So, I linked an image to Problem 1.26 below. As far as that problem, to save you the trouble, the answers (at least from what I have) are:
a) ##\gamma = 1.7 ##
b) ## t = 3x10^{-8} ##
c) ## Pions = 30,555 ##
d) ## Pions = 29,628 ##
Fairly confident those are correct, but now this question...
Hello! Tau decay has a branching ratio to a charged pion + neutral pion + tau neutrino much bigger than to a charged pion and a tau neutrino. Based on consideration of available phase space, I would imagine that adding an extra pion would decrease the branching ratio. Why is this happening...
I started combining 2 pions:
##|\pi ^{0},\pi ^{0} >=\sqrt{\frac{2}{3}}|2,0>-\sqrt{\frac{1}{3}}|0,0>##
What should i do now? Should i continue combining the third pion or can i already say that it's forbidden? If yes, why? Is it because the state antisymmetric, impossible for two bosons?
Homework Statement
I'm considering a non-linear chiral theory where the Lagrangian is in terms of the field #\Sigma = e^{\frac{2i\pi}{f}}# where #\pi# is my pion matrix containing pion, kaon, and #\eta#. I need to calculate the transformation of #\pi# up to order #\pi^2# under an axial...
Homework Statement
The problem is to Use the rest energy values in table 1 to calculate the maximum kinetic energy of the pions assuming the kaon is at rest before it decays.
Rest Energies of pions are π- 140, π0 135 and π+ 140.
Rest energies of kaons K- 494, K0 498 K+ 494
Homework...
The weak interaction doesn't conserve CP, so it shouldn't care whether there are two neutral pions in the decay product or three. And the three-pion decay is slowed down by the lack of phase space since there is little mass in excess of that of three pions. So why don't we see more decays into...
Do they exist in nature, i.e. in high Z nuclei, or are they only created in scattering experiments? Are the half lives increased in bound states? Why do positive pions get trapped in the potential well as well as negative pions?
I thought only strange particles were produced in pairs via the strong interaction, however in my textbook it states 'kaons, like pions are produced in pairs via the strong interaction'.
Can particles that are not strange also be produced in this way?
Homework Statement
We were supplied with several images of hydrogen bubble chamber tracks, from which we measured the length of the (invisible) K0 track, angles of departure from the K0 meson's track and curvature. As a way to limit the amount of data we're talking about, I'll only discuss the...
I'm a student in high school asking for suggestions for an experiment proposal.
So far, our idea has been to recreate Young's interference experiment, but instead of using electrons, we will use a heavier particle. Charged pions have been the first choice so far. Aluminum is the current delegate...
A meson can be produced by a high energy photon scattering off a nucleon in an interaction such as
$$\gamma + p \rightarrow p + \pi^0$$
As long as the photon is sufficiently energetic, mesons heavier than the pion can be produced, as well as multiple mesons such as ##\pi^{+} + \pi^{-}##...
Homework Statement
Homework Equations
E^2=m^2~p^2
k mass = 497.7Mev/c^2 pion mass = 139.6 Mev/c^2
The Attempt at a Solution
Using the rest frame i figured that E_pi=m_k/2
so
P_pi = sqrt(E_pi^2 - m_pi^2)
the pion energy is half of the k meson mass so substituting that i end up with 206Mev/c...
A neutral pion decays into two gammas. In the rest frame of the pion, these are back to back and have energies of 67 MeV. I'm interested in the case where the pion's energy in the lab frame is on the order of a few hundred MeV. Can anyone point me to any source of information on what kind of...
hi, I've heard that protons has most of their mass from their electromagnetic and strong interactions between their quarks, but specifically, how does that make mass? and if so, what is intrinsic mass then?
and pions has 2 quarks and strong and electro interactions, why doesn't it has mass...
If I wanted to design an experiment which would allow to distinguish muons from pions in the energy range from 200 MeV to 2 GeV, how would I do it in a simple way? Could I just use the Time of Flight experiment? What quantitative arguments can one make for the design of the detectors?
Homework Statement
A proton and an antiproton, each with an initial speed of 5.90 107 m/s when they are far apart. When these two particles collide, they react to form two new particles: a positive pion (π+, charge +e) and a negative pion (π−, charge −e). Each pion has a rest mass of 2.5...
The mass of a pion is 2.5x10^-28kg.
Calculate the mass of a pion in Gev/c^2. I really don't understand how to do these, as I always divide/multiply the wrong numbers etc.
Does anyone have any ways to remember which way round you do it? (1eV = 1.6x10^-19J) I get confused whether to times or...
I know that the strong force is viewed as the exchange of virtual pions between two nucleons, with the mass and range of them confirmed by the energy-time uncertainty principle. But if the momentum of the pion is transferred from one nucleon to the other in the interaction, wouldn't that give an...
Homework Statement
A Kaon (k0) decays into two charged pions (π+ & π-), what is the minimum momentum required for the kaon so that none of the pions move backwards (in the opposite direction of the kaon) in the laboratory frame.
Homework Equations
Conservation of momentum...
So apparently a neutral pion is a superposition of u\bar{u} and d\bar{d}. I'm having trouble understanding what this means. I have no problem understanding how the decay products of some scattering experiment could be a superposition of these two states, but how can we treat this superposition...
Hello!
I have a small question, and I am not sure if I am missing something:
Today I glanced at the wikipedia page for Pions, and saw this: Statistics: Bosonic
Can anyone explain to me why a quark paired with a anti-quark obey Bose-Einstein Statistics? If quarks obey Fermi-Dirac statistics...
Let me start off by saying that I am no professor of any kind, i am simply a high school student in way over his head concerning particle interactions. Without a class to teach me, i have used the magic of the internet to attempt to get a rudimentary understanding of these interactions. I...
Hi all. I'm looking at the decay of a neutral ρ meson to two neutral π's. I think it is disallowed but I can't figure out why. The J^{P} of the ρ is 1^{-} and 0^{-} for the neutral π's. The formula P(ρ^{0})=(-1)^{L}P(π^{0})P(π^{0}) then says that the decay is allowed provided the π's are...
The charged pion particles (\pi^+ and \pi^-) have different masses from the neutral pion particle (\pi^0). Why? It's not like the pions are nuclei that they have binding energy.
Hi everybody :)
A lagrangian of the u and d quarks where they don't have a mass, shares chiral SU(2) and U(1) symmetries.
In the vacuum, we write
<0| \bar{Q} Q | 0 > = \eta
where Q is the douplet of u and d quarks. In such a way we break chiral symmetries.
The current associated with...
Hi, I'm 11 so I probably will not understand your answer if you use a lot of math without explaining it. I heard that Heisinburg's unceartianity principle was what made people believe Yukawa(spelled right?) that there are such things as virtual mesons that can be pulled out of a vaccum, you...
I heard that (charged) Pions decay due to the weak force, but what does that have anything to do with it? Also, wouldn't the strong force hold them together?
I actually came up with the idea of the Pion on my own before discovering that it had already been discovered.
Also, could they be...
¿Is it possible the decay of rho neutral meson to two pions?
Homework Statement
We initially have the neutral rho meson -----> pion+ + pion-
¿Is this reaction possible? ¿What are the conserved quantities?¿Which is the interaction involved in the process?
Homework...
Homework Statement
In a particle physics experiment a particle called pion is used to hit a target. The particle pion has a (rest) lifetime of 2.6x 10-8 second and is accelerated to a speed 0.99c with respect to the linear accelerator. A straight beam pipe is used to transport the pions to...
Calculating the "proper mean lifetime" of pions
Homework Statement
The mean lifetime of pions at rest is to=2.6x10^-8. if a beam of pions has a speed v=0.85c
a)what would their lifetime be in the laboratory?
b)how far would they travel before they decay?
c)what would your answer to b)...
Homework Statement
a neutral kaon at rest decays to pion- and pion+ , if kaon rest mass is 497.7MeV/c^2, and the pions rest mass is 139.6MeV/c^2, what are the kinetic energies of the resulting pions?
Im very stuck with this, and not sure where to start, how can i find Ek of pions, if i don't...
The nucleon and antinucleon are each about seven times more massive than the pion How is it conceivable that the pion could be a combination of nucleon and antinucleon
The 3 pions have different masses and we say this so because of the electro magnetic energy.if this is so then we can never measure a mass because the magnitude of the EM energy that a particle receives depends on the charged particles around it.
if you help with this dilemma i would be grateful.
Homework Statement
I was wondering if I am getting anything like the right answers here to this:
12. A relativistic anti-proton, with total energy 30 GeV, travels 2.5 x i04 light years (2.36 x 1020 m) from the centre of the Milky Way galaxy and collides with a proton in the Earth's...
hey, i was told that in a Atom's Nucleus, Nucleons keep changing from Proton state to Neutron state , and vice versa , by the means of Pions exchange.
But how does this works
I know :
p+ : u u d
n : u d d
Positive pion (that turns neutron into proton ?) : (d) u
u d d + (d) u = u u...
why is it that the pion with no charge (the one with the 0 in the top corner) actually exists? cos if it's made of an up anti-up or a down anti-down quark, shouldn't they annihilate each other?
Why do proton and anti-proton annihilation can produce extra pions, in addition to the photons; whereas the electron and positron interaction only gives photons?
Nuclear physics Pions and Parity? Ignore, nevermind
Why can:
\pi^- + d \rightarrow n + n + \pi^0
not happen for pions at rest?
work so far:
\begin{array}
{|c|c|c|c|c|c|}\hline&\pi^-&d&\rightarrow &n \ + \ n&\pi^0\\\hline{Spin}&0&1&\
\rightarrow &1/2 \...
I;ve heard 2 different things, and onw says that the strong force is mediated by the gluon, but also, I've also heard that it is mediated by pions. The strong force, AFAIK, is actually caused when the 3 quarks in a hadron, continually exchange gluons with each other. And if a red quark, emits a...