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jcyoon
Joined: 08 Aug 2006 Posts: 213

Posted: Mon Oct 23, 2006 9:02 pm Post subject: CPT Tests 


murayama@lbl.gov
Sat 20041002 7:41 AM
Dear Professor Murayama,
Recently, I have read your paper on CPT tests (PLB 597, 73, 2004).
In this paper, it is said that CPT theorem states that a particle and its antiparticle
must have the same mass and lifetime with a reference of Steater and Wightman.
However, I don’t quite understand the connection between CPT symmetry and
mass and lifetime equality especially when C is violation.
I would like to appreciate if let me know your explanation on this.
I sincerely apologize for your time and effort if you find it unworthy of your attention.
Thanks,
J.C. Yoon 

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Hitoshi Murayama
Joined: 28 Sep 2006 Posts: 2

Posted: Mon Oct 23, 2006 9:03 pm Post subject: Re: CPT Tests 


Mon 20041011 1:06 PM
You are right that C is violated. The point is that, even though C is
violated, CPT is enough to tell you that a particle and its
antiparticle should have the same mass and lifetime.
Hitoshi
Hitoshi Murayama
Professor of Physics
University of California
Berkeley, CA 94720
Faculty Senior Staff
Lawrence Berkeley National Laboratory
MS 50A5104
Berkeley, CA 94720 

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jcyoon
Joined: 08 Aug 2006 Posts: 213

Posted: Mon Oct 23, 2006 9:05 pm Post subject: RE: CPT Tests 


murayama@hitoshi.berkeley.edu
Tue 20041026 5:45 AM
Dear Professor Hitosh Murayama,
I am sorry I couldn't get back to you sooner and
I appreciate your response and time.
But, it looks like I was not clear about the question and please allow me to
rephrase it again.
How do you mathematically verify that "even though C is violated, CPT is
enough to tell you that a particle and its antiparticle should have the same
mass and lifetime"?
Thanks,
J.C. Yoon 

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Hitoshi Murayama
Joined: 28 Sep 2006 Posts: 2

Posted: Mon Oct 23, 2006 9:06 pm Post subject: Re: CPT Tests 


Fri 20041105 5:05 PM
It is simply that
H particle> = m particle>
H antiparticle> = (CPT) H (CPT)^1 antiparticle>
= (CPT) H particle> = (CPT) m particle> = m (CPT) particle> = m
antiparticle>
Hitoshi 

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jcyoon
Joined: 08 Aug 2006 Posts: 213

Posted: Mon Oct 23, 2006 9:07 pm Post subject: RE: CPT Tests 


Sat 20041106 3:22 AM
Dear Professor Hitosh Murayama,
Thanks for your response and time.
It looks like it is the same argument in T.D. Lee's book.
Or do you have any other reference of published papers?
I am afraid that this proof is flawed.
(CPT)^1antiparticle> = particle> contradicts with the definition
of charge conjugate, which is supposed to be particle and antiparticle symmetry.
By stating this, it claims that CPT not C is particle and antiparticle symmetry
and this is quite stronger claim than just saying CPT guarantees mass and lifetime
equality. If it is true that antiparticle is CPT operated particle, than we should be able
to derive Dirac equations from Lagrangian based on this definition of particle and
antiparticle besides satisfying the invariance of Lagrangian under CPT. However,
unless we follow the definition of C as particle and antiparticle symmetry, we are not
able to derive Dirac equations for particle and antiparticle from the Lagrangian and,
as matter of fact, we inconsistently use this previous definition of C in this derivation.
Therefore, the proof here is inconsistent with this derivation and flawed since we are
not able to derive Dirac equation successfully with (CPT)^1antiparticle> = particle>.
I would like to appreciate your opinion on this.
Thanks,
J.C. Yoon 

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