Available Resonances ModelΒΆ
"default", "BWR"
(Particle
)\[R(m) = \frac{1}{m_0^2 - m^2 - i m_0 \Gamma(m)}\]"BWR2"
(ParticleBWR2
)\[R(m) = \frac{1}{m_0^2 - m^2 - i m_0 \Gamma(m)}\]"BWR_normal"
(ParticleBWR_normal
)\[R(m) = \frac{\sqrt{m_0 \Gamma(m)}}{m_0^2 - m^2 - i m_0 \Gamma(m)}\]"GS_rho"
(ParticleGS
)Gounaris G.J., Sakurai J.J., Phys. Rev. Lett., 21 (1968), pp. 244-247
c_daug2Mass
: mass for daughter particle 2 (\(\pi^{+}\)) 0.13957039c_daug3Mass
: mass for daughter particle 3 (\(\pi^{0}\)) 0.1349768\[R(m) = \frac{1 + D \Gamma_0 / m_0}{(m_0^2 -m^2) + f(m) - i m_0 \Gamma(m)}\]\[f(m) = \Gamma_0 \frac{m_0 ^2 }{q_0^3} \left[q^2 [h(m)-h(m_0)] + (m_0^2 - m^2) q_0^2 \frac{d h}{d m}|_{m0} \right]\]\[h(m) = \frac{2}{\pi} \frac{q}{m} \ln \left(\frac{m+q}{2m_{\pi}} \right)\]\[\frac{d h}{d m}|_{m0} = h(m_0) [(8q_0^2)^{-1} - (2m_0^2)^{-1}] + (2\pi m_0^2)^{-1}\]\[D = \frac{f(0)}{\Gamma_0 m_0} = \frac{3}{\pi}\frac{m_\pi^2}{q_0^2} \ln \left(\frac{m_0 + 2q_0}{2 m_\pi }\right) + \frac{m_0}{2\pi q_0} - \frac{m_\pi^2 m_0}{\pi q_0^3}\]"BW"
(ParticleBW
)\[R(m) = \frac{1}{m_0^2 - m^2 - i m_0 \Gamma_0}\]"LASS"
(ParticleLass
)\[R(m) = \frac{m}{q cot \delta_B - i q} + e^{2i \delta_B}\frac{m_0 \Gamma_0 \frac{m_0}{q_0}} {(m_0^2 - m^2) - i m_0\Gamma_0 \frac{q}{m}\frac{m_0}{q_0}}\]\[cot \delta_B = \frac{1}{a q} + \frac{1}{2} r q\]\[e^{2i\delta_B} = \cos 2 \delta_B + i \sin 2\delta_B = \frac{2 cot \delta_B }{cot^2 \delta_B +1 } + i \frac{cot^2\delta_B -1 }{cot^2 \delta_B +1}\]"one"
(ParticleOne
)\[R(m) = 1\]"exp"
(ParticleExp
)\[R(m) = e^{-|a| m}\]"exp_com"
(ParticleExp
)\[R(m) = e^{-|a+ib| m^2}\]"interp"
(Interp
)
linear interpolation for real number
"interp_c"
(Interp
)
linear interpolation for complex number
"spline_c"
(Interp1DSpline
)
Spline interpolation function for model independent resonance
"interp1d3"
(Interp1D3
)
Piecewise third order interpolation
"interp_lagrange"
(Interp1DLang
)
Lagrange interpolation
"interp_hist"
(InterpHist
)
Interpolation for each bins as constant
"hist_idx"
(InterpHistIdx
)
Interpolation for each bins as constant
"spline_c_idx"
(Interp1DSplineIdx
)
Spline function in index way