Class nucmass (o2scl)¶
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class
o2scl
::
nucmass
: public o2scl::nucmass_info¶ Nuclear mass formula base [abstract base].
(See also the discussion in nuclei_section.)
This is abstract base class for the nuclear mass formulas. Some mass formulas are undefined for sufficiently exotic nuclei. You can use the function is_included() to find if a particular is included or not in a particular mass formula.
The quantities below are returned in units of MeV. The functions include a version which takes Z and N as integers and a version with a suffix
"_d"
which takes Z and N as double-precision numbers.The mass excess is given by mass_excess() and mass_excess_d() .
Binding energies (binding_energy() and binding_energy_d() ) are determined from mass excesses by
\[ \mathrm{binding~energy} = A u - Z \left(m_p + m_e\right) - N m_n + \mathrm{mass~excess} \]The neutron, proton, and electron masses and atomic mass unit are stored in m_prot, m_neut, m_elec, and m_amu . By default, this are assigned to the values in o2scl_mks times o2scl_const::hc_mev_fm , but these default values are modified in the constructors of some children classes.Total masses, as returned by total_mass() and total_mass_d() , are the mass of the nuclide without the electron mass or binding energy contribution
\[ \mathrm{total~mass} = \mathrm{mass~excess} + A u - Z m_e \]Atomic masses are the total mass with the electron mass and binding energy contributions (see atomic_mass() and atomic_mass_d() ). Electron binding energies are computed in electron_binding() and approximated with
\[ 14.4381 \times 10^{-6} Z^{2.39} + 1.55468 \times 10^{-12} Z^{5.35}~\mathrm{MeV} \]as in Eq. A4 of [Lunney03] .
Generally, descendants of this class only need to provide an implementation of mass_excess() and mass_excess_d() and possibly a new version of is_included() to be fully functional.
Subclassed by o2scl::nucmass_fit_base, o2scl::nucmass_table
Base masses
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double
m_neut
¶ Neutron mass in \( \mathrm{MeV} \) (defaults to o2scl_mks::mass_neutron converted into MeV)
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double
m_prot
¶ Proton mass in \( \mathrm{MeV} \) (defaults to o2scl_mks::mass_proton converted into MeV)
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double
m_elec
¶ Electron mass in \( \mathrm{MeV} \) (defaults to o2scl_mks::mass_electron converted into MeV)
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double
m_amu
¶ Atomic mass unit in \( \mathrm{MeV} \) (defaults to o2scl_mks::unified_atomic_mass converted into MeV)
Public Functions
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nucmass
()¶
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~nucmass
()¶
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const char *
type
()¶ Return the type,
"nucmass"
.
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bool
is_included
(int Z, int N)¶ Return false if the mass formula does not include specified nucleus.
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int
get_nucleus
(int Z, int N, nucleus &n)¶ Fill
n
with the information from nucleus with the given neutron and proton number.All masses are given in \(\mathrm{fm}^{-1}\). The total mass (withouth the electrons) is put in part::m and part::ms, the binding energy is placed in nucleus::be, the mass excess in nucleus::mex and the degeneracy (part::g) is arbitrarily set to 1 for even A nuclei and 2 for odd A nuclei.
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double
mass_excess
(int Z, int N) = 0¶ Given
Z
andN
, return the mass excess in MeV [abstract].
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double
mass_excess_d
(double Z, double N) = 0¶ Given
Z
andN
, return the mass excess in MeV [abstract].
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double
electron_binding
(double Z)¶ Return the approximate electron binding energy in MeV.
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double
binding_energy
(int Z, int N)¶ Return the binding energy in MeV.
The binding energy is defined to be negative for bound nuclei, thus the binding energy per baryon of Pb-208 is about -8*208 = -1664 MeV.
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double
binding_energy_d
(double Z, double N)¶ Return the binding energy in MeV.
The binding energy is defined to be negative for bound nuclei, thus the binding energy per baryon of Pb-208 is about -8*208 = -1664 MeV.
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double
total_mass
(int Z, int N)¶ Return the total mass of the nucleus (without the electrons) in MeV.
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double
total_mass_d
(double Z, double N)¶ Return the total mass of the nucleus (without the electrons) in MeV.
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double
atomic_mass
(int Z, int N)¶ Return the atomic mass of the nucleus in MeV (includes electrons and their binding energy)
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double
atomic_mass_d
(double Z, double N)¶ Return the atomic mass of the nucleus in MeV (includes electrons and their binding energy)
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double