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Foundation of Physics 3A (Nuclear Physics part 1)

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Introduction to Nuclear Physics, Symmetry, Scattering Experiments, Rutherford Experiments, Nuclear masses and Binding energies, Nuclear Stability, Beta(weak) decays, A-changing decays, Shell Model

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Uploaded on
June 14, 2024
Number of pages
47
Written in
2023/2024
Type
Class notes
Professor(s)
Rodrigo alonso-de-pablo
Contains
Nuclear physics part 1

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LI Introduction

What is nuclear ?
physics

Nuclear Physics is :
relativity
scattering
nuclear model
transition

?
Why nuclear physics
an M Gn-newton constant
·



Gravity : acceleration a =

rz
M-mass of earth

&


& ·



·
&
&




&




The
study of nuclear physics :



-


t of energy consumption in the UK

-2
fundamental forces of nature

- understand better the
periodic table .




How learn nuclear ?
to physics
Use
·
optical microscopes resolve distance to
-
uloo um 1 nm =
10 m/
e .



g reveal structure
of bacteria .




Resolution of the instrument is limited
fundamentally
by the
wavelength of radiation we use


Resolution
7X

Crystal flat naked
e
but
g is to
eyes ,
X-ray
revea its structure
.

, Electron resolve distance
microscopes to 100pm
·




*
10 m)
-




1 pm =




eg reveal structures of molecules and atams .




Broglie's equation :



x 1
=




n-planck's constant h = 6 .
626x1034 is

-
increase momentum for smaller resolution

After point particles that
-




some , these hit

the material energetic that
are so
we are



longer taking photos collision
no rather , a




·
To
study nuclei , we need resolution 10 m
Natural Units

·
2 fundamental constants in nature

1) Reduced Planck's constant :




h =
= 6 .
58X10 - eVs
where ev =
1 6 X 10
.
+
J

2) speed of light :



c = 3 . 00X108 m/s


We these two constants rods
measuring
·
use as



by setting them to 1


n = c =
1

, E.g in 147 =
H14) =
: 14) =
H147

APAXIE =
APAXIE
Erest = mc =>
Erest = m


*
·
Unit : eV = 1 .
6 x10 I


ev
The
following have the unit

momentum time distance
energy mass
+
LE] =
[m] =
[p] =
It ] =
[x
+
] = er
bracket denotes unit .




Example => N V :
·
.




Given length Lun =
2 .
10
*
eVt .
Find the
length
in S I .
unit
Procedures :
.




·
Ls =
t ** LNu work out the
power of
nic
& [LsI] = m , metre


15 15
>
[tac Lvn] leVs 19
+
=
eV


So m = evatmt gat
=> a =
1 &


a-
= 0 => t =
1
+
Thus LsI = < Lvn = 197 MeVfu .
2X10-eV
=
104 fu I
197 MeVfm
·
=

, Relativistic Kinematics

For
·
a
particle at rest :



Erest = mcz

· For a
moving particle :




EX mc + where P =
my

KE = E mr2

·




Taking an object of 1 kg 1 then E = mc
~ 10"J
This cannot
happen as , there are conserved

quantities prevent this . It would
split into

matter of antimatter .




·
Galilean transformations : non-relativistic

X = X + Vt


matrix notation :

() =

(11)
momentum :
P = mr

P = mr + pl


Conflict :


·
Nothing travels faster than

ConflictWith
measured
·
There are
experimental particles
have momentum


p
= m .
10
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