Double beta decay

Information about Double beta decay

In the process of beta decay, unstable nuclei decay by converting a neutron in the nucleus to a proton and emitting an electron and an electron antineutrino. In order for beta decay to be possible, the final nucleus must have a larger binding energy than the original nucleus. For some nuclei, such as germanium-76, the nucleus with atomic number one higher has a smaller binding energy, preventing beta decay from occurring. However, the nucleus with atomic number two higher, selenium-76, has a larger binding energy, so the "double beta decay" process is allowed.

In double beta decay, two neutrons in the nucleus are converted to protons, and two electrons and two electron anti-neutrinos are emitted. This process was first observed in laboratory in 1986 (the first effort of experimental observation was dated by 1948). Geochemical observation of the decay products (by extraction of Kr and Xe from very old Se and Te minerals) are known since 1950. Double beta decay is the rarest known kind of radioactive decay; it was observed for only 10 isotopes, and all of them have a mean life time of more than 1019 yr.

For some nuclei, the process occurs as conversion of two protons to neutrons, with emission of two electron neutrinos and absorption of two orbital electrons (double electron capture). If the mass difference between the parent and daughter atoms is more than 1.022 MeV/c2 (two electron masses), another branch of the process becomes possible, with capture of one orbital electron and emission of one positron. And, at last, when the mass difference is more than 2.044MeV/c2 (four electron masses), the third branch of the decay arises, with emission of two positrons. All these kinds of double beta decay are predicted but not observed yet.

Neutrinoless double beta decay

The processes described above are also known as two neutrino double beta decay, as two neutrinos (or anti-neutrinos) are emitted. If the neutrino is a Majorana particle, meaning that the anti-neutrino and the neutrino are actually the same particle then it is possible for neutrinoless double beta decay to occur. In neutrinoless double beta decay the emitted neutrino is immediately absorbed (as its anti-particle) by another nucleon of the nucleus, so the total kinetic energy of the two electrons would be exactly the difference in binding energy between the initial and final state nuclei. Numerous experiments have been carried out and proposed to search for neutrinoless double beta decay, as its discovery would indicate that neutrinos are indeed Majorana particles and allow a calculation of neutrino mass. For further information, see the NEMO3 page.

List of known double-beta decay isotopes

More than 60 naturally occurring isotopes are capable of undergoing double-beta decay. Only ten of them were observed to decay[1] (via the two-neutrino mode, allowed by the Standard Model): 48Ca, 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te, 150Nd, and 238U.

A great many isotopes are, in theory, capable both of double-beta decay and other decays. In most cases, the double-beta decay is so rare as to be nearly impossible to observe against the background of other radiation. However, the double beta decay rate of 238U (also an alpha emitter) has been measured radiochemically; 238Pu is produced by this type of radioactivity. Two of the nuclides (48Ca and 96Zr) from the list above can decay also via single beta decay but this decay is extremely suppressed and was never observed.

See also

References

beta decay is a type of radioactive decay in which a beta particle (an electron or a positron) is emitted. In the case of electron emission, it is referred to as "beta minus" (β), while in the case of a positron emission as "beta plus" (β+).
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The nucleus of an atom is the very small dense region of an atom, in its center consisting of nucleons (protons and neutrons). The size (diameter) of the nucleus is in the range of 1.
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Neutron

The quark structure of the neutron.
Composition: one up, two down
Family: Fermion
Group: Quark
Interaction: Gravity, Electromagnetic, Weak, Strong
Antiparticle: Antineutron
Discovered: James Chadwick[1]
Symbol: n
Mass: 1.
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Proton

The quark structure of the proton.
Composition: 2 up, 1 down
Family: Fermion
Group: Quark
Interaction: Gravity, Electromagnetic, Weak, Strong
Antiparticle: Antiproton
Discovered: Ernest Rutherford (1919)
Symbol: p+
Mass: 1.
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Electron

Theoretical estimates of the electron density for the first few hydrogen atom electron orbitals shown as cross-sections with color-coded probability density
Composition: Elementary particle
Family: Fermion
Group: Lepton
Generation: First
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Antineutrino
Composition: Elementary particle
Family: Fermion
Group: Lepton, Anti-Lepton
Interaction: weak force and gravity
Antiparticle: Neutrino
Theorized: 1930
Discovered: 1956
Symbol: , and
No.
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Binding energy is the mechanical energy required to disassemble a whole into separate parts. A bound system has a lower potential energy than its constituent parts; this is what keeps the system together.
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Germanium (Ge)
Standard atomic mass: 72.64(1) u

Table


nuclide
symbol Z(p) N(n)  
isotopic mass (u)
  half-life nuclear
spin representative
isotopic
composition
(mole fraction) range of natural
variation
(mole fraction)
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Selenium (Se) has six naturally-occurring isotopes, five of which are stable: 74Se, 76Se, 77Se, 78Se, and 80Se.
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Double electron capture is a decay mode of atomic nucleus. For a nuclide (A, Z) with number of nucleons A and atomic number Z, double electron capture is only possible if the mass of the nuclide of (A, Z-2) is lower.
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Positron
Composition: Elementary particle
Family: Fermion
Group: Lepton
Generation: First
Interaction: Gravity, Electromagnetic, Weak
Antiparticle: Electron
Theorized: Paul Dirac, 1928
Discovered: Carl D.
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The Majorana equation is a relativistic wave equation similar to the Dirac equation but includes the charge conjugate ψc of a spinor ψ. It is named after the Italian Ettore Majorana, and in natural units it is

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nucleon is a collective name for two baryons: the neutron and the proton. They are constituents of the atomic nucleus and until the 1960s were thought to be elementary particles. In those days their interactions (now called internucleon interactions) defined strong interactions.
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kinetic energy of an object is the extra energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its current velocity.
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The Majorana equation is a relativistic wave equation similar to the Dirac equation but includes the charge conjugate ψc of a spinor ψ. It is named after the Italian Ettore Majorana, and in natural units it is

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Calcium-48 is a rare isotope of calcium containing 20 protons and 28 neutrons. It makes up 0.187% of natural calcium by mole fraction.[1] Although it is unusually neutron-rich for such a light nucleus, the only radioactive decay pathway open to it is the extremely rare
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Germanium (Ge)
Standard atomic mass: 72.64(1) u

Table


nuclide
symbol Z(p) N(n)  
isotopic mass (u)
  half-life nuclear
spin representative
isotopic
composition
(mole fraction) range of natural
variation
(mole fraction)
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Selenium (Se) has six naturally-occurring isotopes, five of which are stable: 74Se, 76Se, 77Se, 78Se, and 80Se.
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Naturally-occurring zirconium (Zr) is composed of four stable isotopes, and one extremely long-lived radioisotope (96Zr), which decays via double beta decay with the observed half-life of 2.
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There are 35 known isotopes of Molybdenum (Mo) ranging in atomic mass from 83 to 117, as well as four metastable nuclear isomers. Seven isotopes occur naturally, with atomic masses of 92, 94, 95, 96, 97, 98, and 100.
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Naturally occurring Cadmium (Cd) is composed of 8 isotopes. For two of them, natural radioactivity was observed, and three others are predicted to be radioactive but their decays were never observed, due to extremely long half-life times.
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There are 30 known isotopes of Tellurium (Te) with atomic masses that range from 108 to 137. Naturally found tellurium consists of eight isotopes (listed in the table to the right); three of them are observed to be radioactive.
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There are 30 known isotopes of Tellurium (Te) with atomic masses that range from 108 to 137. Naturally found tellurium consists of eight isotopes (listed in the table to the right); three of them are observed to be radioactive.
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Naturally occurring Neodymium (Nd) is composed of 5 stable isotopes, 142Nd, 143Nd, 145Nd, 146Nd and 148Nd, with 142Nd being the most abundant (27.
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Uranium-238 (U-238), is the most common isotope of uranium found in nature. When hit by a neutron, it becomes uranium-239 (U-239), an unstable element which decays into neptunium-239 (Np-239), which then itself decays, with a half-life of 2.355 days, into plutonium-239 (Pu-239).
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Uranium-238 (U-238), is the most common isotope of uranium found in nature. When hit by a neutron, it becomes uranium-239 (U-239), an unstable element which decays into neptunium-239 (Np-239), which then itself decays, with a half-life of 2.355 days, into plutonium-239 (Pu-239).
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Plutonium 238, is a radioactive isotope of plutonium with a half-life of 87.7 years and is a very powerful alpha emitter. Because of its high level of alpha activity, it is used for radioisotope thermoelectric generators and radioisotope heater units.
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Double electron capture is a decay mode of atomic nucleus. For a nuclide (A, Z) with number of nucleons A and atomic number Z, double electron capture is only possible if the mass of the nuclide of (A, Z-2) is lower.
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beta decay is a type of radioactive decay in which a beta particle (an electron or a positron) is emitted. In the case of electron emission, it is referred to as "beta minus" (β), while in the case of a positron emission as "beta plus" (β+).
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Neutrino
Composition: Elementary particle
Family: Fermion
Group: Lepton
Interaction: weak force and gravity
Antiparticle: Antineutrino (possibly identical to the neutrino)
Theorized: 1930 by Wolfgang Pauli
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