conflux.BetaPlusEngine

Public modules.

Attributes

libBSG

Classes

`BetaBranch`	Beta decay branch with spectrum
`BetaIstp`	Collection of all beta decay branches from one isotope
`BetaPlusEngine`	BetaPlusEngine tallys beta branches in the betaDB and calculate theoretical beta spectra of all tallied branches.

Functions

`init_libBSG`([libname])
`decay_rhs`(t, N, lambdas)	Bateman ODEs for a linear chain.
`_p_nu_spectrum`(p, isNu[, numass])	Calculate the electron or beta spectrum from theory as a function of energy.
`electron`(ebeta, p[, numass])	Calculate the beta spectrum from theory as a function of energy.
`neutrino`(enu, p[, numass])	Calculate the neutrino spectrum from theory as a function of energy.

Module Contents

conflux.BetaPlusEngine.libBSG = None

conflux.BetaPlusEngine.init_libBSG(libname='libBSG.so')

conflux.BetaPlusEngine.decay_rhs(t, N, lambdas): Bateman ODEs for a linear chain.

conflux.BetaPlusEngine._p_nu_spectrum(p, isNu, numass=0)

Calculate the electron or beta spectrum from theory as a function of energy.

Parameters:

W (float) – electron total energy in electron mass units, (m_e + KE)/m_e
p (dictionary) –
A dictionary containing parameters to be used in the calculation of the beta spectrum from theory. Parameters: {

’We’: electron total energy in electron mass units, (m_e + KE)/m_e ‘Z’: Z, ‘A’: A, ‘W0’: Spectrum endpoint W ‘R’: nuclear radius, ‘L’: forbiddenness transition, ‘c’: 1.0, ‘b’: bAc*A, ‘d’: 0.0, ‘Lambda’: 0.0, ‘l’: screening_potential(Z)

}
isNu (bool) – spectrum corrections for neutrino or electron?
numass (float, optional) – Neutrino mass parameter, defaults to 0

Returns:

beta spectrum amplitude at given beta energy

Return type:

float

conflux.BetaPlusEngine.electron(ebeta, p, numass=0)

Calculate the beta spectrum from theory as a function of energy.

Parameters:

ebeta (float) – The energy of the beta. Unit: MeV
p (dictionary) –
A dictionary containing parameters to be used in the calculation of the beta spectrum from theory. Parameters: {

’Z’: Z, ‘A’: A, ‘W0’: Spectrum endpoint electron total energy (m_e + KE)/m_e ‘R’: nuclear radius, ‘L’: forbiddenness transition, ‘c’: 1.0, ‘b’: bAc*A, ‘d’: 0.0, ‘Lambda’: 0.0, ‘l’: screening_potential(Z)

}
numass (float, optional) – Neutrino mass parameter, defaults to 0

Returns:

beta spectrum amplitude at given beta energy

Return type:

float

conflux.BetaPlusEngine.neutrino(enu, p, numass=0)

Calculate the neutrino spectrum from theory as a function of energy.

Parameters:

enu – The energy of the electron antineutrino. Unit: MeV
p (dictionary) –
A dictionary containing parameters to be used in the calculation of the beta spectrum from theory. Parameters: {

’Z’: Z, ‘A’: A, ‘W0’: Spectrum endpoint electron total energy (m_e + KE)/m_e ‘R’: nuclear radius, ‘L’: forbiddenness transition, ‘c’: 1.0, ‘b’: bAc*A, ‘d’: 0.0, ‘Lambda’: 0.0, ‘l’: screening_potential(Z)

}
numass (float, optional) – Neutrino mass parameter, defaults to 0

Returns:

beta spectrum amplitude at given beta energy

Return type:

float

class conflux.BetaPlusEngine.BetaBranch(Z, A, I, Q, E0, sigma_E0, bfrac, sigma_bfrac, ecfrac, sigma_ecfrac, forbiddenness=0, bAc=4.7, xbins=np.arange(0, 20, 0.1), numass=0, mixing=0, custom_func=None)

Bases: conflux.Basic.Spectrum

Beta decay branch with spectrum

Z: int: The Atomic number of the mother isotope

A: int: The Atomic mass of the mother isotope

I: int: The isomeric state this decay mode

Q: float: Q value of the decay (MeV)

ZAI: int: The unique identity of the isotope (ZAI = Z*1e4+A*10+I)

E0: float: End-point energy of this branch, unique for each individual beta-unstable isotope

sigma_E0: float: Uncertainty of the end-point energy

bfrac: float: The beta+ decay fraction of this branch to the entire decay.

sigma_bfrac: float: The uncertainty of the beta+ fraction.

ecfrac: float: The EC fraction of this branch to the entire decay.

sigma_ecfrac: float: The uncertainty of the EC fraction.

forbiddenness: int: Type of forbiddeness

numass: float: neutrno mass (MeV), by default 0

mixing: float: mixing of nonzero neutrino mass, by default 0

Parameters: dict: Beta decay function parameters

corr: dict: Correlation vector of this beta decay branch to other branches of the same isotope

cov: dict: Covariance vector of this beta decay branch with other branches of the same isotope

fraction

sigma_frac

bAc = 4.7

custom_func = None

Display(): Display vital branch info.

UpdateParams()

SetCovariance(otherBranch, correlation)

Calculate the correlation and covariances between this branch and the other branch.

Parameters:

otherBranch (conflux.BetaEngine.BetaBranch) – The other beta branch whose correlation and covariance you want to calculate
correlation (float) – The correlation between the two branches

BetaSpectrum(e, nu_spectrum=False)

Calculate the unnormalized beta/neutrino spectral shape as a function of energy.

Parameters:

e (float) – the kinetic energy of beta/neutrino (MeV)
nu_spectrum (bool, optional) – Determine whether to calculate neutrino spectrum, defaults to False
numass (float, optional) – neutrino mass, defaults to 0

Returns:

the spectrum amplitude at specific energy

Return type:

float

SpectEndpointUncertMC(e, nu_spectrum=False, samples=30)

Calculate the beta/neutrino spectral shape uncertainty due to enpoint energy uncertainty sigma_E0 as a function of energy using Monte Carlo sampling.

Parameters:

e (float) – The energy of beta/neutrino (MeV).
nu_spectrum (bool, optional) – Determine whether to calculate neutrino spectrum, defaults to False
samples (int, optional) – Set the size of MC samples, defaults to 30

Returns:

The uncertainty of spectrum amplitude at the input energy

Return type:

float

CalcNormalizedSpectrum(nu_spectrum=False)

Calculated unit-normalized beta/neutrino spectrum shape (at xbins coordinates)

Parameters:: nu_spectrum (bool, optional) – Determine whether to calculate neutrino spectrum, defaults to False

CalcECSpectrum()

Calculated unit-normalized EC neutrino spectrum shape (at xbins coordinates)

Parameters:: nu_spectrum (bool, optional) – Determine whether to calculate neutrino spectrum, defaults to False

class conflux.BetaPlusEngine.BetaIstp(Z, A, I, Q, HL, name, xbins=np.arange(0, 20, 0.1), numass=0, mixing=0)

Bases: conflux.Basic.Spectrum

Collection of all beta decay branches from one isotope

ZAI: int: Top-of-chain isotope (ZAI = Z*1e4+A*10+I)

Z: int: The Atomic number of the mother isotope

A: int: The Atomic mass of the mother isotope

I: int: The isomeric state this decay mode

HL: float: Half life of this isotope (s)

Q: float: Q value of the decay (MeV)

name: str: Name of the isotope

missing: bool = False: Uncertainty of the end-point energy

branches: dict: Dictionary of decay brances, keys (float) are endpoint energies, values are conflux.BetaEngine.BetaBranch

numass: float: neutrno mass (MeV), by default 0

mixing: float: mixing of nonzero neutrino mass, by default 0

MaxBranch: BetaEngine.BetaBranch: The beta decay branch with the largest fraction

AddBranch(branch)

Add beta branch with a new endpoint energy to this isotope.

Parameters:: branch – the branch to be added

EditBranch(defaultE0, **kwargs)

Add or edit branches to the isotope with analyzer’s assumptions.

Parameters:

defaultE0 (float) – Existing end point energy of the missing branch
**kwargs –
AAdditional keyword arguments.

Keyword Args:: sigma_E0 (float): The uncertainty of the end-point energy. fraction (float): The fraction that this branch contributes to the total isotopic spectrum. sigma_bfrac (float): The uncertainty of fraction. forbiddenness (int): The type of forbidden/allowed transition. bAc (float): weak magnetism correcion. custom_func (method): customized beta function, needs to be structued similarly as neutrino() or electron(), defaults to None.

CalcCovariance(GSF=True)

Calculate the covaraince matrix for all the beta branches of this isotope.

Parameters:: GSF (bool, optional) – Determine whether to consider the anti-correlation between the Ground-State-decay branching Fraction (GSF) and other branches, defaults to True

SumSpectra(nu_spectrum=True, branchErange=[0, 20.0])

Sum the beta/antineutrino spectra of all branches of this isotope.

Parameters:

nu_spectrum (bool, optional) – Determine whether to calculate neutrino spectrum, defaults to True
branchErange (two-element list, optional) – set the lower and upper limit of the endpoint energy of branches to be summed, defaults to [0, 20.]

Display(): Display vital isotope property and branch information.

decay_time_adjust(begin, end)

Calculate the percentage of isotope decayed in the given time window.

Parameters:

begin (float) – the begining of the window (s)
end (float) – the end of the window (s)

Returns:

The fraction of isotope decayed (from 0 to 1)

Return type:

float

daughterZAI(gen)

ZAI identifier for decay daughter at generation gen.

Parameters:: gen (int) – daughter generation
Returns:: The ZAI of the decay daughter
Return type:: int

decay_fraction(t, HLs)

Calculate the fraction of decays completed at a generation in a decay chain. The list HLs contains all half lives of the this isotope and all its antecedents.

Parameters:

t (float) – time for which to calculate decay fraction (in same units as HLs)
HLs (list(int)) – half-lives of all decays in chain (in same units as t)

Returns:

fraction of decays completed at time t (0 for t=0; 1 as t -> infinity)

Return type:

float

CalcDecayChain(betaSpectraDB, time)

Calculate the total spectrum of a beta-decay chain in a selected window. Assumes beta decays are 100% of allowed decays in chain.

Parameters:

betaSpectraDB (conflux.BetaEngine.BetaEngine) – the spectrum database that saves all relavant spectra
time (float) – the time stamp

Returns:

summed, decay rate adjusted spectrum and uncertainty in the calculated window

Return type:

numpy.array

class conflux.BetaPlusEngine.BetaPlusEngine(inputlist=None, targetDB=CONFLUX_DB + '/betaDB/ENSDFbetaDB_EC_250804.xml', xbins=np.arange(0, 20, 0.1), custom_func=None, numass=0, mixing=0)

BetaPlusEngine tallys beta branches in the betaDB and calculate theoretical beta spectra of all tallied branches.

inputlist: list[int] = None: A list of isotopes. If the inputlist is not given, load the entire betaDB from the default betaDB.

istplist: dict: A dictionary of isotopes. istplist contain keys as the ZAI number of the isotope and values being conflux.BetaEngine.BetaIstp

targetDB: str: The file name of beta decay data base, defaults to CONFLUX_DB+`/betaDB/ENSDFbetaDB_EC_250804.xml’

xbins: numpy.ndarray: The spectrum range and binning, defaults to np.arange(0, 20, 0.1) (MeV)

custom_func: callable = None: Customized beta function, needs to be structued similarly as conflux.BetaEngine.neutrino() or conflux.BetaEngine.electron(), defaults to None

numass: float = 0: To calculate the spectrum with non-zero neutrino mass, give the neutrino mass in the MeV unit.

mixing: float = 0: To calcualte spectrum with non-zero neutrino mass, provide the mixing (0-1) of the neutrino mass state.

LoadBetaDB(targetDB=CONFLUX_DB + '/betaDB/ENSDFbetaDB_EC_250804.xml', missingBranch=3)

Load default or input betaDB to obtain beta decay informtion. A customed DB must follow the same format as the default DB.

Parameters:

targetDB (str, optional) – The file name of beta decay data base, defaults to CONFLUX_DB+”/betaDB/ENSDFbetaDB_EC_250804.xml”
missingBranch (int, optional) – Determine how many branches there are in a missing isotope, defaults to 3

GetBetaIstp(Z, A, I=0)

Get the BetaIstp object by giving the ZAI number

Parameters:

Z (int) – Proton number of the isotope
A (int) – Atomic mass number of the isotope
I (int, optional) – the Ith isomeric state, defaults to 0

Returns:

the specified beta isotope object

Return type:

conflux.BetaEngine.BetaIstp

CalcBetaSpectra(nu_spectrum=True, branchErange=[0.0, 20.0], GSF=False, silent=False)

Calculates beta or neutrino spectra of listed/default beta decaying isotopes.

Parameters:

nu_spectrum (bool, optional) – Determine whether to calculate neutrino spectrum, defaults to True
branchErange (two-element list, optional) – set the lower and upper limit of the endpoint energy of branches to be summed, defaults to [0, 20.]
GSF (bool, optional) – Determine whether to consider the anti-correlation between the Ground-State-decay branching Fraction (GSF) and other branches, defaults to True
silent (bool, optional) – whether to disable the tqdm output, defaults to False

SaveToFile(filename)

LoadFile(filename)