dispersionrelations.constants.to_nb = 389379.2904730569#

Conversion factor from natural units to nanobarns.

Note: a “natural unit” is defined by whatever is equal to 1 by default. If \(\text{GeV}=1\), then the constant to_nb will convert \({\text{GeV}}^{-2}\) to nanobarns.

dispersionrelations.constants.degrees = 0.017453292519943295#

Conversion factor from radians to degrees \(=\pi/180\).


dispersionrelations.constants.M_PI = 0.13957#

Mass of the charged pion [14].

dispersionrelations.constants.M_PI0 = 0.13498#

Mass of the neutral pion [14].

dispersionrelations.constants.M_K = 0.49367700000000003#

Mass of the charged kaon [14].

dispersionrelations.constants.M_K0 = 0.497611#

Mass of the neutral kaon [14].

dispersionrelations.constants.M_RHO = 0.7625000000000001#

Mass of the \(\rho\) meson, obtained from the pole position [7].

dispersionrelations.constants.M_RHO_STD = 0.0017#

Standard deviation of the \(\rho\) meson mass, obtained from the pole position [7].

dispersionrelations.constants.G_RHO = 0.1464#

Width of the \(\rho\) meson, obtained from the pole position [7].

dispersionrelations.constants.G_RHO_STD = 0.0022#

Standard deviation of the \(\rho\) meson width, obtained from the pole position [7].

dispersionrelations.constants.M_RHO_BW = 0.7752600000000001#

Mass of the \(\rho\) meson, obtained as a Breit–Wigner parameter [14].

dispersionrelations.constants.M_RHO_BW_STD = 0.00023#

Standard deviation of the \(\rho\) meson mass, obtained as a Breit–Wigner parameter [14].

dispersionrelations.constants.G_RHO_BW = 0.1474#

Width of the \(\rho\) meson, obtained as a Breit–Wigner parameter [14].

dispersionrelations.constants.G_RHO_BW_STD = 0.0008#

Standard deviation of the \(\rho\) meson width, obtained as a Breit–Wigner parameter [14].

dispersionrelations.constants.M_OMEGA = 0.78266#

Mass of the \(\omega\) meson [14].

dispersionrelations.constants.M_OMEGA_STD = 0.00013000000000000002#

Standard deviation of the \(\omega\) meson mass [14].

dispersionrelations.constants.G_OMEGA = 0.00868#

Width of the \(\omega\) meson [14].

dispersionrelations.constants.G_OMEGA_STD = 0.00013000000000000002#

Standard deviation of the \(\omega\) meson width [14].

dispersionrelations.constants.M_PHI = 1.019461#

Mass of the \(\phi\) meson [14].

dispersionrelations.constants.M_PHI_STD = 1.6e-05#

Standard deviation of the \(\phi\) meson mass [14].

dispersionrelations.constants.G_PHI = 0.00425#

Width of the \(\phi\) meson [14].

dispersionrelations.constants.G_PHI_STD = 1.3e-05#

Standard deviation of the \(\phi\) meson width [14].

dispersionrelations.constants.M_ETA = 0.547862#

Mass of the \(\eta\) meson [14].

dispersionrelations.constants.M_ETA_STD = 1.7000000000000003e-05#

Standard deviation of the \(\eta\) meson mass [14].

dispersionrelations.constants.G_ETA = 1.31e-06#

Width of the \(\eta\) meson [14].

dispersionrelations.constants.G_ETA_STD = 5e-08#

Standard deviation of the \(\eta\) meson width [14].

dispersionrelations.constants.M_KSTAR = 0.89#

Mass of the \(K^*\) [14].

dispersionrelations.constants.M_KSTAR_STD = 0.014#

Standard deviation of the \(K^*\) mass [14].

dispersionrelations.constants.G_KSTAR = 0.052000000000000005#

Width of the \(K^*\) [14].

dispersionrelations.constants.G_KSTAR_STD = 0.012#

Standard deviation of the \(K^*\) width [14].

dispersionrelations.constants.M_A1_POLE = 1.209#

Mass of the \(a_1\), obtained from the pole position [11].

dispersionrelations.constants.M_A1_POLE_STD = 0.016#

Standard deviation of the \(a_1\) mass, obtained from the pole position [11].

dispersionrelations.constants.G_A1_POLE = 0.5760000000000001#

Width of the \(a_1\), obtained from the pole position [11].

dispersionrelations.constants.G_A1_POLE_STD = 0.1#

Standard deviation of the \(a_1\) width, obtained from the pole position [11].

dispersionrelations.constants.BR_OMEGA_TO_3PI = 0.892#

Branching ratio of \(\omega \to 3\pi\) decay [14].

dispersionrelations.constants.BR_OMEGA_TO_3PI_STD = 0.006999999999999999#

Standard deviation of the branching ratio of \(\omega \to 3\pi\) decay [14].

dispersionrelations.constants.G_OMEGA_TO_3PI = 0.00774256#

Partial width of \(\omega \to 3\pi\) decay.

dispersionrelations.constants.G_OMEGA_TO_3PI_STD = 0.00013091409091461472#

Standard deviation of the partial width of \(\omega \to 3\pi\) decay.

dispersionrelations.constants.BR_OMEGA_TO_PI0GAMMA = 0.0833#

Branching ratio of \(\omega \to \pi^0 \gamma\) decay [14].

dispersionrelations.constants.BR_OMEGA_TO_PI0GAMMA_STD = 0.0025#

Standard deviation of the branching ratio of \(\omega \to \pi^0 \gamma\) decay [14].

dispersionrelations.constants.G_OMEGA_TO_PI0GAMMA = 0.000723044#

Partial width of \(\omega \to \pi^0 \gamma\) decay.

dispersionrelations.constants.G_OMEGA_TO_PI0GAMMA_STD = 2.4251953344009224e-05#

Standard deviation of the partial width of \(\omega \to \pi^0 \gamma\) decay.

dispersionrelations.constants.G_RHO_TO_ETAGAMMA = 4.4200000000000004e-05#

Partial width of \(\rho \to \eta \gamma\) decay [13].

dispersionrelations.constants.G_RHO_TO_ETAGAMMA_STD = 3.1e-06#

Standard deviation of the partial width of \(\rho \to \eta \gamma\) decay [13].

dispersionrelations.constants.BR_KSTAR_TO_KGAMMA_CHARGED = 0.00098#

Branching ratio of the charged \(K^* \to K \gamma\) decay [5].

dispersionrelations.constants.BR_KSTAR_TO_KGAMMA_CHARGED_STD = 8.999999999999999e-05#

Standard deviation of the branching ratio of the charged \(K^* \to K \gamma\) decay [5].

dispersionrelations.constants.BR_KSTAR_TO_KGAMMA_NEUTRAL = 0.00246#

Branching ratio of the neutral \(K^* \to K \gamma\) decay [5].

dispersionrelations.constants.BR_KSTAR_TO_KGAMMA_NEUTRAL_STD = 0.00021#

Standard deviation of the branching ratio of the neutral \(K^* \to K \gamma\) decay [5].

dispersionrelations.constants.G_KSTAR_TO_KGAMMA_CHARGED = 5.096e-05#

Partial width of the charged \(K^* \to K \gamma\) decay.

dispersionrelations.constants.G_KSTAR_TO_KGAMMA_CHARGED_STD = 1.265701386583739e-05#

Standard deviation of the partial width of the charged \(K^* \to K \gamma\) decay.

dispersionrelations.constants.G_KSTAR_TO_KGAMMA_NEUTRAL = 0.00012792#

Partial width of the neutral \(K^* \to K \gamma\) decay.

dispersionrelations.constants.G_KSTAR_TO_KGAMMA_NEUTRAL_STD = 3.147501866560209e-05#

Standard deviation of the partial width of the neutral \(K^* \to K \gamma\) decay.