dorsal/arxiv
View SchemaPushing and Cranking Corrections to the Meson Fields of the Bosonized Nambu \& Jona-Lasinio Model
| Authors | M. Schleif, R. Wuensch |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9409011 |
| URL | https://arxiv.org/abs/nucl-th/9409011 |
Abstract
We study the effect of center-of-mass motion and rotational corrections on hedgehog meson fields in the bosonized two-flavor Nambu \& Jona-Lasinio model. To remove the spurious motion and to restore good spin and isospin we consider a boosted and rotating soliton instead a static soliton at rest. Modified meson fields are obtained by minimizing a corrected effective energy functional. The importance of the modification is estimated by evaluating expectation values of several observables. Stabile solitonic configurations are obtained for $M\gapp$ 300\,MeV, while static solitons exists for $M\gapp$ 350\,MeV only. Despite the considerable size of the energy corrections (30-50\% of the soliton energy) the main features of the static soliton are preserved. Modified meson profiles are somewhat narrower than static ones and have a different asymptotic behavior, which depends on the isospin quantum number. The modifications increase with increasing constituent quark mass. The valence-quark picture dominates up to very large constituent quark masses. In the physically relevant mass region, the root-mean square radius of the quark distribution is reduced by less than 10 percent. The $\Delta$--nucleon mass-splitting is still weaker affected.
{
"annotation_id": "f138dfe3-2af2-45ac-a952-27d2866f68ce",
"date_created": "2026-03-02T18:00:15.195000Z",
"date_modified": "2026-03-02T18:00:15.195000Z",
"file_hash": "415aa502f3d642461fe81d31c631871de6fb47364513e3aeb3a070c65b09a6ff",
"private": false,
"record": {
"abstract": "We study the effect of center-of-mass motion and rotational corrections on\nhedgehog meson fields in the bosonized two-flavor Nambu \\\u0026 Jona-Lasinio model.\nTo remove the spurious motion and to restore good spin and isospin we consider\na boosted and rotating soliton instead a static soliton at rest. Modified meson\nfields are obtained by minimizing a corrected effective energy functional. The\nimportance of the modification is estimated by evaluating expectation values of\nseveral observables. Stabile solitonic configurations are obtained for $M\\gapp$\n300\\,MeV, while static solitons exists for $M\\gapp$ 350\\,MeV only. Despite the\nconsiderable size of the energy corrections (30-50\\% of the soliton energy) the\nmain features of the static soliton are preserved. Modified meson profiles are\nsomewhat narrower than static ones and have a different asymptotic behavior,\nwhich depends on the isospin quantum number. The modifications increase with\nincreasing constituent quark mass. The valence-quark picture dominates up to\nvery large constituent quark masses. In the physically relevant mass region,\nthe root-mean square radius of the quark distribution is reduced by less than\n10 percent. The $\\Delta$--nucleon mass-splitting is still weaker affected.",
"arxiv_id": "nucl-th/9409011",
"authors": [
"M. Schleif",
"R. Wuensch"
],
"categories": [
"nucl-th"
],
"title": "Pushing and Cranking Corrections to the Meson Fields of the Bosonized Nambu \\\u0026 Jona-Lasinio Model",
"url": "https://arxiv.org/abs/nucl-th/9409011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "77583aa7-abc0-4ec1-b5be-cfcf0b54ad68",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}