## Abstract

Pomeranchuk has conjectured that the cross-sections for charge-exchange processes vanish asymptotically as the energy tends to infinity. (By ''charge'' it is meant any internal quantum number, like electric charge, hypercharge, .. . ). It has been stated by several people that this conjecture implies equalities among the total cross-sections whenever any symmetry scheme is invoked for the strong interactions. But to our knowledge no explicit general proof of this statement has been given so far. We want to give this proof for any compact Lie group. We also prove, under certain assumptions, that the equality of the total cross-sections implies that s{sup -l} times the charge-exchange forward scattering absorptive amplitudes tend to zero as s -> ∞.

Galindo, A.;
Morales, A.;
Ruegg, H.;

^{[1] }European Organization for Nuclear Research, Geneva (Switzerland); University of Geneva, Geneva (Switzerland)]- Junta de Energia Nuclear, Madrid (Spain)

## Citation Formats

Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)].
Pomeranchuk conjecture and symmetry schemes.
IAEA: N. p.,
1963.
Web.

Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), & University of Geneva, Geneva (Switzerland)].
Pomeranchuk conjecture and symmetry schemes.
IAEA.

Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)].
1963.
"Pomeranchuk conjecture and symmetry schemes."
IAEA.

@misc{etde_22568118,

title = {Pomeranchuk conjecture and symmetry schemes}

author = {Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)]}

abstractNote = {Pomeranchuk has conjectured that the cross-sections for charge-exchange processes vanish asymptotically as the energy tends to infinity. (By ''charge'' it is meant any internal quantum number, like electric charge, hypercharge, .. . ). It has been stated by several people that this conjecture implies equalities among the total cross-sections whenever any symmetry scheme is invoked for the strong interactions. But to our knowledge no explicit general proof of this statement has been given so far. We want to give this proof for any compact Lie group. We also prove, under certain assumptions, that the equality of the total cross-sections implies that s{sup -l} times the charge-exchange forward scattering absorptive amplitudes tend to zero as s -> ∞.}

place = {IAEA}

year = {1963}

month = {Jan}

}

title = {Pomeranchuk conjecture and symmetry schemes}

author = {Galindo, A., Morales, A., Ruegg, H., European Organization for Nuclear Research, Geneva (Switzerland), and University of Geneva, Geneva (Switzerland)]}

abstractNote = {Pomeranchuk has conjectured that the cross-sections for charge-exchange processes vanish asymptotically as the energy tends to infinity. (By ''charge'' it is meant any internal quantum number, like electric charge, hypercharge, .. . ). It has been stated by several people that this conjecture implies equalities among the total cross-sections whenever any symmetry scheme is invoked for the strong interactions. But to our knowledge no explicit general proof of this statement has been given so far. We want to give this proof for any compact Lie group. We also prove, under certain assumptions, that the equality of the total cross-sections implies that s{sup -l} times the charge-exchange forward scattering absorptive amplitudes tend to zero as s -> ∞.}

place = {IAEA}

year = {1963}

month = {Jan}

}