dorsal/arxiv
View SchemaTowards reliable calculations of the correlation function
| Authors | Radoslaw Maj, Stanislaw Mrowczynski |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0702011 |
| URL | https://arxiv.org/abs/nucl-th/0702011 |
| DOI | 10.1142/S0218301307009221 |
| Journal | Int.J.Mod.Phys.E16:3244-3261,2007 |
Abstract
The correlation function of two identical pions interacting via Coulomb potential is computed for a general case of anisotropic particle's source of finite life time. The effect of halo is taken into account as an additional particle's source of large spatial extension. Due to the Coulomb interaction, the effect of halo is not limited to very small relative momenta but it influences the correlation function in a relatively large domain. The relativistic effects are discussed in detail and it is argued that the calculations have to be performed in the center-of-mass frame of particle's pair where the (nonrelativistic) wave function of particle's relative motion is meaningful. The Bowler-Sinyukov procedure to remove the Coulomb interaction is tested and it is shown to significantly underestimate the source's life time.
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"abstract": "The correlation function of two identical pions interacting via Coulomb\npotential is computed for a general case of anisotropic particle\u0027s source of\nfinite life time. The effect of halo is taken into account as an additional\nparticle\u0027s source of large spatial extension. Due to the Coulomb interaction,\nthe effect of halo is not limited to very small relative momenta but it\ninfluences the correlation function in a relatively large domain. The\nrelativistic effects are discussed in detail and it is argued that the\ncalculations have to be performed in the center-of-mass frame of particle\u0027s\npair where the (nonrelativistic) wave function of particle\u0027s relative motion is\nmeaningful. The Bowler-Sinyukov procedure to remove the Coulomb interaction is\ntested and it is shown to significantly underestimate the source\u0027s life time.",
"arxiv_id": "nucl-th/0702011",
"authors": [
"Radoslaw Maj",
"Stanislaw Mrowczynski"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1142/S0218301307009221",
"journal_ref": "Int.J.Mod.Phys.E16:3244-3261,2007",
"title": "Towards reliable calculations of the correlation function",
"url": "https://arxiv.org/abs/nucl-th/0702011"
},
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