Abstract
We study the effect of center-of-mass motion and rotational corrections on hedgehog meson fields in the bosonized two-flavor Nambu and 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> or {approx}300 MeV, while static solitons exists for M> or {approx}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. (orig.)
Schleif, M;
[1]
Wuensch, R
[1]
- Forschungszentrum Rossendorf e.V. (FZR), Dresden (Germany). Inst. fuer Kern- und Hadronenphysik
Citation Formats
Schleif, M, and Wuensch, R.
Pushing and cranking corrections to the Meson fields of the bosonized Nambu and Jona-Lasinio model.
Germany: N. p.,
1994.
Web.
Schleif, M, & Wuensch, R.
Pushing and cranking corrections to the Meson fields of the bosonized Nambu and Jona-Lasinio model.
Germany.
Schleif, M, and Wuensch, R.
1994.
"Pushing and cranking corrections to the Meson fields of the bosonized Nambu and Jona-Lasinio model."
Germany.
@misc{etde_10121396,
title = {Pushing and cranking corrections to the Meson fields of the bosonized Nambu and Jona-Lasinio model}
author = {Schleif, M, and Wuensch, R}
abstractNote = {We study the effect of center-of-mass motion and rotational corrections on hedgehog meson fields in the bosonized two-flavor Nambu and 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> or {approx}300 MeV, while static solitons exists for M> or {approx}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. (orig.)}
place = {Germany}
year = {1994}
month = {Sep}
}
title = {Pushing and cranking corrections to the Meson fields of the bosonized Nambu and Jona-Lasinio model}
author = {Schleif, M, and Wuensch, R}
abstractNote = {We study the effect of center-of-mass motion and rotational corrections on hedgehog meson fields in the bosonized two-flavor Nambu and 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> or {approx}300 MeV, while static solitons exists for M> or {approx}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. (orig.)}
place = {Germany}
year = {1994}
month = {Sep}
}