Center of mass motion in bag model

Abstract

Despite the great success on the mass spectra, the reputation of the bag model has been closely followed by the embarrassment from the center of mass motion. It leads to severe theoretical inconsistencies. For instance, the masses and the decay constants would no longer be independent of the momentum. In this work, we provide a systematical approach to resolve this problem. The meson decay constants as well as the baryon transition form factors can be computed consistently in our framework. Notably, the form factors in the neutron $\beta$ decays do not depend on any free parameters, and are determined to be $F_1^V=1$ and $F_1^A=1.31$ or $F_1^A/F_1^V=1.31$, which is close the experimental value of $F_1^A/F_1^V=1.27$. In addition, we find that $\mathcal{B}({\Lambda }_b\to \Lambda \gamma )=(6.8\pm 3.3)\times 10^{-6}$, which agrees to the experimental value of $(7.1\pm 1.7)\times 10^{-6}$.

21 pages, 2 figures

References in corpus (12)

• Baryons with two heavy quarks: Masses, production, decays, and detection
• New insights into the nucleon's electromagnetic structure
• Constraining values of bag constant for strange star candidates
• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Maximum mass of a hybrid star having a mixed phase region in the light of pulsar PSR J1614-2230
• Nonleptonic two-body weak decays of ${\Lambda }_b$ in modified MIT bag model
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Time-reversal asymmetries and angular distributions in ${\Lambda }_b\to \Lambda V$
• Sizable Time-reversal violating effects in bottom baryon decays
• Study of charmless two-body baryonic $B$ decays
• A new angle on an old problem: Helicity approach to neutron beta decay in the Standard Model
• Searching $B_c^{\ast }$ via conservation laws

Cited by in corpus (3)

• Doubly charmed baryon decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ in the quark model
• Semileptonic decays of doubly charmed baryons with bag model
• Prospects for compact hexaquarks under the limitation imposed by quark confinement