dorsal/arxiv
View SchemaIrreducible tensor approach to spin observables in photo production of mesons with arbitrary spin-parity $s^{\pi}$
| Authors | G. Ramachandran, M. S. Vidya, J. Balasubramanyam |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0702023 |
| URL | https://arxiv.org/abs/nucl-th/0702023 |
| DOI | 10.1103/PhysRevC.75.065201 |
| Journal | Phys.Rev.C75:065201,2007 |
Abstract
A theoretical formalism leading to elegant derivation of formulae for all spin observables is outlined for photo production of mesons with arbitrary spin parity $s^{\pi}$. The salient features of this formalism based on irreducible tensor techniques are i) the number of independent irreducible tensor amplitudes is $4(2s+1)$, ii) a single compact formula is sufficient to express these amplitudes in terms of allowed electric and magnetic multipole amplitudes and iii) all the spin observables including beam analyzing powers as well as the differential cross section are expressible in terms of bilinear irreducible tensors of rank 0 to $2(s+1)$. The relationship between the irreducible tensor amplitudes and the helicity amplitudes is elucidated in general and explicit expressions for the helicity amplitudes are given in terms of the irreducible tensor amplitudes in the particular cases of pseudoscalar and vector meson photo production. The connection between the irreducible tensor amplitudes introduced here and the well known CGLN amplitudes for photo production of pseudoscalar mesons is also established.
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"abstract": "A theoretical formalism leading to elegant derivation of formulae for all\nspin observables is outlined for photo production of mesons with arbitrary spin\nparity $s^{\\pi}$. The salient features of this formalism based on irreducible\ntensor techniques are i) the number of independent irreducible tensor\namplitudes is $4(2s+1)$, ii) a single compact formula is sufficient to express\nthese amplitudes in terms of allowed electric and magnetic multipole amplitudes\nand iii) all the spin observables including beam analyzing powers as well as\nthe differential cross section are expressible in terms of bilinear irreducible\ntensors of rank 0 to $2(s+1)$. The relationship between the irreducible tensor\namplitudes and the helicity amplitudes is elucidated in general and explicit\nexpressions for the helicity amplitudes are given in terms of the irreducible\ntensor amplitudes in the particular cases of pseudoscalar and vector meson\nphoto production. The connection between the irreducible tensor amplitudes\nintroduced here and the well known CGLN amplitudes for photo production of\npseudoscalar mesons is also established.",
"arxiv_id": "nucl-th/0702023",
"authors": [
"G. Ramachandran",
"M. S. Vidya",
"J. Balasubramanyam"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.065201",
"journal_ref": "Phys.Rev.C75:065201,2007",
"title": "Irreducible tensor approach to spin observables in photo production of mesons with arbitrary spin-parity $s^{\\pi}$",
"url": "https://arxiv.org/abs/nucl-th/0702023"
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