What is Neutrino: Definition and 389 Discussions

A neutrino ( or ) (denoted by the Greek letter ν) is a fermion (an elementary particle with spin of 1/2) that interacts only via the weak interaction and gravity. The neutrino is so named because it is electrically neutral and because its rest mass is so small (-ino) that it was long thought to be zero. The rest mass of the neutrino is much smaller than that of the other known elementary particles excluding massless particles. The weak force has a very short range, the gravitational interaction is extremely weak, and neutrinos do not participate in the strong interaction. Thus, neutrinos typically pass through normal matter unimpeded and undetected.Weak interactions create neutrinos in one of three leptonic flavors: electron neutrinos (νe), muon neutrinos (νμ), or tau neutrinos (ντ), in association with the corresponding charged lepton. Although neutrinos were long believed to be massless, it is now known that there are three discrete neutrino masses with different tiny values, but they do not correspond uniquely to the three flavors. A neutrino created with a specific flavor has an associated specific quantum superposition of all three mass states. As a result, neutrinos oscillate between different flavors in flight. For example, an electron neutrino produced in a beta decay reaction may interact in a distant detector as a muon or tau neutrino. Although only differences between squares of the three mass values are known as of 2019, cosmological observations imply that the sum of the three masses (< 2.14 × 10−37 kg) must be less than one millionth that of the electron mass (9.11 × 10−31 kg).For each neutrino, there also exists a corresponding antiparticle, called an antineutrino, which also has spin of 1/2 and no electric charge. Antineutrinos are distinguished from the neutrinos by having opposite signs of lepton number and right-handed instead of left-handed chirality. To conserve total lepton number (in nuclear beta decay), electron neutrinos only appear together with positrons (anti-electrons) or electron-antineutrinos, whereas electron antineutrinos only appear with electrons or electron neutrinos.Neutrinos are created by various radioactive decays; the following list is not exhaustive, but includes some of those processes:

beta decay of atomic nuclei or hadrons,
natural nuclear reactions such as those that take place in the core of a star
artificial nuclear reactions in nuclear reactors, nuclear bombs, or particle accelerators
during a supernova
during the spin-down of a neutron star
when cosmic rays or accelerated particle beams strike atoms.The majority of neutrinos which are detected about the Earth are from nuclear reactions inside the Sun. At the surface of the Earth, the flux is about 65 billion (6.5×1010) solar neutrinos, per second per square centimeter. Neutrinos can be used for tomography of the interior of the earth.Research is intense in the hunt to elucidate the essential nature of neutrinos, with aspirations of finding:

the three neutrino mass values
the degree of CP violation in the leptonic sector (which may lead to leptogenesis)
evidence of physics which might break the Standard Model of particle physics, such as neutrinoless double beta decay, which would be evidence for violation of lepton number conservation.

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  1. Anchovy

    Neutrino mass state = flavour state, but how come?

    I understand the basics of neutrino oscillation from the starting point of each neutrino flavour state being a superposition of mass states, or vice versa. However, the introductory texts I've seen never seem to explain what motivated such an idea. What made Pontecorvo think this?
  2. Garlic

    Neutrino flavor conservation

    Hello everyone, Are neutrino flavors conserved in interactions other than neutral particle oscillations?
  3. C

    How Neutrinos Prevent Cavities

    They make fluorine, according to a large new study. Link: ScienceNOW
  4. A

    Estimate distance of neutrino

    Homework Statement...
  5. aztronut

    Neutrino Anti-Particle and Flavor Mass Hierarchy

    "Other experiments to test whether the neutrino is, weirdly, its own antiparticle may be feasible only if the hierarchy is inverted." Why? http://news.sciencemag.org/physics/2015/08/u-s-neutrino-experiments-first-result-tantalizes?utm_campaign=email-news-latest&utm_src=email
  6. BWV

    EM vs Neutrino interactions w matter

    basic question- neutrinos pass through matter because they are only subject to the weak interaction whereas photons interact with matter because they are subject to EM? Does the small mass of the neutrino contribute to this - if there was a neutrino with the mass of a proton how differently...
  7. F

    Energy Conservation: Beta Ray & Neutrino

    Energy of beta ray and neutrino is equal Q=M(mass) of nucleous before-M of nucleous after,so it about 1Mev.But the mass of W boson is 80 MeV,so the least energy of electron and neutrino must be 80 MeV. Why there is the difference?Why does it seem that energy were not conservation?
  8. mfb

    Insights Neutrino masses and speed - Comments

    mfb submitted a new PF Insights post Neutrino Masses and Speed Continue reading the Original PF Insights Post.
  9. V

    Can You Measure the Spin of a Neutrino Along the X or Y Axes?

    Neutrinos are always left handed* and so, if you set up a coordinate system with the z-axis pointing in the direction of a neutrino's momentum, any measurement of its spin's z-component will always yield ##-\hbar/2##. What if you measured the spin of the neutrino along the x or y axes? Or is...
  10. Buzz Bloom

    What is the correct solar neutrino reaction equation and how was it discovered?

    Hi mfb: The following messages were in the now closed thread "Neutrinos-Antineutrinos in the universe". Bill_K said (msg #2): Most of the neutrinos we detect are solar neutrinos coming from p + P → d + e+ + ν. I said (msg #5): Is the "P" here a typo where "p" was intended? If not, what does...
  11. Buzz Bloom

    Neutrino theory regarding rest masses

    In another thread a point was raised that current theory (or perhaps experimental results) establishes a definite (or appromimate) relationship between the average and the variance of the rest masses for the three flavors of neutrinos. I have tried to educated myself from material I can find on...
  12. U

    Electron and Muon Neutrinos difference

    Homework Statement Neutrinos with energy of about ##1 GeV## are measured in an underground detector and compared with simulations of neutrinos produced in the atmosphere. Measured flux of upward going muon neutrinos ##(\nu_\mu + \bar \nu_\mu)## is half compared to simulations while measured...
  13. R

    Seesaw mass matrix and neutrino masses

    Hi Since a few days I've been confused about the seesaw mass matrix explaining neutrino masses. It is the following matrix: \begin{pmatrix} 0 & m\\ m & M \\ \end{pmatrix}. As can easily be checked it has two eigenvalues which are given by M and -m^2/M in the limit M>>m (the limit doesn't...
  14. E

    Neutral meson vs. neutrino oscillations

    Hello, I need to research online about the difference between neutral meson and neutrino oscillations. However I've found this difficult. I haven't found anywhere any comments on the differences between the two. The only thing which comes to mind is that the mesons can interact in their mass...
  15. Stephanus

    Are neutrinos much more abundant than atoms?

    Dear PF Forum, I once read in several links just a couple of days ago, that the number of neutrinos exceeds the number of baryon in the universe by several orders of magnitude. 1. Is that true, that neutrinos are much more abundant than atoms? 2. Do neutrinos have mass? Not that they are...
  16. ChrisVer

    Neutrino Oscillation in matter

    Hi, I have some problem in deriving \Delta m_M^2 as given in eq.35 here: http://www.slac.stanford.edu/econf/C040802/papers/L004.PDF When I tried to derive the eigenvalues of H_M (eq.33) I got: m^2 = (\cos 2 \theta -x)^2 + \sin^2 2 \theta which is only one eigenvalue. Any help? In...
  17. U

    Evidence that the neutrinos are different?

    We know that there are 3 generations of neutrinos, namely the electron neutrino, muon neutrino and the tau neutrino. The masses are all very small compared to their respective leptons. What evidence is there that these neutrinos of different generations are distinct?
  18. D

    "silly" question - Neutrino observation

    Hello. Probably a stupid question, but hey why not. Since Neutrino's do not interact with electromagnetic fields, but cosmic rays and other particles (that would overwhelm a neutrino signal if observed in an environment not at least partially shielded from their signals as at SNO etc) DO...
  19. ChrisVer

    Neutrino Oscillations -partition of PMNS

    I have seen that people write the PMNS matrix as a multiplication of the form: \text{PMNS}= A \cdot S_{ub} \cdot S_{ol} \cdot M \text{PMNS}= \begin{pmatrix} 1 & 0 & 0 \\ 0 & c_{23} & s_{23} \\ 0 & -s_{23} & c_{23} \end{pmatrix} \cdot \begin{pmatrix} c_{13} & 0 & s_{13} e^{-i \delta} \\ 0 & 1 &...
  20. D

    How Should I Incorporate Neutrino Decoupling into My Function?

    Background: Neutrinos decouple at around 10^10 K (or 1 MeV). This is normally shown as the interaction rate (between neutrinos and electrons) over the Hubble constant: Gamma/H = (T/10^10 K)^3 My problem: I have a function which is dependent on the neutrino-electron interaction. But it does...
  21. ryanuser

    Solving Neutrino Confusion: 3 Types Explained

    Hi Why are there three types of neutrinos? Why isn't there just one neutrino just like there is only one electron? (I mean electron doesn't have different flavours to it, same with tau and muon.) My textbook touches on this very breifly and confuses me with "if there were only one type of...
  22. O

    Neutrino Physics Books: Free E-Books Available

    Could someone provide the e-books about neutrino physics? thanks.
  23. ChrisVer

    Neutrino Detectors: Signature of l q & e Interactions

    What would be the signature in a neutrino detector of these interactions? \nu_l q \rightarrow q^\prime X and \bar{\nu}_l e \rightarrow \bar{\nu}_l l^- with q a nucleon's quark and l^- a lepton? In general I would say that the signal would be that of the resulting lepton and maybe hadron jet...
  24. J

    What is the true nature of neutrinos and their role in the universe?

    As a neutrino is capable of movement at a rate greater than that of light, and as such flows backwards through time relative to our own perspective, then why do we attempt to understand it through causality, rather than effect and cause as opposed to cause and effect? Why should we expect that a...
  25. Safinaz

    The amplitude of B decay into tau neutrino

    Hi there, In Reference as hep-ph/0306037v2, we see the effective Hamiltonian of ## B \to l \nu ## equ. 1, which has the SM and the NP parts. In equ. 4, it seems that ## m_l ## comes from ## P^\mu_B ## equ. 3. The question that how ## P^\mu_B ## yields ## m_l ## ? Where ## P^\mu_B = ( E_B, 0...
  26. B

    Does Helicity or Chirality Govern the Weak Process in Neutrino Interactions?

    A left handed neutrino (chirality) can be seen with a right helicity due to a lorentz boost. Can this neutrino interact ? Yes because it is still left-handed chirality ?
  27. T

    Survival probability solar neutrinos

    I am trying to explain why why the survival probability for solar neutrinos is different for different neutrino solar lines, and what causes this difference.
  28. L

    Answer: Solve Neutrino Oscillations Eigenvalues & Eigenvectors

    Homework Statement Considering just the electron and the muon neutrino, The Free hamiltonian is written in this basis as: H = 1/2 (E + Δ Cos[θ]) |Ve><Ve| + 1/2 Δ Sin[θ] |Vu><Ve| + 1/2 Δ Sin[θ]|Ve><Vu| + 1/2 (E - Δ Cos[θ]) |Vu><Vu| Since H is not diagonal in this basis, they will exhibit...
  29. Z

    Neutrino changes chlorine to argon

    A neutrino converts a chlorine-37 atom into one of argon-37 A neutrino is also able to react with an atom of gallium-71, converting it into an atom of germanium-71 It looks to me as if the neutrino was changing into a proton in both cases as argon has 1 more proton than chlorine and likewise...
  30. N

    Energy Release of Electron Capture to Ground State

    Hello All, I am pretty sure that when a nucleus decays via e.c. and goes to the ground state all of the excess energy is released with the emission of the neutrino but was wondering if anyone could confirm/give a reference for this. Thanks!
  31. Larry Pendarvis

    Energy/Momentum transfer from neutrinos to black holes

    Suppose you have a source of electron antineutrinos, and you arrange your apparatus so that a billion billion billion of them collide directly with a black hole. In principle, you could measure the change in momentum and energy from that occurrence. Suppose you did that the next day. According...
  32. Larry Pendarvis

    Is photon-photon annihilation possible in an optical fiber?

    Consider this report: http://www.physics-astronomy.com/2015/01/quantum-teleportation-of-subatomic.html "Then, the researchers shot a third particle of light at the photon traveling down the cable. When the two collided, they obliterated each other. Though both photons vanished, the quantum...
  33. edpell

    How massive do neutrinos need to be to account for all dark matter?

    How massive would the neutrinos have to be so that relic neutrino from the big bang would account for all dark matter?
  34. edpell

    Mass of Neutrino: Upper Limit & How Measured

    What is the current upper limit on the mass of the most massive neutrino? How is that limit measured? Thanks.
  35. PeterDonis

    Negative Neutrino Mass Squared: Accepted Paper Analysis

    I just came across this paper arguing that the electron neutrino may have negative mass squared: http://arxiv.org/abs/1408.2804 It says it has been accepted for publication. I'm wondering if anyone has seen it and can comment on the paper's arguments.
  36. V

    Rearranging neutrino expression in see-saw maths

    Hello I'm working through the see-saw mechanism. This is currently from the one-generation section. (I haven't got to the three generation workings yet... although I'm guessing I'll come across something very similar in the three generation model) Could someone please tell me if it is correct...
  37. R

    How do the W and Z Gauge Bosons work in the weak nuclear force?

    I've seen explanations that when a neutrino with a W+ Boson comes near a neutron, it affects one of the bottom quarks and changes it to a up quark which effectively turns the neutron into a proton. The neutrino then turns into an electron. Source: (2:20 onwards) I've seen other explanations...
  38. S

    Maths - writing neutrino states in different forms

    Hello I'm trying to work through a see-saw model derivation and I've become a bit stuck. I've tried lots of sources but the difference in conventions doesn't fill me with confidence when combining these sources. I need to get from ## \overline{ \nu_L^c } \nu_R^c + h.c ## to ## \overline{...
  39. S

    Neutrino oscillations and Majorana Phase

    Hello Why are neutrino oscillations insensitive to Majorana phases? I'm guessing it has something to do with them being factored out the PMNS matrix using a diagonal matrix ... i.e. U_PMNS = U Diag (a1, a2, 1) Is there a point in the oscillation calculation where they always cancel due to a...
  40. B

    Calculating Neutrino Energy in PPI Chain

    How would i go about working out the percentage of energy carried away by neutrinos in a PPI chain?
  41. arivero

    So when did people start to suspect that the neutrino had mass?

    Looking at Nucl.Phys. B194 (1982) 422 I read "In 1972 there were two neutrinos and they were both massless. Today we have three and perhaps all of them have mass. " Hey, 1981 and neutrinos have mass? I was not even in the university. And in all the textbooks the neutrino was massless...
  42. K

    Solar Neutrino Flux: Understanding Variables in Equation

    Homework Statement Hello Guys :) I have been studying neutrinos this term in physics and have been trying to calculate the neutrino flux on earth. I have found an equation but I am just unsure about what the variables in the equation stand for. Homework Equations F = N/(A t) = E/(A...
  43. R

    Neutrino Interactions: Z Boson, Electron & Beyond

    When the Z boson is around can a neutrino interact with a particle other than an electron? And how does the neutrino find the electron if the neutrino is neutral and does not interact electromagnetically?
  44. Warpspeed13

    What's the difference between a Muon and a neutrino?

    What's the difference between a neutrino and a Muon? Will a neutrino induce fusion the same as a muon? Does muon induced fusion take place in the sun? Any help is greatly appreciated.
  45. Greg Bernhardt

    How Do Neutrino Oscillations Reveal the Nature of Neutrinos?

    Definition/Summary There are three masses of neutrino (they are unknown, but the differences of their squares is known approximately). There are three flavours of neutrino: electron- muon- and tau-, and a neutrino when it is created must be one of those three flavours. Each flavour is a...
  46. A

    How can a tiny neutrino produce massive W+ and electron?

    A charged lepton can absorb a W+ boson and be converted into a neutrino, and visa versa. The neutrino has such small rest mass, how can it produce these large particles/be produced by them?
  47. T

    Can the Neutrino Oscillation Formula be Simplified Using a Trivial Proof?

    Hi all! I am not sure how to prove mathematically that the expression for the probability that a neutrino originally of flavor α will later be observed as having flavor β P_{α \rightarrow β}=\left|<\nu_{\beta}|\nu_{\alpha}(t)>\right|^2=\left|\sum_{i}U_{β i}^*U_{α i}e^{-iE_it}\right|^2 (1) can...
  48. Daaavde

    Unclear approximation in demonstration regarding neutrino oscillations

    I'm stucked in a passage of Particle Physics (Martin B., Shaw G.) in page 41 regarding neutrino oscillations. Having defined E_i and E_j as the energies of the eigenstates \nu_i and \nu_j, we have: E_i - E_j = \sqrt{m^2_i - p^2} - \sqrt{m^2_j - p^2} \approx \frac{m^2_i - m^2_j}{2p} It...
  49. E

    Experiment: Photon propagating trough dense neutrino beam

    Greetings. I thought about how/ why light propagates slower trough matter than vacuum. Generally it is excepted that it happens because photons are absorbed and then emitted by the atoms and it kinda makes sense. But I see other possibilities. I propose and experiment: How about shining...
  50. T

    Schroediger Equation by Neutrino Oscillations

    Hi all! This question concerns flavour changing oscillations. Let's narrow it down to the neutrino case, where we have additionally the violation of lepton numbers. So electron and muon neutrinos naturally follow the relativistic Dirac equation: (p\!\!\!/ + m_e ) \nu_e = 0 and (p\!\!\!/ +...
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