YASHPAL KASHYAP

Electric Charge On A Quark

 

 

 

All Quarks carry some “Electric Charge” with them. The Electric Charge on a Quark are fractional. The values of Electric Charge of a Quark is either “− 1/3 e or + 2/3 e Times Of The Total Charge Or Elementary Charge”.

The Up-Type Quark, Which constitute of Up Quark, Charmed Quark & Top Quark carry +2/3 e charge on them. On the other hand the Down-Type Quark, Which constitute of Down Quark, Strange Quark & Bottom Quark carry −1/3 e charge on them.

Antiquarks have just the opposite charges, The Up-Type Antiquarks will have −2/3 e Charge on them. The Down-Type Antiquarks will have +1/3 e Charge on them.

 

Mathematical Analysis :

 

Let us do some practical calculations of Electric Charge Of Quark.

Consider a Hadron, Which is combining to form an Atomic Nuclei. The Atomic Nuclei consist of Neutrons & Protons.

 

Charge On Neutrons

 

As we know Neutron consist of Two Down Quarks & One Up Quark.

Now we know that the Down Quark Carry - 1/3 e on them. There are Two Down Quarks. Thus, Adding up the value of Down Quarks we get,

             

         Total Down Quark Charge  

               = −1/3e + (−1/3e)

          = −1 + (−1)/3e

 Total Down Quark Charge  

                        = − 2/3e…………...(Eq1)

 

Neutron also contain One Up Quark, Now we know that Up Quark Carry +2/3e Charge on them.

          Total Up Quark Charge

                         = +2/3e……………...(Eq2)

 

Adding up the above equations (Eq1 + Eq2),

Total Charge On Neutron = Total Down Quark Charge + Total Up Quark Charge

       = −2/3e         +          (+2/3e)

                           = −2/3e         +            2/3e

               Total Charge On Neutron

= 0e

 

 

Charge On Protons

 

As we have studied earlier, That Proton consist of Two Up Quarks & One Down Quark

Now we know that the Up Quark Carry +2/3e Charge on them. There are Two Up Quarks in Proton. Thus, Adding up the value of Up Quarks we get,

     

Total Up Quark Charge

= +2/3e + (+2/3e)

  = +2 + (+ 2)/3e

          Total Up Quark Charge

   = +4/3e…………………..(Eq1)

 

Proton also contain One Down Quark, Now we know that the Down Quark Carry −1/3e Charge on them.

                         Total Down Quark Charge

    = −1/3e……………………(Eq2)

 

Adding up the above equations (Eq1 + Eq2),

Total Charge On Proton = Total Down Quark Charge + Total Up Quark Charge

 = −1/3e        +        (+4/3e)

    = −1/3e        +          4/3e

     = −1             +          4 / 3e

= +3/3e

Total Charge On Proton

= +1e

 

“Thus, From The Above Calculus We Get, The Total Charges On Neutron Is 0e & The Total Charges On Proton Is +1e”.

We can say that the Electric Charges On Hadron Is Sum Of The Electric Charges On Its Quarks, By which that Hadron is made up of. All the Hadrons like, Baryons ( Which consist of Three Quarks ), Anti-Baryons ( Which consist of Three Antiquarks ) or Mesons ( Which consist of One Quark & One Antiquark ) will always sum up to the value of Integer Charges.