# Is it possible to calculate the rest mass of a pion given only its E ?

• rwooduk
In summary, the conversation discusses the possibility of calculating the mass of a pion based on its total energy, assuming it is relativistic and using the Lorentz factor. The concept of rest mass is also mentioned and it is clarified that it is not possible to calculate the rest mass in this scenario. The conversation concludes by thanking the expert for their helpful response.
rwooduk
The TOTAL energy of a pion is given, no other information is given so we don't know how fast it is moving, is it possible to calculate its mass? I'm assuming it's relativistic and we need GAMMA (the lorentz factor)

Also if E is it's total energy what would it's kinetic energy be? wouldn't its kinetic energy be its total energy?

Thanks in advance for any help on this, I've been going round and round in circles.

E = mc2 should help you find the mass when E is given
Here m is not the rest mass, because that requires ##\gamma## for ##m = \gamma m_0##.
So if are they asking for the rest mass the answer is no.
But you ask whether it's possible to calculate the mass (period).

1 person
Thanks very much for the reply!

## 1. Can the rest mass of a pion be calculated using only its energy?

Yes, it is possible to calculate the rest mass of a pion given only its energy. This can be done using the equation E=mc^2, where E is the energy of the pion and c is the speed of light. By rearranging this equation to solve for m, we can calculate the rest mass of the pion.

## 2. What is the rest mass of a pion?

The rest mass of a pion is approximately 0.14 GeV/c^2 (GeV = gigaelectronvolt, c = speed of light).

## 3. How is the rest mass of a pion measured?

The rest mass of a pion can be measured using particle accelerators, which can accelerate pions to high speeds and measure their energy. By using the equation E=mc^2, the pion's rest mass can be calculated from its energy.

## 4. Can the rest mass of a pion change?

Yes, the rest mass of a pion can change depending on its energy and speed. According to Einstein's theory of relativity, an object's mass increases as its speed approaches the speed of light.

## 5. Why is it important to calculate the rest mass of a pion?

The rest mass of a pion is important because it helps us understand the fundamental properties of particles and their interactions. It also plays a crucial role in many areas of physics, such as particle physics and cosmology.

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