Comprehensive study of spectroscopic properties of D(s) mesons
Abstract
We decode the excited open charm mesons D (cq̅, q=u,d) and charm strange Ds (cs̅) families within a nonrelativistic quark-antiquark potential model based on the Cornell (Coulomb plus linear) potential supplemented by a Gaussian smeared spin-spin interaction. With only seven parameters determined by fitting the ground state masses, the numerically solved Schrödinger equation reproduces the masses of essentially every confirmed D and Ds state to better than 1%. The same wave functions are then employed to get a complete decay analysis including pseudoscalar and vector decay constants (fD = 231.8~MeV, fDs = 252.2~MeV, the latter within 0.4% of the world average), leptonic branching fractions reproducing the measured μν and τν modes, electromagnetic E1/M1 widths, and all kinematically open strong channels in heavy quark effective theory (HQET). Going beyond width ratios, we extract the full set of HQET couplings gH, gS, gT, gX, gY, gZ, and gR directly from the measured total widths and convert our predictions into absolute widths. The D and Ds sector extractions of each coupling agree (gT = 0.42 vs. $0.39$, gX = 0.22 vs. $0.21$, gY = 0.39 vs. $0.40$), a nontrivial test of heavy quark flavor symmetry, while the pure cs̅ picture demands a 13P0 width nearly two orders of magnitude above the observed Ds0*(2317) bound demanding it to be of exotic nature. Linear and parallel Regge trajectories in the (J,M2) and (nr,M2) planes, with slopes α≃ 0.55−0.65~GeV−2 and β≃ 0.36 − 0.39~GeV−2, identify the assignments of DJ(3000)0, DJ*(3000)0, and D2*(3000)0 as the 31S0, 33S1, and 33P2 states. Our predictions provide concrete, testable targets for LHCb, BESIII, and Belle~II.
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BibTeX
@misc{patel2026comprehensive,
title = {{Comprehensive study of spectroscopic properties of $D_(s)$ mesons}},
author = {Janki. J. Patel and Dhaval Achary and Dhruvesh Maiya and Keval Gandhi and Nakul R. Soni and Jignesh N. Pandya},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12568},
eprint = {2609.12568},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12568},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Comprehensive study of spectroscopic properties of D_(s) mesons
AU - Janki. J. Patel
AU - Dhaval Achary
AU - Dhruvesh Maiya
AU - Keval Gandhi
AU - Nakul R. Soni
AU - Jignesh N. Pandya
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12568
UR - https://arxiv.org/abs/2609.12568
AB - We decode the excited open charm mesons D (cq̅, q=u,d) and charm strange D_s (cs̅) families within a nonrelativistic quark-antiquark potential model based on the Cornell (Coulomb plus linear) potential supplemented by a Gaussian smeared spin-spin interaction. With only seven parameters determined by fitting the ground state masses, the numerically solved Schrödinger equation reproduces the masses of essentially every confirmed D and D_s state to better than 1%. The same wave functions are then employed to get a complete decay analysis including pseudoscalar and vector decay constants (f_D = 231.8~MeV, f_D_s = 252.2~MeV, the latter within 0.4% of the world average), leptonic branching fractions reproducing the measured μν and τν modes, electromagnetic E1/M1 widths, and all kinematically open strong channels in heavy quark effective theory (HQET). Going beyond width ratios, we extract the full set of HQET couplings g_H, g_S, g_T, g_X, g_Y, g_Z, and g_R directly from the measured total widths and convert our predictions into absolute widths. The D and D_s sector extractions of each coupling agree (g_T = 0.42 vs. $0.39$, g_X = 0.22 vs. $0.21$, g_Y = 0.39 vs. $0.40$), a nontrivial test of heavy quark flavor symmetry, while the pure cs̅ picture demands a 1^3P_0 width nearly two orders of magnitude above the observed D_s0^*(2317) bound demanding it to be of exotic nature. Linear and parallel Regge trajectories in the (J,M^2) and (n_r,M^2) planes, with slopes α≃ 0.55−0.65~GeV^−2 and β≃ 0.36 − 0.39~GeV^−2, identify the assignments of D_J(3000)^0, D_J^*(3000)^0, and D_2^*(3000)^0 as the 3^1S_0, 3^3S_1, and 3^3P_2 states. Our predictions provide concrete, testable targets for LHCb, BESIII, and Belle~II.
ER -